Question

Suppose a solid uniform sphere of mass M and radius R rolls without slipping down an inclined plane starting from rest. The angular velocity of the sphere at the bottom of the incline depends on:________.a) the mass of the sphere.

b) the radius of the sphere.
c) both the mass and the radius of the sphere.
d) neither the mass nor the radius of the sphere.

Answer 1

b) the radius of the sphere

Step-by-step explanation:

the translational velocity depends on the height only.

(mv^2)/2 = mgh

But at the bottom the rotational speed depends on the on the radius not mass

v =rω