A solid sphere, a hollow sphere and a ring are released from...

A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then maximum acceleration down the plane is for (no rolling) [2002]
(A) Solid sphere
(B) Hollow sphere
(C) Ring
(D) All same

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Key Concepts

Sliding vs Rolling Motion

When objects roll, their moment of inertia influences their acceleration due to rotational energy. However, when objects slide without rolling—as on a frictionless surface—the rotational dynamics are absent. This results in all objects experiencing the same acceleration, g sin?, regardless of their moment of inertia or overall shape.

Frictionless Motion

In a frictionless environment, objects slide without any rotational motion because there is no frictional force to create a torque. This means that regardless of an object's shape or mass distribution, only translational motion needs to be considered, and the acceleration is solely governed by the component of gravity acting along the surface.

Inclined Plane Dynamics

On an inclined plane, the gravitational force acting on an object can be decomposed into two components: one perpendicular to the plane and one parallel to it. The parallel component, g sin?, is responsible for the acceleration of an object sliding down the plane, demonstrating that the angle of the incline dictates the rate of acceleration.

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