A thin circular disk of radius R and mass m rotates about the x-axis which passes through the center mass of the disk. The disk is skewed on the shaft so that the normal to the disk makes an angle a wit the axis of rotation. The disk also rotates at angular velocity w around the x-axis. Compare the kinetic energy of the skewed disk compared to that of a non-skewed disk. Try to explain, in your own words, this result? (Do all the computations in 2 dimensions)
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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