A solid sphere of mass M = 10.0 kg and radius r = 0.10 m with uniform density rolls on a horizontal surface as shown in Fig. 4. The sphere's the center of mass (CM) is moving initially at v = 17.8 m/s. Assume that there are no losses of energy due to friction. Eventually the sphere reaches the highest point of height h on the slope. What is the value of h in m? Keep three significant figures for the answer. The moment of inertia of a sphere of radius r and mass M is (2/5)Mr2.g = 9.80 m/s.

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Rigid Body

A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.

Rigid Body Dynamics

Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).