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Konu anlatımı slaytları ve ilgili soru çözümleri de içeriğe dahil edilmiştir."]},"endTime":941,"title":"Statik ve Fizik Dersi: Temel Kavramlar ve Birim Sistemleri","beginTime":0}],"fullResult":[{"index":0,"title":"Statik Dersi Giriş","list":{"type":"unordered","items":["Statik dersi konu anlatımı ve soru çözümleri ile anlatılacaktır.","Mekaniğin tanımı, tarihsel gelişimi, temel kavramlar ve statikte yapılan idealleştirmeler ele alınacaktır.","Newton'un hareket kanunları ve ölçü birim sistemleri incelenecektir."]},"beginTime":1,"endTime":66,"href":"/video/preview/7664566272673733707?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=1&ask_summarization=1"},{"index":1,"title":"Mekaniğin Tanımı ve Tarihsel Gelişimi","list":{"type":"unordered","items":["Mekanik, kuvvet etkisi altında cisimlerin davranışını inceler; cisimler hareket edebilir, denge durumunda olabilir veya deformasyona uğrayabilir.","Mekanik, fizik bilimlerinin en eski koludur ve erken tarihi mühendisliğin başlangıcıyla aynıdır.","Arşiment, kaldırma ilkeleri üzerine ilk yazılı kaynakları yazarken, Galileo (1564-1642) sarkaçlar ve düşen cisimler üzerinde çalışmıştır."]},"beginTime":66,"endTime":154,"href":"/video/preview/7664566272673733707?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=66&ask_summarization=1"},{"index":2,"title":"Mekanikin Ana Kolları","list":{"type":"unordered","items":["Mekanik üç ana başlık altında incelenebilir: rijit cisim mekaniği, şekil değiştiren cisimler mekaniği ve akışkanlar mekaniği.","Rijit cisim mekaniği, cisimlerin şekil değiştirmeyeceğini varsayar ve statik ile dinamik olmak üzere ikiye ayrılır.","Şekil değiştiren cisimler mekaniği, cisimlerin şekil değiştirmelerini ve gerilmelerini inceler ve mukavemet, elastisite, plastisite ve viskozite olmak üzere üçe ayrılır."]},"beginTime":154,"endTime":209,"href":"/video/preview/7664566272673733707?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=154&ask_summarization=1"},{"index":3,"title":"Mekanikteki Temel Büyüklükler","list":{"type":"unordered","items":["Mekanikte kullanılan temel büyüklükler uzunluk, zaman, kütle ve kuvvettir.","Uzunluk, uzaydaki bir noktanın konumunu belirlemek için kullanılan ifadedir ve açısal ya da doğrusal ölçümlerle temsil edilebilir.","Zaman, birbirini izleyen olayların ölçüsüdür ve Newton mekaniğinde mutlak olarak kabul edilmektedir."]},"beginTime":209,"endTime":269,"href":"/video/preview/7664566272673733707?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=209&ask_summarization=1"},{"index":4,"title":"Kütleye ve Kuvvete İlişkin Tanımlar","list":{"type":"unordered","items":["Kütle, bir cismin davranışını diğer cismin davranışı ile kıyaslamak için kullanılan madde özelliğidir ve hızdaki değişimin, yani ivmeye karşı gösterilen direncin, ataletin ölçüsüdür.","Kuvvet, bu bağımsız değişkenlere bağlı olarak hesaplanan bir büyüklüktür.","Statikte parçacık (kütlesi olan, boyutları ihmal edilen cisim) ve rijit cisim (şekil değiştirmeleri ihmal edilebilir derecede olduğu varsayılan cisim) gibi idealleştirmeler yapılır."]},"beginTime":269,"endTime":366,"href":"/video/preview/7664566272673733707?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=269&ask_summarization=1"},{"index":5,"title":"Newton'un Hareket Kanunları","list":{"type":"unordered","items":["Newton'un birinci kanunu: Bir cisim üzerine etki eden bileşke kuvvet sıfırsa, cisim duruyorsa durmaya, hareket ediyorsa sabit hızla hareket etmeye devam eder.","Newton'un ikinci kanunu: Bir cisim üzerinde dengelenmemiş bir kuvvet varsa, bu cisme etkiyen kuvvet uygulandığı doğrultuda cismi ivmelendirir (F = m × a).","Newton'un üçüncü kanunu (etki-tepki prensibi): Bir cisim bise bir kuvvet uyguluyorsa, bise de aya aynı büyüklükte bir kuvvet uygulayacaktır."]},"beginTime":366,"endTime":449,"href":"/video/preview/7664566272673733707?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=366&ask_summarization=1"},{"index":6,"title":"Newton'un Gravitasyonel Çekim Kanunu","list":{"type":"unordered","items":["Newton'un gravitasyonel çekim kanunu: İki cismin birbirine uyguladığı gravitasyonel kuvvet F = G × (m₁ × m₂) / r² formülüyle hesaplanır.","G, evrensel gravitasyonel sabittir ve 6,67 × 10⁻¹² m³/kg·s² değerindedir.","Yerçekimi ivmesi (g) yerdeki cismin ağırlığını belirler ve SI birim sisteminde 9,81 m/s², İngiliz birim sisteminde ise 32,2 ft/s² veya 32,2 pound değerindedir."]},"beginTime":449,"endTime":625,"href":"/video/preview/7664566272673733707?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=449&ask_summarization=1"},{"index":7,"title":"Ölçü Birim Sistemleri","list":{"type":"unordered","items":["SI birim sistemi metre, kilogram ve saniye cinsinden ifade edilirken, CGS birim sistemi santimetre, gram ve saniye, İngiliz birim sistemi ise fit, slug ve saniye şeklinde ifade edilir.","SI birim sisteminde uzunluk birimi metre, kütle birimi kilogram ve zaman birimi saniyedir.","Bir kuvvet birim olarak Newton (N) kullanılır ve 1 Newton, 1 kilogramlık bir cismin 1 metre/saniye² ivmelendirmesine denktir."]},"beginTime":625,"endTime":741,"href":"/video/preview/7664566272673733707?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=625&ask_summarization=1"},{"index":8,"title":"Birim Sistemler ve Az/Üst Katlar","list":{"type":"unordered","items":["Uzunluk birimi metre, kütleye birim kilogram olarak ifade edilir.","Az katlar ve üst katlar olarak ikiye ayrılan birim sistemlerinde, az katlar metreyi 10 üzeri 9 ile çarparak 10 üzeri 9 metre (Giga) ifade eder.","Üst katlar ise metreyi 10 üzeri -6 ile çarparak mikrometre (10 üzeri -6 metre) oluşturur."]},"beginTime":749,"endTime":834,"href":"/video/preview/7664566272673733707?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=749&ask_summarization=1"},{"index":9,"title":"Diğer Birimler ve Dönüşümler","list":{"type":"unordered","items":["Bu üstel formlar uzunluk birimleri için değil, diğer büyüklükler için de kullanılabilir.","Nanogram, gramın 10 üzeri -9 katıdır ve 1 nano gram = 10 üzeri -9 grama eşittir.","İngiliz birim sisteminde kullanılan \"slug\", kilogramı ifade etmektedir ve 1 slug = 14,59 kilograma 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Ardından birim sistemleri (SI ve İmperial), maddesel nokta kavramı, rijit cisim ve tekil kuvvet gibi mekanik kavramları açıklamaktadır. Daha sonra Newton'un üç kanunu ve mekaniğin temel prensipleri anlatılmakta, son olarak kara delik teorisi, Einstein'ın genel görelilik kuramı ve Newton ile Einstein'ın kütleçekim kuramlarının karşılaştırılması yapılmaktadır.","Video ayrıca kozmolojik kavramlar, Big Bang teorisi, Edwin Hubble'ın kırmızıya kayma keşfi ve Eddington'in Einstein'ın teorisini kanıtlama deneyi gibi konuları da içermektedir. Fiziksel büyüklüklerin birimleri, vektörler, süperpozisyon ve kayıcılık ilkesi gibi temel fizik kavramları da detaylı şekilde açıklanmaktadır."]},"endTime":5869,"title":"Fizik Dersi: Gravitasyon, Mekanik ve Kozmoloji","beginTime":0}],"fullResult":[{"index":0,"title":"Öğretmenin Tanıtımı","list":{"type":"unordered","items":["İbrahim Kutay Yılmaz Çoban, Sakarya Üniversitesi'nde yaklaşık yirmi yıl görev yapmış bir öğretmendir.","Öğretmen, 2003-2005 yılları arasında TÜBİTAK'ta görev yapmış ve kendi özel tasarım mühendislik danışmanlık şirketini yönetmiştir.","Yurtdışında Arizona State Üniversitesi, MIT, Harvard ve California Üniversitesi Berkeley'de proje çalışmaları yapmış, sonrasında Türkiye'ye dönmüştür."]},"beginTime":1,"endTime":97,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=1&ask_summarization=1"},{"index":1,"title":"Ders İçeriği ve Kaynaklar","list":{"type":"unordered","items":["Sakarya Üniversitesi'nde mekanik ana bilim dalında statik, mukavemet, dinamik gibi temel mekanik dersleri ve kompozit malzeme mekaniği gibi yüksek lisans derslerini vermektedir.","Statik dersinde Hibbeler'in \"Engineering Mechanics - Statics\" kitabı ve Türkçe çevirisi kullanılmaktadır.","Statik, mühendisliğin en temel ve giriş derslerinden biridir, özellikle makine, inşaat, endüstri ve malzeme bölümlerinde."]},"beginTime":97,"endTime":233,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=97&ask_summarization=1"},{"index":2,"title":"Dersin Önemi ve Öğrenme Yöntemi","list":{"type":"unordered","items":["Statik dersi, temel kavramlar, mekaniğin alt dalları, maddenin tanımı ve mekaniğin temel prensiplerini içermektedir.","Dersi takip ederken defter tutmak, not almak ve anlamadığınız yerleri sormak önemlidir.","Konuya odaklı, ne olduğunu ve nasıl çözümleme yapıldığını anlayarak öğrenmek gerekir, sadece soru çözerek ezberleme yanlıştır."]},"beginTime":233,"endTime":468,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=233&ask_summarization=1"},{"index":3,"title":"Statikin Tanımı ve Kullanım Alanları","list":{"type":"unordered","items":["Statik, durağan haldeki cisimleri incelenmesidir ve kuvvetlerin etkisiyle ortaya çıkan reaksiyon durumlarının incelenmesidir.","Statik, hareket etmeyen veya sabit hızla hareket eden ve bu hareketine devam eden durumlarda geçerlidir, hareket eden durumlar dinamik olarak adlandırılır.","Statik bilgisiz kalarak konteyner gemisi gibi önemli projelerde devrilmeler gibi felaketler yaşanabilir."]},"beginTime":468,"endTime":702,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=468&ask_summarization=1"},{"index":4,"title":"Ders İçeriği ve Konular","list":{"type":"unordered","items":["Dersin ilk haftasında genel ilkeler, temel kavramlar, mekaniğe giriş, maddenin tanımı ve mekaniğin temel prensipleri ele alınacaktır.","Sonraki haftalarda vektörler, kuvvet vektörleri, parçacık ve rijit cisim dengesi, kuvvet bileşkeleri ve momentler konuları işlenecektir.","Yapısal analiz, kafes sistemleri, çerçeveler, iç kuvvetler, sürtünme, ağırlık merkezi, geometrik merkez ve atalet momenti gibi konular da ders programında yer almaktadır."]},"beginTime":702,"endTime":902,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=702&ask_summarization=1"},{"index":5,"title":"Mekanik ve Statik Kavramları","list":{"type":"unordered","items":["Mekanik, kuvvet etkisi altındaki cisimlerin denge ve hareket şartlarını incelenen bir bilim dalıdır.","Mekanik alt bilim dalları olarak rijit cisim mekaniği, elastik cisim mekaniği (katı hal mekaniği) ve akışkanlar mekaniği bulunmaktadır.","Statik, cisimlerin dengede olduğu durumları incelerken, dinamik ise hareket halindeki cisimleri incelemektedir."]},"beginTime":910,"endTime":981,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=910&ask_summarization=1"},{"index":6,"title":"Statik Uygulamaları","list":{"type":"unordered","items":["Köprüler statik hesaplamaların önemli uygulama alanlarından biridir; köprülerin taşıyabileceği maksimum kuvvet hesaplanarak emniyet tedbirleri alınır.","Makine mühendisliğindeki testere tezgahları gibi cihazlar statik hesaplamalarla sabit çalışmayan haldeki durumları için oluşan yükler ve reaksiyon kuvvetleri hesaplanır.","Biyomekanik alanında implantlar gibi cisimlerin çiğneme kuvvetlerine karşı dayanıklılığı statik hesaplamalarla incelenir."]},"beginTime":981,"endTime":1409,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=981&ask_summarization=1"},{"index":7,"title":"Mekanik Alt Dalı","list":{"type":"unordered","items":["Mekanik, dış kuvvetlerin etkisi ile cisimlerin hareketini ve dengesini araştıran bir bilim dalıdır.","Rijit cisim mekaniği, kuvvet uygulandıktan sonra bile cisim bileşenlerinin yerlerini değiştirmemesi durumunu inceler.","Elastik cisim mekaniği (katı hal mekaniği), cisme kuvvet uygulandığında cismin deforme olup şeklini değiştirmesini inceler."]},"beginTime":1409,"endTime":1628,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=1409&ask_summarization=1"},{"index":8,"title":"Elastik ve Plastik Davranış","list":{"type":"unordered","items":["Elastik davranış, cisme kuvvet uygulandıktan sonra kuvvet kaldırıldığında cismin eski haline geri dönmesidir ve elastisite teorisi ile açıklanır.","Plastik davranış, cisme kuvvet uygulandıktan sonra kuvvet kaldırıldığında cismin eski haline dönmemesi ve kalıcı deformasyon oluşması durumudur.","Akışkanlar mekaniği, gazlar ve sıvılar gibi akışkanların davranışlarını inceler ve sıkıştırılabilen ile sıkıştırılamayan akışkanlar olarak ikiye ayrılır."]},"beginTime":1628,"endTime":1797,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=1628&ask_summarization=1"},{"index":9,"title":"Mekanikin Alt Bölümleri","list":{"type":"unordered","items":["Katı hal mekaniği (solid mekanik) ve rijit cisim mekaniği katı hal mekaniğinin bir parçasıdır.","Rijit cisim mekaniği, şeklini değiştirmeyen cisimlerin statik ve dinamik davranışlarını \"engineering mechanics\" başlığı altında inceler.","Şekil değiştirebilen katı hal mekanik \"solid mechanics\" veya \"strength of materials\" olarak, akışkanlar ise \"fluid dynamics\" olarak incelenir."]},"beginTime":1803,"endTime":1875,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=1803&ask_summarization=1"},{"index":10,"title":"Sürekli Ortam Mekaniği","list":{"type":"unordered","items":["Katı nesnelerde, sıvılarda ve gazlarda sürekli bir ortamın devam ettiği gözlemlenir.","Tüm bu alanlar \"sürekli ortam mekaniği\" (continuum mechanics) başlığı altında incelenebilir.","Sürekli ortam mekaniği çok kapsamlı ve karmaşık olduğu için lisansta genellikle rijit cisimler, deformasyon durumları ve akışkanlar mekaniği gibi alt birimlere ayrılarak çalışılır."]},"beginTime":1875,"endTime":1995,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=1875&ask_summarization=1"},{"index":11,"title":"Mekanikin Tarihsel Gelişimi","list":{"type":"unordered","items":["Mekanikin incelenmesi MÖ 3. yüzyıllardaki Aristo'ya kadar uzanır.","MÖ 2. yüzyılda Arşimet, eski Hint, Çin, Mısır ve Yunan kaynaklarında da mekanik konuları çalışılmıştır.","Mekanikte önemli bir yer işte Cizre'de yaşamış olan, dünyanın gelmiş geçmiş en büyük ilim adamı olarak nitelendirilen el-Cezeri'dir."]},"beginTime":1995,"endTime":2101,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=1995&ask_summarization=1"},{"index":12,"title":"El-Cezeri'nin Katkıları","list":{"type":"unordered","items":["El-Cezeri M.S. 1100'lü yıllarda yaşamış ve otomatik robotlar, suyun basıncını kullanan su dağıtım şebekeleri ve makinalar yapmıştır.","Fil saati adı verilen mekanizması, mevsimleri, saatleri, ibadet vakitlerini gösterir ve suyun basıncıyla çalışır.","İstanbul'da Sirkeci'de, Eminönü tarafında, Gülhane Parkı'nda Prof. Dr. Fuat Sezgin'in kurduğu müzede İslam ve Türk bilim adamlarının aletleri ve ekipmanları sergilenmektedir."]},"beginTime":2101,"endTime":2178,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=2101&ask_summarization=1"},{"index":13,"title":"Tarih Boyunca Ulaşım ve Bilim","list":{"type":"unordered","items":["15. yüzyılda GPS gibi bir teknoloji olmadığı için, keşif gezileri için usturlap adı verilen bir yön bulma cihazı kullanılıyordu.","Usturlap, günümüzdeki GPS'e benzer şekilde, gemicilere yön bulma ve hedefe ulaşma konusunda yardımcı olan bir araçtı.","Amerika keşfedildiğinde, Columbus bu kıta yerlilerini \"İndian\" olarak adlandırmıştı çünkü Hindistan'a gittiğini düşünüyordu."]},"beginTime":2191,"endTime":2270,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=2191&ask_summarization=1"},{"index":14,"title":"Türk ve İslam Bilim Adamları","list":{"type":"unordered","items":["Türk ve İslam bilim adamları, Pers bilim adamları gibi öncü matematikçiler ve rasat bilimcileri vardı.","Ömer Hayyam, İbnu'l-Heysam, Lagari, Hasan Çelebi ve Ali Kuşçu gibi matematikçiler ve bilim insanları önemli katkılar sağladı.","El-Harizmi, matematiğin en büyük devlerinden biri olup, sıfırın icadı ve arap rakamlarının kullanımlarıyla matematiğin en büyük devrimini gerçekleştirdi."]},"beginTime":2270,"endTime":2343,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=2270&ask_summarization=1"},{"index":15,"title":"Harizmi'nin Katkıları","list":{"type":"unordered","items":["Harizmi, ikinci dereceden polinomları çözen ve alan hesaplarını bulan kişiydi.","Sıfırın matematikte kullanılması, negatif sayılar ve koordinat sistemlerinin ortaya çıkmasını kolaylaştırdı.","Harizmi, cebir ilmini bulan kişiydi ve \"El-Cebir\" adlı eseri Avrupa'da 200-250 yıl boyunca temel matematik kitabı olarak okutuldu."]},"beginTime":2343,"endTime":2428,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=2343&ask_summarization=1"},{"index":16,"title":"Avrupa'nın Bilimsel Gelişimi","list":{"type":"unordered","items":["O dönemde Avrupa'da ilim insanları \"cadı\" olarak görülüp yakılıyordu, ancak Endülüs'ten gelen Müslümanlar sayesinde ilim öğrenmeye başladılar.","Türk bilim insanları, Amerika'da Washington DC'deki uçak müzesinde gösterilmediği gibi, Hezarfen Ahmet Çelebi gibi 200-250 yıl önce kanatla uçan kişiler de vardı.","Rönesans döneminde Leonardo da Vinci, Kepler ve Galileo gibi bilim insanları matematik, fizik ve rasat bilimlerinde ilerleme kaydetti."]},"beginTime":2428,"endTime":2566,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=2428&ask_summarization=1"},{"index":17,"title":"Modern Bilim Tarihi","list":{"type":"unordered","items":["Newton, mekaniğin temellerini ortaya koydu ve türev-integral kavramlarını geliştirdi.","Lambert prensipleri, Lagrange denklemleri ve Hamilton yaklaşımları gibi matematiksel kavramlar ortaya çıkmaya başladı.","Konuşmacı, kozmolojiye ve konuyla ilgili alanlarına geçeceğini belirtiyor."]},"beginTime":2566,"endTime":2613,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=2566&ask_summarization=1"},{"index":18,"title":"Mekanikte Temel Kavramlar","list":{"type":"unordered","items":["Maddenin tarifi ve temel kavramlar mekanikte önemlidir.","Tekil kuvvet (concentrated force) bir noktaya tekabül eden kuvvet olarak tanımlanır.","Maddesel nokta (partikül), geometrisi olsa bile bir nokta gibi kabul edilen bir parçacıktır."]},"beginTime":2619,"endTime":2764,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=2619&ask_summarization=1"},{"index":19,"title":"Rijit Cisim ve Kuvvet","list":{"type":"unordered","items":["Rijit cisim (rijit body), şeklini hiçbir zaman değiştirmeyen bir cisimdir.","Tekil kuvvet, sanki bir noktaya etki eden kuvvet olarak tanımlanır.","Kuvveti tanımlamak için şiddeti, tatbik noktası, doğrultusu ve yönü gerekir."]},"beginTime":2764,"endTime":2809,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=2764&ask_summarization=1"},{"index":20,"title":"Kozmoloji ve Gözlemevleri","list":{"type":"unordered","items":["Gözlemevlerinde kullanılan mercekler, çok hassas cam malzemeden üretilir.","Arizona'daki bir gözlemevinde 1930-40'lı yıllarda üretilen 3-3,5 metre çapında, 90-100 cm yüksekliğinde mercekler kullanılır.","Arjantin'de dağlar arasında vadi kazılarak 150 metre çapında çanak anten kurulmuştur."]},"beginTime":2809,"endTime":3022,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=2809&ask_summarization=1"},{"index":21,"title":"Edwin Hubble ve Evrenin Genişlemesi","list":{"type":"unordered","items":["Edwin Hubble, uzaydaki Hubble teleskobu ile gezegenleri rasat ederken kırmızıya kayma (redshift) etkisini fark etmiştir.","Hubble, gezegenlerin birbirlerine göre konumlarının kırmızıya kayması sonucunda evrenin genişlediğini ve bunun bir başlangıcı olduğunu öne sürmüştür.","Bu teori, Big Bang teorisinin temellerini atmıştır, ancak günümüzde bazı ilim adamları bu teorinin zayıf olduğunu düşünmektedir."]},"beginTime":3022,"endTime":3401,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=3022&ask_summarization=1"},{"index":22,"title":"Madde ve Cisim Kavramları","list":{"type":"unordered","items":["Madde, uzayda yer kaplayan her şeydir.","Cisim, maddenin kapalı bir yüzeyle çevrelenmiş halidir.","Cisimler katı, sıvı ve gaz şeklinde olabilir ve davranışlarına göre rijit, elastik, plastik, elastoplastik, viscoelastik, viskoplastik, hiperelastik veya süperplastik olarak sınıflandırılabilir."]},"beginTime":3406,"endTime":3515,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=3406&ask_summarization=1"},{"index":23,"title":"Temel Altı Prensip","list":{"type":"unordered","items":["Birinci prensip olan paralelkenar kanunu, iki kuvvetin bileşkesinin paralelkenarın köşegeni olarak hesaplandığını gösterir.","İkinci prensip olan süperpozisyon ve kayıcılık ilkesi, bir kuvvetin doğrultusunu değiştirmeden cismin farklı bir noktasına taşınabilmesini ifade eder.","Rijit cismin bir noktasını etkileyen bir kuvvetin yerine, aynı tesir çizgisi üzerinde aynı şiddet ve doğrultuda başka bir noktaya etkiyen bir kuvvet konulduğunda, cismin dengesi ve hareket durumu değişmez."]},"beginTime":3515,"endTime":3788,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=3515&ask_summarization=1"},{"index":24,"title":"Newton'un Kanunları","list":{"type":"unordered","items":["Newton'un birinci kanunu, bir maddesel noktanın sabit duruyorsa veya sabit hızla hareket ediyorsa bu hareketine aynen devam edeceğini belirtir.","Newton'un ikinci kanunu, maddesel noktanın ivmesinin uygulanan bileşke kuvvetinin büyüklüğü ile doğru orantılı olduğunu ve ivmenin kuvvetle aynı doğrultu ve yönde olduğunu ifade eder.","Newton'un üçüncü kanunu (etki-tepki prensibi), bir nesneye temas halinde bir kuvvet verildiğinde, öbür nesnenin reaksiyon kuvveti olarak tepkisini verdiğini ve bu kuvvetlerin eşit olduğunu belirtir."]},"beginTime":3788,"endTime":4032,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=3788&ask_summarization=1"},{"index":25,"title":"Yerçekimi Etkisi","list":{"type":"unordered","items":["Yerçekimi etkisi, kütlesel çekim kanunu veya genel çekim yasası olarak da bilinir.","Kütlesel çekim kanunu anlatmak için kozmolojiye geri dönülmesi gerekir."]},"beginTime":4032,"endTime":4076,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=4032&ask_summarization=1"},{"index":26,"title":"Kara Delik Teorisi","list":{"type":"unordered","items":["Kara delik teorisi, çekim gücünü açıklamaya çalışır ve büyük yıldızların son aşamasını anlatır.","Büyük yıldızlarda, kütlesi, çapı ve enerjisi güneşe göre belirli bir sınırın üzerinde olduğunda, içeride üretilen enerji çok fazla olur.","Yıldızın içinde atomlar yüksek sıcaklıkta birbirine yapışarak hidrojenin helyuma dönüşmesi gibi nükleer reaksiyonlar gerçekleşir."]},"beginTime":4082,"endTime":4194,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=4082&ask_summarization=1"},{"index":27,"title":"Süpernova ve Kara Delik Oluşumu","list":{"type":"unordered","items":["Yıldızın içindeki atomlar o kadar hızlı dönerler ki, hidrojenler birleşerek demir gibi ağır elementler oluşturabilir.","Yıldızın yoğunluğu arttıkça kütlesel çekimi de artar ve yıldız küçülür, ancak bir noktada kendi çekim kuvveti ve kütlesi bunu kaldıramaz ve süpernova patlaması gerçekleşir.","Süpernova patlamasından sonra yıldızın merkezinde küçük bir nokta kalır ve bu nokta kara delik olarak adlandırılır."]},"beginTime":4194,"endTime":4288,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=4194&ask_summarization=1"},{"index":28,"title":"Kara Delik Özellikleri","list":{"type":"unordered","items":["Kara delik, çok küçük bir nokta olup sonsuz çekim kuvvetine sahiptir ve etrafında nesne yoktur.","Kara delik, etrafındaki tozları kendi etrafına çekerek döndürür ve bu tozlar içine girip kaybolurken ışıma meydana gelir.","Kara delikte çekim kuvveti o kadar fazla ki, ışınlar bile kaçamaz ve yüzeye normal olan açıları bile geri çevirmeye başlar."]},"beginTime":4288,"endTime":4407,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=4288&ask_summarization=1"},{"index":29,"title":"Kara Delik Teorisi ve Einstein","list":{"type":"unordered","items":["Kara delik teorisi, Newton hesaplarının yanlış olduğunu gösteren Eddington tarafından keşfedilmiştir.","Eddington, Einstein'ın 10 sene önce yayınladığı makalesini okurken, Newton denklemlerindeki hatayı fark etmiştir.","Einstein'ın teorisi, genel çekim kanununu açıklamaya çalışır ve güneşin arkasındaki bir yıldızın görünümünü nasıl etkilediğini açıklar."]},"beginTime":4407,"endTime":4515,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=4407&ask_summarization=1"},{"index":30,"title":"Newton ve Einstein'in Kütleçekim Teorileri","list":{"type":"unordered","items":["Newton'un kütleçekim teorisine göre cisimler kendi ağırlıklarından dolayı birbirlerini çeker, ancak Einstein'a göre kütleler sadece kütleyi değil, yıldızlardan gelen ışığı da kendine doğru çeker.","Newton'un gravitasyon denklemi F = G * (M * m) / r² şeklinde yazılır, burada G evrensel gravitasyon sabiti, M büyük nesnenin kütlesi, m küçük nesnenin kütlesi ve r ikisinin arasındaki uzaklık.","Kütleçekim kozmolojik bir olaydır ve büyük cisimler arasında gerçekleşir, küçük cisimler arasında (örneğin şişman bir adam ve zayıf bir adam) bu etki gözlemlenebilir seviyede değildir."]},"beginTime":4522,"endTime":4580,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=4522&ask_summarization=1"},{"index":31,"title":"Eddington'in Gözlemi","list":{"type":"unordered","items":["Eddington, Einstein'ın teorisini kanıtlamak için tutulma sırasında yıldızların ışığının nasıl büküldüğünü gözlemlemek üzere Güney Afrika'ya gidmiştir.","Tutulma sırasında güneşin ışığı bloke edilir ve yakınındaki nesneler görülebilir, bu durumda Newton'un teorisine göre yıldızlar aynı yerde olmalı, ancak Einstein'ın teorisine göre yıldızlar güneşin etkisiyle farklı yerlerde görünecektir.","Eddington'in fotoğraflarında yıldızların farklı yerlerde görülmesi Einstein'ın teorisini doğrulamıştır ve bugün ileri teknoloji roket sistemlerinde, balistik sistemlerinde ve uzay mekiği hesaplarında Einstein mekaniği kullanılmaktadır."]},"beginTime":4580,"endTime":4750,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=4580&ask_summarization=1"},{"index":32,"title":"Uzay Mekiği Hesaplamaları","list":{"type":"unordered","items":["Uzay mekiği fırlatımları, dünyanın dönme ekseni ve atmosferi etkisinden faydalanılarak, belirli saatlerde yapılmalıdır.","Mekiğin Dünya'nın yerçekiminden kurtulabilmesi için yaklaşık 40.000 km/s hızına ulaşması ve mekiğin yaklaşık %80'i yakıt olarak kullanılır.","Mekiği ayda inerken, doğrudan çarpmak yerine yavaş yavaş teğet olacak şekilde indirerek hasarı en aza indirmek gerekir."]},"beginTime":4750,"endTime":4852,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=4750&ask_summarization=1"},{"index":33,"title":"Einstein'in Kütleçekim Anlayışı","list":{"type":"unordered","items":["Einstein, kütleçekimini bir çarşaf örneğiyle açıklar: dört kişi tarafından tutulan çarşafın ortasına bir bowling topu bırakıldığında, çarşaf ortaya doğru eğim gösterir.","Kütleçekiminde cisimler hem düzlemde hareket eder hem de aşağıya doğru iner, bu üç boyutlu bir hareket olarak tanımlanır.","Einstein, konumun yanı sıra zamanın da büküldüğünü ve hesaplamalar için dördüncü bir eksene ihtiyaç olduğunu belirtmiştir."]},"beginTime":4852,"endTime":4955,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=4852&ask_summarization=1"},{"index":34,"title":"Gravitasyon Formülü ve Yerçekimi","list":{"type":"unordered","items":["Gravitasyon formülü F = G * (m1 * m2) / r² şeklinde yazılır, burada G evrensel gravitasyon sabiti (6,67 × 10^-12 m³/kg·s²), m1 ve m2 kütleler, r ise iki partikül arasındaki mesafe.","Yerçekimi ivmesi (g) 9,81 m/s² değerindedir ve bir cismin ağırlığı (W) kütle çarpı yerçekimi ivmesi (W = m * g) formülüyle hesaplanır.","Bir cismin Dünya yüzeyine olan mesafesi (h) çok küçük olduğundan, hesaplamalarda bu değer ihmal edilir."]},"beginTime":4955,"endTime":5255,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=4955&ask_summarization=1"},{"index":35,"title":"Gravitasyon Kuvveti Hesaplama","list":{"type":"unordered","items":["Gravitasyon kuvveti hesaplaması için dünyanın kütlesi (5.976 × 10²⁴ kg) ve yarıçapı (6.378.300 m) bilgileri kullanılır.","Bir kişinin (70 kg) ağırlığı gravitasyon formülüyle 686,9 N olarak hesaplanırken, basit formülle 686,7 N olarak bulunur.","Gravitasyon ivmesi 9,81 m/s² olarak ifade edilir."]},"beginTime":5268,"endTime":5417,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=5268&ask_summarization=1"},{"index":36,"title":"Birim Sistemleri","list":{"type":"unordered","items":["Dünya'da en çok kullanılan iki tip birim sistemi vardır: SI (International System of Units) ve İmperial sistem.","SI sisteminde metre, kilogram, saniye ve newton gibi birimler kullanılır.","Kuvvet bağımsız bir birim değildir çünkü kuvvet kütle ve ivmenin çarpımıdır."]},"beginTime":5417,"endTime":5536,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=5417&ask_summarization=1"},{"index":37,"title":"Fiziksel Boyutlar ve Birimler","list":{"type":"unordered","items":["Uzunluk fiziksel sistemin boyutunu tanımlamak ve uzaydaki noktanın yerini belirlemek için kullanılır.","Zaman, bir olayın tanımlanmasında önemli olup, Einstein'ın teorisinde dördüncü boyut olarak görülür.","Kütle, bir cismin diğerine etkisi olarak maddenin bir özelliğini tanımlar ve gravitasyon etkisidir."]},"beginTime":5536,"endTime":5623,"href":"/video/preview/10051517165475290744?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=5536&ask_summarization=1"},{"index":38,"title":"SI Sisteminde Katsayılar","list":{"type":"unordered","items":["SI sisteminde üst teller (exponential form) kullanılır: g (10⁹), M (10⁶), k (10³), m (10⁻³), μ (10⁻⁶), n (10⁻⁹).","İmperial sistemde inç, pound, foot, yard gibi birimler kullanılır.","981 N kuvvet 2,20 pound force'a, 1 pound force ise 4,45 N'e denk 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momentlerin toplamı olarak hesaplanır."]},"beginTime":338,"endTime":426,"href":"/video/preview/7647802235464382930?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=338&ask_summarization=1"},{"index":4,"title":"Moment Örneği","list":{"type":"unordered","items":["Bir silindir üzerinde dış yarıçapı r₁ olan ip üzerinde sağa yönelmiş F₁ kuvveti ve iç yarıçapı r₂ olan ip üzerinde aşağı yönelmiş F₂ kuvveti uygulanmaktadır.","O noktasından geçen z eksenine göre silindire etki eden moment, F₁ ve F₂ kuvvetlerinin momentlerinin toplamıdır.","F₁ kuvvetinin momenti F₁×r₁, F₂ kuvvetinin momenti ise -F₂×r₂ olarak hesaplanır ve net moment bu iki değerin toplamıdır."]},"beginTime":426,"endTime":817,"href":"/video/preview/7647802235464382930?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=426&ask_summarization=1"},{"index":5,"title":"Momentin Sıfırlık Durumu","list":{"type":"unordered","items":["Bir F kuvveti kendi uygulama noktasına göre moment sıfırdır.","Kuvvetin uygulama noktasına göre dik uzaklık olmadığı durumlarda moment sıfırdır.","Kuvvetin uygulama noktasından geçen bir eksen etrafında dönme etkisi yaratmaz."]},"beginTime":817,"endTime":897,"href":"/video/preview/7647802235464382930?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=817&ask_summarization=1"},{"index":6,"title":"Kuvvetlerin Döndürme Etkisi","list":{"type":"unordered","items":["Uygulama noktasına gelen kuvvet bir döndürme etkisi yaratmaz, uygulama noktasına ne kadar uzaklaşılırsa o kadar kolay bir vidayı veya kapı kolunu çevirebiliriz.","Uygulama noktası direkt olarak geliyorsa kuvvetin döndürme etkisi yoktur, sıfırdır.","Farklı açılarda gelen kuvvetler için, kuvvetlerin bileşenleri hesaplanır ve sadece dik uzaklığı olan bileşenler döndürme etkisi yaratır."]},"beginTime":908,"endTime":1213,"href":"/video/preview/7647802235464382930?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=908&ask_summarization=1"},{"index":7,"title":"Kuvvet Çiftleri","list":{"type":"unordered","items":["Paralel ve zıt yönlü, büyüklükleri birbirine eşit iki kuvvet kuvvet çifti olarak adlandırılır ve cisime dönme hareketi verebilir.","Kuvvet çiftlerinin her noktaya göre momenti, kuvvetlerden biriyle kuvvetin uygulama noktasına olan uzaklığın çarpımına eşittir.","Kuvvet çiftlerinin denge noktası yoktur ve genellikle saat yönündeki moment negatif, saatin tersi yönündeki moment pozitif olarak alınır."]},"beginTime":1213,"endTime":1253,"href":"/video/preview/7647802235464382930?parent-reqid=1769438797094722-6582323961451179579-balancer-l7leveler-kubr-yp-klg-38-BAL&text=Statik&t=1213&ask_summarization=1"},{"index":8,"title":"Çubuk Üzerindeki Kuvvetlerin Momenti","list":{"type":"unordered","items":["Ağırlığı 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