FRQ #2 A kitty is hanging from a string attached to a thin hoop of mass M and radius R = 1/2, with two rods, each with mass M, glued in the center to form a rigid assembly, as shown. The centers of the rods and the hoop coincide at point P. The assembly is mounted on a horizontal axle through point P and perpendicular to the page. Express all algebraic answers in terms of M, g, and l. a. What is the rotational inertia of the rod-hoop assembly about the axle. MVY R = M

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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).