Answer to Question #152923 in Physics for Emanuel

Question #152923
what is the acceleration of sphere rolling down a plane inclined at an angle 30° to horizontal?
1
Expert's answer
2020-12-28T12:56:04-0500

ma=mgsinαFfma=mg\sin\alpha-F_f


Iϵ=rFf(2/5)mr2a/r=rFfFf=(2/5)maI\epsilon=r\cdot F_f\to (2/5)mr^2a/r=rF_f\to F_f=(2/5)ma


ma=mgsinα(2/5)mama=mg\sin\alpha-(2/5)ma \to


a=(5/7)gsinα=(5/7)9.8sin30°=3.5(m/s2)a=(5/7)g\sin\alpha=(5/7)\cdot9.8\cdot\sin30°=3.5(m/s^2)


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