Problem A) A rod of mass M and length { moves across a frictionless surface with a speed v. It hits a stationary blob of mass m on one end of the board and sticks, causing the rod and blob to rotate as the systems continues traveling across the frictionless surface. (a) What is the new center of mass with respect to the original center of mass? (b) What is the angular velocity in terms of the center of mass (i.e., leave the center of mass as a variable, æem)? Below shows a bird's eye view.
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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