Question 11: A particle of mass m coming with velocity vo collides with a uniform rod of mass M and length L elastically on a horizontal table as shown in the figure below. (The rod is not pivoted and it is free to rotate about its center of mass after the collision.). The moment of inertia of the rod about its center of mass is Icm ML2. If the particle stops after the collision, find a) the velocity of the center of mass of the rod, and b) the angular velocity of the rod. M, L L/2
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).

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