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ÖSYM benzeri sorular ve günlük hayat örnekleri ile bu konunun ilk kısmını...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2393947/479bda357665ffc4ec8a62b7248d7d3c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/SIRjPgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=videoid:9577205322737825073","teaser":[{"list":{"type":"unordered","items":["Bu video, bir öğretmenin öğrencilere fizik dersi anlattığı eğitim içeriğidir. Öğretmen, fizik konularını detaylı şekilde açıklamaktadır.","Video, maddenin ortak özellikleri, kütle ve hacim kavramlarını kapsamlı şekilde ele almaktadır. İlk bölümde maddenin atomlardan oluşumu ve tarihsel süreçte maddeye dair düşünceler anlatılırken, devamında kütle kavramı, kütle birimleri ve dönüşümleri açıklanmaktadır. Son bölümde ise hacim kavramı, hacim birimleri, geometrik cisimlerin hacim hesaplamaları ve sıvıların hacminin ölçülmesi pratik örneklerle gösterilmektedir.","Video, eşit kollu terazi ve baskül arasındaki farkları, kütle ve ağırlık arasındaki farkları, geometrik cisimlerin hacim formüllerini ve şekli düzgün olmayan cisimlerin hacimlerinin nasıl ölçüleceğini içermektedir. Ayrıca, misketin yarıçapını bulma problemi, taşma düzeyine kadar olan hacim problemi ve gazların hacmi konuları da örneklerle açıklanmaktadır."]},"endTime":2200,"title":"Fizikinito Kampı: Maddenin Ortak Özellikleri, Kütle ve Hacim","beginTime":0}],"fullResult":[{"index":0,"title":"Maddelerin Ortak Özellikleri","list":{"type":"unordered","items":["Maddelerin temel yapı taşları atomlardır ve atomlar birleşerek molekülleri, moleküller bir araya gelerek de maddeyi oluştururlar.","Maddelerin ortak özellikleri kütle, hacim, tanecikli yapı ve eylemsizliktir.","Maddeler eylemsizdir, yani dışarıdan kuvvet etkisi olmadan hareket durumunu değiştirmek istemezler."]},"beginTime":32,"endTime":129,"href":"/video/preview/9577205322737825073?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=32&ask_summarization=1"},{"index":1,"title":"Maddelerin Tarihsel Gelişimi","list":{"type":"unordered","items":["İlk filozof Thales, maddelerin en temelinde ne olduğunu sorgularken, Demokritos (MÖ 400'ler) maddelerin en temelinde bölünemez parçacıklar (atomlar) olduğunu öne sürdü.","Arşimet (MÖ 300'ler) maddelerin sıvı içindeki denge durumlarını analiz etti ve neden bir cisim yüzüyor, neden bir cisim batıyor sorusunu sordu.","El Hazine (MS 700'ler) maddenin özelliklerini inceledi, sıvı maddelerin yoğunluğunu hesaplama metodunu geliştirdi ve hikmet terazisi adlı beş kefeli teraziyi kullandı."]},"beginTime":129,"endTime":261,"href":"/video/preview/9577205322737825073?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=129&ask_summarization=1"},{"index":2,"title":"Kütle Kavramı","list":{"type":"unordered","items":["Kütle, parçacık ya da nesneyi oluşturan madde miktarının bir ölçüsüdür ve değişmeyen madde miktarı olarak adlandırılır.","Kütle mekana göre değişmez, örneğin bir astronotun dünyadaki ve aydaki kütlesi aynıdır.","Sıvıların kütlesini ölçmek için önce boş kabın kütlesi (darı) ölçülür, sonra sıvı eklenip toplam kütle (brüt kütle) ölçülür ve brüt kütleden darı çıkarılarak sıvının kütlesi bulunur."]},"beginTime":261,"endTime":366,"href":"/video/preview/9577205322737825073?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=261&ask_summarization=1"},{"index":3,"title":"Kütle Birimleri ve Dönüşümleri","list":{"type":"unordered","items":["Kütle \"m\" sembolü ile gösterilir ve birimi kilogramdır.","Kütle birimleri arasında dönüşümler yapılır: 1 ton = 10³ kg, 1 kg = 10³ g, 1 g = 10³ mg.","Kütle birimleri arasında dönüşüm yaparken, birimlerin arasındaki basamak sayısına göre çarpma veya bölme işlemi yapılır."]},"beginTime":366,"endTime":506,"href":"/video/preview/9577205322737825073?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=366&ask_summarization=1"},{"index":4,"title":"Asansör Deneyi ve Kütleyi Ölçme","list":{"type":"unordered","items":["Asansör deneyinde eşit kollu terazi denge durumunu korurken, tartıdaki değer asansörün hareketiyle değişir.","Eşit kollu terazi, kütleleri değiştirmediğiniz sürece nerede olursa olsun dengesini bozmayacaktır.","Tartı gibi ağırlığı ölçen cihazlar, yerçekimi ivmesi değiştiğinde gösterilen değeri etkilenir."]},"beginTime":510,"endTime":628,"href":"/video/preview/9577205322737825073?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=510&ask_summarization=1"},{"index":5,"title":"Kütleyi Ölçme Aletleri ve Uzayda Ölçüm","list":{"type":"unordered","items":["Kütle ölçümü yapan aletler yerçekimi kuvvetini kullanır, ancak ölçtükleri nicelik kütledir, ağırlık değildir.","Eşit kollu terazi yerçekiminin olmadığı bir yerde çalışmaz, bu nedenle uzayda alternatif yöntemler kullanılır.","Uzayda kütleyi ölçmek için salınımdan yararlanan sistemler kullanılır, bu konu 12. sınıfta basit harmonik hareket konusunda ele alınacaktır."]},"beginTime":628,"endTime":702,"href":"/video/preview/9577205322737825073?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=628&ask_summarization=1"},{"index":6,"title":"Kütle ile İlgili Örnek Soru","list":{"type":"unordered","items":["Kütle, fizikteki temel büyüklüklerden biridir ve Sİ'deki birimi kilogramdır.","Ay'daki çekim kuvveti dünyadakinden küçük olduğu için, ay'a giden bir astronotun kütlesi değişmez, sadece ağırlığı azalır.","Kütle, madde miktarının bir ölçüsüdür ve maddeyi değiştirmediğiniz sürece kütleniz değişmez."]},"beginTime":702,"endTime":856,"href":"/video/preview/9577205322737825073?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=702&ask_summarization=1"},{"index":7,"title":"Hacim Kavramı","list":{"type":"unordered","items":["Hacim, maddenin uzayda kapladığı yerdir ve maddenin temel özelliklerinden biridir.","Hacim, uzunluktan türemiş skaler bir büyüklüktür ve Sİ'deki birimi metreküptür.","Katıların belirli bir şekli ve hacmi vardır, sıvıların belirli bir hacmi vardır fakat şekilleri yoktur, gazlar ise ne belirli bir hacmi ne de şekli vardır."]},"beginTime":856,"endTime":932,"href":"/video/preview/9577205322737825073?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=856&ask_summarization=1"},{"index":8,"title":"Hacim Dönüşümleri","list":{"type":"unordered","items":["Hacim birimleri arasında dönüşüm yaparken, her bir adımda bin ile çarpma veya bölme yapılır.","Bir metreküp 1000 desimetreküptür, bir desimetreküp 1000 santimetreküptür.","Sıvı hacim birimi olarak günlük hayatta litre kullanılır, 1 litre 1 desimetreküpe eşittir ve 1000 santimetreküp veya 1000 mililitre eder."]},"beginTime":932,"endTime":1123,"href":"/video/preview/9577205322737825073?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=932&ask_summarization=1"},{"index":9,"title":"Düzgün Geometrik Şekillerin Hacim Bağıntıları","list":{"type":"unordered","items":["Düzgün geometrik şekillerin hacim bağıntıları ölçülebilir ve fizik bir ölçüme dayalı bilimdir.","Dikdörtgen prizma için hacim a×b×c, küp için a³, silindir için πr²h, küre için 4/3πr³ formülleriyle hesaplanır.","Hacim, taban alanı çarpı yükseklik olarak da ifade edilebilir, ancak bu sadece dikdörtgenler prizması, kare, silindir gibi yere paralel kesit alanları sabit olan geometrik cisimlerde geçerlidir."]},"beginTime":1125,"endTime":1212,"href":"/video/preview/9577205322737825073?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=1125&ask_summarization=1"},{"index":10,"title":"Hacim Problemi Çözümü","list":{"type":"unordered","items":["Bir örnek problemde, yüksekliği 18 cm, yarıçapı 2 cm olan silindirik kutulardaki oyun hamurlarının, tabanı 6 cm kenar uzunluğuna sahip kare prizma biçimli kutularda satılsaydı yüksekliklerinin kaç santimetre olacağını hesaplıyoruz.","Silindirin hacmi πr²h formülüyle 3×4×18=216 cm³ olarak hesaplanır.","Kare prizmanın hacmi 6×6×h formülüyle hesaplanır ve silindirin hacmine eşit olduğundan, yükseklik 6 cm olarak bulunur."]},"beginTime":1212,"endTime":1330,"href":"/video/preview/9577205322737825073?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=1212&ask_summarization=1"},{"index":11,"title":"Sıvıların Hacmi","list":{"type":"unordered","items":["Sıvıların belli bir şekli yoktur, bulundukları kaba, bulundukları miktarca o kabın şeklini alırlar.","Sıvının hacmi kabın şekline bağlı değildir, sadece kabın şekline göre belirlemesini yaparız.","Kabın şekli değiştiğinde, aynı hacimdeki sıvının yüksekliği değişir; daha geniş bir kaba konulduğunda yükseklik azalır."]},"beginTime":1330,"endTime":1434,"href":"/video/preview/9577205322737825073?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=1330&ask_summarization=1"},{"index":12,"title":"Düzgün Geometrik Şekli Olmayan Cisimlerin Hacmi","list":{"type":"unordered","items":["Düzgün geometrik şekli olmayan cisimlerin hacmini ölçmek için dereceli kap veya taşırma kapı kullanılır.","Cisim sıvıya tamamen batarsa, yeri değiştirilen sıvının hacmi tespit edilerek cismin hacmi bulunur.","Taşırma kapı kullanıldığında, taşırma seviyesine kadar dolu kaba bırakılan cisim, hacmine eşit hacimde su taşırır."]},"beginTime":1434,"endTime":1705,"href":"/video/preview/9577205322737825073?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=1434&ask_summarization=1"},{"index":13,"title":"Çözünen Sıvıların Hacmi","list":{"type":"unordered","items":["Birbirleri içerisinde çözünen sıvılar karıştırıldığında, iki sıvının hacimleri toplamı karışımın hacminden küçük olur.","Çözülen sıvıların moleküler boşlukları birbirlerini doldurur, bu nedenle toplam hacim azalır."]},"beginTime":1705,"endTime":1733,"href":"/video/preview/9577205322737825073?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=1705&ask_summarization=1"},{"index":14,"title":"Misketin Yarıçapını Bulma Örneği","list":{"type":"unordered","items":["Aylin, camdan yapılmış misketin yarıçapını öğrenmek için, taban yarıçapı 4 cm olan silindirik kaptaki suya misketi atıyor.","Misketin hacmi, sıvının yükselme miktarından (3/1 santim) hesaplanıyor ve 32 santimetreküp olarak bulunuyor.","Misketin hacmi (32 santimetreküp) ile kürenin hacim formülü kullanılarak misketin yarıçapı 2 santimetre olarak 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Sorular, farklı şekillerden oluşan metal levhaların ağırlık merkezlerinin bulunması, parça çıkarılıp eklenme durumlarında ağırlık merkezinin nasıl değiştiği, gerilme kuvvetlerinin hesaplanması ve cisimlerin dengede kalması gibi konuları kapsamaktadır. Her soru için eğitmen, adım adım çözüm yöntemini göstermekte, tork hesaplamaları ve geometrik formüller kullanarak sonuçlar elde etmektedir.","Videoda ayrıca homojen levhalardan parça çıkarılıp yapıştırma durumlarında kütle merkezinin nasıl kaydığı, özkütle oranlarını bulma formülleri ve farklı yarıçaplı levhaların birleştirilmesi gibi konular da ele alınmaktadır. Sorular genellikle kare ve dairesel levhalar, sıvılar ve destek sistemleri gibi fiziksel cisimlerin ağırlık merkezleri ve denge durumları üzerine odaklanmaktadır."]},"endTime":1955,"title":"Fizik Dersi: Kütle ve Ağırlık Merkezi Soru Çözümleri","beginTime":0}],"fullResult":[{"index":0,"title":"Kütle ve Ağırlık Merkezi Soru Çözümleri","list":{"type":"unordered","items":["Kütle ve ağırlık merkezinin orta ve zor düzey soru çözümleri sunuluyor.","İlk soruda kare, üçgen ve dairesel levhaların ağırlık merkezleri hesaplanarak sistemin ağırlık merkezi bulunuyor.","Kare levhanın ağırlığı 4g, üçgen ve dairesel levhaların ağırlığı 3g olarak hesaplanıyor."]},"beginTime":18,"endTime":152,"href":"/video/preview/16577784347504028337?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=18&ask_summarization=1"},{"index":1,"title":"Levhaların Dengesi ve Gerilme Kuvvetleri","list":{"type":"unordered","items":["İkinci soruda O1 ve O2 noktalarından geçen, sürtünmesiz miller çevresinde serbestçe dönebilen, eşit karelere bölünmüş X ve Y metal levhaları dengelidir.","Levhaların ağırlık merkezleri hesaplanarak O1 noktasına göre tork alınarak T1 gerilme kuvveti 3g/2 olarak bulunuyor.","O2 noktasına göre tork alınarak T2 gerilme kuvveti 2g olarak bulunuyor ve T1/T2 oranı 3/4 olarak hesaplanıyor."]},"beginTime":152,"endTime":271,"href":"/video/preview/16577784347504028337?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=152&ask_summarization=1"},{"index":2,"title":"Küre ve Silindirin Dengesi","list":{"type":"unordered","items":["Üçüncü soruda özkütleleri oranı 3/2 olan kendi içlerinde türdeş küre ile silindir yapıştırılıp tavana asıldığında düşey düzlemde dengede kalıyor.","Silindirin hacmi 3r²h, kürenin hacmi 4/3πr³ olarak hesaplanıyor.","Tork alınarak h/r oranı 4/3 olarak bulunuyor."]},"beginTime":271,"endTime":458,"href":"/video/preview/16577784347504028337?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=271&ask_summarization=1"},{"index":3,"title":"Dairesel Levhanın Ağırlık Merkezi","list":{"type":"unordered","items":["Dördüncü soruda merkezi O, yarıçapı 5 santimetre olan düzgün ve türdeş dairesel levhadan taralı kısım kesilip çıkarılarak levhaya ekleniyor.","Çıkarılan ve eklenen parçaların açıları 36 derece olduğu için ağırlıkları hesaplanıyor.","Yeni şeklin ağırlık merkezinin O noktasına uzaklığı 1 santimetre olarak bulunuyor."]},"beginTime":458,"endTime":585,"href":"/video/preview/16577784347504028337?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=458&ask_summarization=1"},{"index":4,"title":"İplerdeki Gerilme Kuvvetleri","list":{"type":"unordered","items":["Beşinci soruda sekiz özdeş parçadan oluşan düzgün türdeş levha S1 ve S2 ipleri ile tavana asılmıştır.","Çıkarılan parçaların ağırlık merkezi tam ortadaysa iplerdeki gerilme kuvveti eşit olarak azalacaktır.","Çıkarılan parçaların ağırlık merkezi S1'e yakınsa S1'deki gerilme kuvveti daha fazla azalacaktır."]},"beginTime":585,"endTime":650,"href":"/video/preview/16577784347504028337?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=585&ask_summarization=1"},{"index":5,"title":"Ağırlık Merkezi Problemi","list":{"type":"unordered","items":["İki ve yedi numaralı parçaların çıkarıldığında, iki numaralı parçanın ağırlık merkezi köşeye, yedi numaralı parçanın ağırlık merkezi kenara daha yakın olacaktır.","Yedi numaralı parçanın ağırlık merkezinin orta noktaya olan uzaklığı daha fazla olduğu için sol tarafa doğru kaymış olacak ve S1'deki gerilme daha çok azalmış olacak.","Üç ve dört numaralı parçaların çıkarıldığında, sağ tarafta azalma daha fazla olacaktır ve S2 ipindeki gerilme daha çok azalacaktır."]},"beginTime":653,"endTime":716,"href":"/video/preview/16577784347504028337?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=653&ask_summarization=1"},{"index":6,"title":"Kütle Merkezi Hesaplama","list":{"type":"unordered","items":["Kenar uzunluğu 4a olan homojen levhadan kenar uzunluğu 2a, kütle merkezi O2 olan parça kesilip yapıştırıldığında kütle merkezinin kaç a kaydığı hesaplanıyor.","Çıkarılan parçanın ağırlığı 4g, eklenen parçanın ağırlığı da 4g olduğu için toplam ağırlık 16g kalıyor ve kütle merkezi 1a kadar kayıyor.","Parça çıkarılıp eklenme sorularında kullanılan formül: (Çıkarılan parçanın ağırlığı / Tüm ağırlık) × (Çıkarılan parçanın ağırlık merkezi ile eklenen parçanın ağırlık merkezi arasındaki mesafe)."]},"beginTime":716,"endTime":884,"href":"/video/preview/16577784347504028337?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=716&ask_summarization=1"},{"index":7,"title":"Silindir ve Küre Dengesi","list":{"type":"unordered","items":["D1 ve D2 özkütleli silindir ve küre şeklindeki homojen cisimler K noktasından tavana bir iple asıldığında dengede kalmaktadır.","Silindirin hacmi πr²h/3 formülüyle 12πr³, kürenin hacmi 4/3πr³ olarak hesaplanıyor.","Cisimlerin özkütlelerinin oranı D1/D2 = 1/6 olarak bulunuyor."]},"beginTime":884,"endTime":1030,"href":"/video/preview/16577784347504028337?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=884&ask_summarization=1"},{"index":8,"title":"Dengede Kalan Levha Şekilleri","list":{"type":"unordered","items":["Dört eşit bölmeye ayrılmış türdeş kare levhanın K parçası çıkarılarak sırasıyla N, L ve M parçalarının üzerine ekleniyor.","Levha Şekil 1 ve Şekil 3'te dengede kalır çünkü ağırlık merkezleri düşey eksen üzerinde yer alır.","Şekil 2'de ise düşeyde dengede kalır ancak yatayda sağ tarafta boşluk olduğu için sola doğru dönmek isteyecektir."]},"beginTime":1033,"endTime":1124,"href":"/video/preview/16577784347504028337?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=1033&ask_summarization=1"},{"index":9,"title":"Sıvı Seviyesi ve Kap Devri","list":{"type":"unordered","items":["Ağırlığı önemsiz eşit hacim bölmelerden oluşan kapta iki h yüksekliğine kadar d özkütleli X sıvısı vardır.","Sabit debili ka musluğundan iç sıvısı ile karışmayan 2d özkütleli sıvı akmaktadır.","Sıvı seviyesi K noktasını geçtiği an kap devrilir çünkü ağırlık merkezi sağ tarafa doğru kaymış olacak."]},"beginTime":1124,"endTime":1257,"href":"/video/preview/16577784347504028337?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=1124&ask_summarization=1"},{"index":10,"title":"Levhanın Ağırlık Merkezi Değişimi","list":{"type":"unordered","items":["Kenar uzunluğu 16√2 cm olan türdeş kare levhadan 8√2 santimetre çaplı dairesel parça çıkarılıp atılıyor.","Çıkarılan parçanın ağırlığı 96g, tüm karenin ağırlığı 512g'dir.","Levhanın ağırlık merkezi 24/13 santimetre yer değiştirir."]},"beginTime":1257,"endTime":1414,"href":"/video/preview/16577784347504028337?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=1257&ask_summarization=1"},{"index":11,"title":"Kap Doldurulurken Desteklerin Tepki Kuvvetleri","list":{"type":"unordered","items":["Ağırlığı önemsenmeyen eşit bölmeli kap iki destek üzerine yerleştiriliyor ve su ile doldurulurken X ve Y desteklerinin tepki kuvvetleri zamanda nasıl değişir.","Başlangıçta sıvının ağırlık merkezi ortada olduğu için desteklerin tepki kuvvetleri eşit artacaktır.","Daha sonra sıvı sola doğru kayacağından X noktasına daha fazla yük binecektir, Y'den ise ağırlık giderek azalmaya başlayacaktır."]},"beginTime":1414,"endTime":1514,"href":"/video/preview/16577784347504028337?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=1414&ask_summarization=1"},{"index":12,"title":"Çeyrek Dairelerin Ağırlık Merkezi","list":{"type":"unordered","items":["Şekildeki K ve L çeyrek daireleri birleştirildiğinde ortak kütle merkezleri O noktası oluyor.","K levhasının alanı 4πr², L levhasının alanı 9πr²'dir.","Levhaların yapıldıkları maddelerin özkütleleri oranı DK/DL = 27/8'dir."]},"beginTime":1514,"endTime":1653,"href":"/video/preview/16577784347504028337?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=1514&ask_summarization=1"},{"index":13,"title":"Levhanın Kesilip Yapıştırılması","list":{"type":"unordered","items":["Yarıçapı 4r olan O merkezli bir levhanın tam ortasından 2r yarıçaplı bir bölümü kesilerek yanına yapıştırılıyor.","Daha sonra çıkartılan parçanın yine tam ortasından r yarıçaplı bir bölümü kesilerek yapıştırılıyor.","Oluşturulan yeni sistemin ağırlık merkezi O noktasından karşıya uzaklıkta olur."]},"beginTime":1653,"endTime":1681,"href":"/video/preview/16577784347504028337?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=1653&ask_summarization=1"},{"index":14,"title":"Ağırlık Merkezi Hesaplama","list":{"type":"unordered","items":["İlk soruda dört r yarıçaplı bir levha 16G ağırlığına sahipken, ortadaki iki r yarıçaplı levha çıkarıldığında 12G, daha sonra kalan dört r yarıçaplı levhanın ortasından pi-r kare kadarlık kısmı çıkarıldığında 3G ağırlık kalmıştır.","Tork hesabı yaparak, ağırlık merkezinin O noktasına uzaklığı 27/16 birim olarak bulunmuştur."]},"beginTime":1687,"endTime":1820,"href":"/video/preview/16577784347504028337?parent-reqid=1765287324234935-580335215966197847-balancer-l7leveler-kubr-yp-sas-56-BAL&text=RMR+-+Topic&t=1687&ask_summarization=1"},{"index":15,"title":"Kare ve Üçgen Levha Sorusu","list":{"type":"unordered","items":["Eşit bölmelere ayrılmış düzlemde homojen üçgen ve kare levhalar birleştirilmiş, kare levhanın içinden dairesel bir levha çıkartıldığında oluşan yeni şeklin ağırlık merkezinin O'ya uzaklığı sorulmuştur.","Kare levhanın alanı 16G, dairesel levhanın alanı 3G olduğundan, çıkarılan parça 6G ağırlığına sahiptir ve kalan dairesel levha 10G olmuştur.","Tork hesabı yaparak, ağırlık merkezinin O noktasına uzaklığı 9D/16 birim olarak 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Öğretmen, fizik bilimine girişten sonraki ilk konu olan \"Madde ve Özellikleri\"ni ele almaktadır.","Video, maddenin tanımı ve ortak özelliklerini detaylı şekilde incelemektedir. Öncelikle maddenin kütlesi, hacim, eylemsizlik ve tanecikli yapı gibi dört ortak özelliği açıklanmakta, ardından kütlenin eşit kollu terazi ile ölçülmesi anlatılmaktadır. Daha sonra hacim kavramı, katı, sıvı ve gaz maddelerin hacim özellikleri ve düzgün geometrik cisimlerin hacim hesaplamaları örneklerle gösterilmektedir. Video, eylemsizlik ve tanecikli yapı kavramlarının kısa açıklamalarıyla sonlanmaktadır."]},"endTime":651,"title":"9. 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