The following questions refer to two people each with mass m that are sitting on the outside edge of a massless and frictionless merry-go-round with radius R that is spinning with an initial angular velocity wo. 1. (Objective 29) One of the two people now pulls themselves halfway in to the center of the merry-go-round so that their new radius of rotation is In terms of wo, (i.e. as a multiple of wo) how much faster is the merry-go-round now spinning? 2. (Objective 27) a) By what factor did the kinetic energy of the system change when the person pulled themselves toward the center of the merry-go-round? b) What force did the work to change that kinetic energy?
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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