Question 186: Centre of Mass and Rotational Motion

Question

Consider a situation in which a ring, a solid cylinder and a solid sphere roll down on the same inclined plane without slipping. Assume that they start rolling from rest and having identical diameter.The correct statement for this situation is

Accepted Answer

$${{{K_T}} \over {{K_R}}} = {{M{R^2}} \over {{I_{CM}}}}$$
I
CM
is maximum for ring.
$$\Rightarrow$$ v is least for ring.

Answer

All of them will have same velocity.

Answer

The ring has greatest and the cylinder has the least velocity of the centre of mass at the bottom of the inclined plane.

Answer

The sphere has the greatest and the ring has the least velocity of the centre of mass at the bottom of the inclined plane.

Answer

The cylinder has the greatest and the sphere has the least velocity of the centre of mass at the bottom of the inclined plane.

Centre of Mass and Rotational Motion

Consider a situation in which a ring, a solid cylinder and a solid sphere roll down on the same inclined plane without slipping. Assume that they start rolling from rest and having identical diameter.The correct statement for this situation is

Choose the correct answer: