A small object of uniform density rolls up a curved surface with an initial velocity . It reaches up to a maximum height of with respect to the initial position. The object is a
Step1: Given data
Step2: Conservation of energy
Step4: Finding the moment of inertia
We know from the conservation of kinetic energy, that the sum of kinetic and potential energy is conserved at and .
Therefore, the moment of inertia of the body is , this is the moment of inertia of a disc about an axis passing through the center perpendicular to the plane. So, the object is disc.