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Video, kartezyen koordinat sistemindeki kinematik sorularının çözüm tekniklerini öğrenmek isteyenler için hazırlanmıştır."]},"endTime":1302,"title":"Uzay Eğrisel Hareket ve Kartezyen Koordinat Sistemi Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Uzayda Eğrisel Hareket ve Koordinat Sistemleri","list":{"type":"unordered","items":["Video, space curve motion (uzayda eğrisel hareket) veya üç boyutta parçacıkların kinematiğini konu alıyor.","Üç boyutta parçacıkların kinematiği üç farklı koordinat sisteminde incelenecek: kartezyen, silindirik ve küresel koordinat sistemleri.","Kartezyen koordinat sistemi en kolay olacak çünkü tek ve iki boyutlu hareket formüllerine z ekseni eklenerek üç boyuta çıkılacak."]},"beginTime":18,"endTime":98,"href":"/video/preview/13524051067839384774?parent-reqid=1773440905656542-4028848405080236268-balancer-l7leveler-kubr-yp-sas-82-BAL&text=Dynamics+-+Topic&t=18&ask_summarization=1"},{"index":1,"title":"Koordinat Sistemleri ve Kullanım Alanları","list":{"type":"unordered","items":["Silindirik koordinat sistemi, polar koordinat sisteminde z ekseninin eklenmesiyle oluşur ve r, theta eksenleri kullanılır.","Küresel koordinat sistemi, iki açı (teta ve fi) kullanarak tanımlanır ve uzunluk muzun yer değiştirme vektörünün doğrultusunda olan eksenidir.","Küresel koordinat sistemi, radar sistemlerinde ve robotik kol sistemlerinde kullanılır çünkü bu sistemlerde iki farklı açı kullanılır."]},"beginTime":98,"endTime":278,"href":"/video/preview/13524051067839384774?parent-reqid=1773440905656542-4028848405080236268-balancer-l7leveler-kubr-yp-sas-82-BAL&text=Dynamics+-+Topic&t=98&ask_summarization=1"},{"index":2,"title":"Kartezyen Koordinat Sisteminde Hareket Problemi","list":{"type":"unordered","items":["Bir atış hareketi problemi çözülüyor: başlangıç hızı 150 m/s, x-y düzlemiyle 60°, z eksenine 20° açılar verilmiş.","Hava direnci ihmal edildiği için x ve y eksenlerinde ivme sıfır, sadece z ekseninde -9,81 m/s² yerçekimi ivmesi etki ediyor.","Başlangıç hızının komponentleri hesaplanıyor: vx = 77,48 m/s, vy = 25,65 m/s, vz = 129,90 m/s."]},"beginTime":278,"endTime":514,"href":"/video/preview/13524051067839384774?parent-reqid=1773440905656542-4028848405080236268-balancer-l7leveler-kubr-yp-sas-82-BAL&text=Dynamics+-+Topic&t=278&ask_summarization=1"},{"index":3,"title":"Yer Değiştirme Hesaplamaları","list":{"type":"unordered","items":["20 saniye sonra x pozisyonu: x = 0 + 77,48 × 20 = 1496 m.","20 saniye sonra y pozisyonu: y = 0 + 25,65 × 20 = 513 m.","20 saniye sonra z pozisyonu: z = 129,90 × 20 - 0,5 × 9,81 × 20² = 636 m."]},"beginTime":514,"endTime":653,"href":"/video/preview/13524051067839384774?parent-reqid=1773440905656542-4028848405080236268-balancer-l7leveler-kubr-yp-sas-82-BAL&text=Dynamics+-+Topic&t=514&ask_summarization=1"},{"index":4,"title":"Hareket Parametreleri Hesaplama","list":{"type":"unordered","items":["Hareket formülünde son hız hesaplanırken, 20 saniye sonra hızın x bileşeni 70,48 metre/saniye olarak bulunmuştur.","Y bileşeni 25,65 olarak verilmiştir ve z bileşeni için hız değişimi hesaplanmıştır.","Z bileşeninde başlangıç hızı 129,90, ivme -9,81 metre/saniye² ve 20 saniye sonra -66,30 metre/saniye olarak hesaplanmıştır, bu da inişe geçildiğini göstermektedir."]},"beginTime":659,"endTime":783,"href":"/video/preview/13524051067839384774?parent-reqid=1773440905656542-4028848405080236268-balancer-l7leveler-kubr-yp-sas-82-BAL&text=Dynamics+-+Topic&t=659&ask_summarization=1"},{"index":5,"title":"İkinci Sorunun Analizi","list":{"type":"unordered","items":["İkinci soruda bir parçacığın hızı ve ivmesi x, y ve z koordinatlarında vektör olarak verilmiştir.","Hız ve ivme arasındaki açı hesaplanmak istenmektedir ve bu açı sorunun ilerleyen kısımlarında fayda sağlayacaktır.","Parçacık eğrisel bir hareket yapmakta olup, normal ve teğetsel koordinatlar kullanılarak çözüm yapılacaktır."]},"beginTime":783,"endTime":871,"href":"/video/preview/13524051067839384774?parent-reqid=1773440905656542-4028848405080236268-balancer-l7leveler-kubr-yp-sas-82-BAL&text=Dynamics+-+Topic&t=783&ask_summarization=1"},{"index":6,"title":"Hız ve İvme Arasındaki Açı Hesaplama","list":{"type":"unordered","items":["Hız ve ivme arasındaki açı, skaler çarpım formülü kullanılarak hesaplanmıştır: A·B = |A||B|cosθ.","Skaler çarpım hesaplanarak 21 değerine ulaşılmış, hızın büyüklüğü √45, ivmenin büyüklüğü √35 olarak bulunmuştur.","Hesaplamalar sonucunda açı 74,59 derece olarak hesaplanmıştır."]},"beginTime":871,"endTime":999,"href":"/video/preview/13524051067839384774?parent-reqid=1773440905656542-4028848405080236268-balancer-l7leveler-kubr-yp-sas-82-BAL&text=Dynamics+-+Topic&t=871&ask_summarization=1"},{"index":7,"title":"Teğetsel ve Normal İvme Hesaplama","list":{"type":"unordered","items":["Hızın birinci türevi teğetsel ivme (a_t) olarak adlandırılır.","İvmenin hız doğrultusundaki komponenti teğetsel ivme, hızın dik açılı komponenti ise normal ivmedir.","Teğetsel ivme a_t = a·cos(74,59°) = 1,57 metre/saniye² olarak hesaplanmıştır."]},"beginTime":999,"endTime":1194,"href":"/video/preview/13524051067839384774?parent-reqid=1773440905656542-4028848405080236268-balancer-l7leveler-kubr-yp-sas-82-BAL&text=Dynamics+-+Topic&t=999&ask_summarization=1"},{"index":8,"title":"Yarıçap Hesaplama ve Kapanış","list":{"type":"unordered","items":["Yarıçap (ρ) hesaplanmak için ρ = v²/a_n formülü kullanılmıştır.","Normal ivme a_n = a·sin(74,59°) = 8,59 metre olarak hesaplanmıştır.","Kafanıza takılan sorular için turkishengine@gmail.com adresinden iletişime geçilebilir ve sorular \"sizden gelenler\" şeklinde paylaşılmaktadır."]},"beginTime":1194,"endTime":1275,"href":"/video/preview/13524051067839384774?parent-reqid=1773440905656542-4028848405080236268-balancer-l7leveler-kubr-yp-sas-82-BAL&text=Dynamics+-+Topic&t=1194&ask_summarization=1"}],"linkTemplate":"/video/preview/13524051067839384774?parent-reqid=1773440905656542-4028848405080236268-balancer-l7leveler-kubr-yp-sas-82-BAL&text=Dynamics+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dynamics \"THE MOST Cruel Topic!\" Kinematics of Particles in 3D (Motion in Space) | Dynamics THE H...","related_orig_text":"Dynamics - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dynamics - 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