Question

A solid ball and a cylinder roll down an inclined plane. Which reaches the bottom first?
Select one:
O a. The ball reaches the bottom first.
b. The cylinder reaches the bottom first.
O a. They arrive at the bottom at the same time.
d. It depends on the relative masses of the two.​

Answer 1

Answer:

The rotational mass of the solid disk or cylinder -- with its mass distributed throughout the cylinder or disk -- is I = (1/2) m r2. That is, the cylinder has a smaller rotational mass. That means it -- the cylinder -- will win; it will roll down the inclined plane faster and reach the bottom first.

Explanation:

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Answer 2

The solid ball reaches the bottom first.

Acceleration of the body (pure) rolling  on the inclined plane,

$a=\frac{gsin\theta}{1+\frac{1}{mR^2}}$

Now as $I_s_o_l_i_d_b_a_l_l < I_s_o_l_i_d_c_y_l_i_n_d_e_r$   for same mass and radius

∴$a_s_o_l_i_d_b_a_l_l > a_s_o_l_i_d_c_y_l_i_n_d_e_r$

Therefore, the ball reaches the bottom first through the inclined plane.

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