A uniform circular disc of mass m = 5 kg and radius R=0.3 m may rotate about its fixed center of mass C. Starting from rest at t = 0, the disc is subjected to a constant pure couple Mo = 5 Newton-meters, as shown. At t= 0 a point A on the disc periphery is located as shown. Determine the acceleration aa of the point A when the disc has rotated through three and a half revolutions (express aa in Cartesians). M. Fixed A at t =0
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).
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
