A disk with a radius of r = 42 cm rotating about its central axis with a frequency of 20 Hz. Suddenly at a time to which we choose to be to = 0 s, a force is applied to the wheel such that it gives the wheel an angular acceleration of a = -2 rad/s, thereby slowing it down. (a) What is the translational speed of the disk after 30 seconds? (b) What is the time required for the disk to come to rest?
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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