Starting from rest, a solid sphere rolls down an inclined plane of vertical height h without slipping.
a) If M is the mass and R is the radius of the sphere, write an equation for the moment of inertia of the above
sphere about a diameter.
b) Prove that the velocity with which the sphere reaches the bottom of the plane is 1.2 √gh
c) If instead of sphere another object of the same mass and radius with a different shape is used in the above
experiment, will it reach the bottom with the same or different velocity?
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