If a hollow sphere rolls down an incline, how does its acceleration compare to t

₹0.0

Question: If a hollow sphere rolls down an incline, how does its acceleration compare to that of a solid sphere?

Options:

Correct Answer: Less

Solution:

The hollow sphere has a greater moment of inertia, resulting in less acceleration compared to the solid sphere.

If a hollow sphere rolls down an incline, how does its acceleration compare to that of a solid sphere?

If a hollow sphere rolls down an incline, how does its acceleration compare to that of a solid sphere?

Step 1: Understand what a hollow sphere and a solid sphere are. A hollow sphere is empty inside, while a solid sphere is filled with material.
Step 2: Learn about moment of inertia. Moment of inertia is a measure of how difficult it is to change the rotation of an object. A hollow sphere has a greater moment of inertia than a solid sphere.
Step 3: Know that when objects roll down an incline, their acceleration depends on their moment of inertia. The greater the moment of inertia, the less the acceleration.
Step 4: Compare the two spheres. Since the hollow sphere has a greater moment of inertia, it will accelerate less than the solid sphere when both roll down the incline.

Moment of Inertia – The moment of inertia is a measure of an object's resistance to changes in its rotation. A hollow sphere has a greater moment of inertia than a solid sphere, affecting its acceleration when rolling.
Rolling Motion – Rolling motion involves both translational and rotational motion. The distribution of mass affects how quickly an object accelerates down an incline.
Acceleration on an Incline – The acceleration of an object rolling down an incline is influenced by its moment of inertia and the gravitational force acting on it.