A disc of radius of 10cm rotates from rest with a constant angular acceleration. If it requires 2s for it to rotate through an angular displacement of 60°: (a) find the angular acceleration of the disc; (b) its angular velocity at t = 2s and at t = 6s, (c) the linear speed at t = 2s of a point that is at a distance of 7 cm from the center of the disc; (d) the distance that this point has moved during that time interval.

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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).