A solid ball and a cylinder roll down an inclined plane. Which reaches the bottom first? Hint: the rotational inertia of a sphere about its center is \(I = \dfrac{2}{5}mR^{2}\) and the rotational inertia of a cylinder about its center is \(I = \dfrac{1}{2}mR^{2}\).(a) The ball reaches the bottom first. , (b) The cylinder reaches the bottom first. , (c) They arrive at the bottom at the same time. , (d) It depends on the relative masses of the two. , (e) It depends on the relative diameter of the two. :

A solid ball and a cylinder roll down an inclined plane. Which reaches the bottom first? • Nerd Notes

AP Physics 1

6.5 Rolling

5.4 Rotational Inertia

Multi-Unit

BeginnerMCQConceptual23.4k

A solid ball and a cylinder roll down an inclined plane. Which reaches the bottom first? Hint: the rotational inertia of a sphere about its center is \(I = \dfrac{2}{5}mR^{2}\) and the rotational inertia of a cylinder about its center is \(I = \dfrac{1}{2}mR^{2}\).

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