A 1.10 kg hoop of radius 0.160 m is released from rest at point A in the figure below, its center of gravity a distance of 1.90 m above the ground. The hoop rolls without slipping to the bottom of an incline and back up to point B where it is launched vertically into the air. The hoop then rises to its maximum height h at point C. max HINT V = () C A 1.90 m hmax В T0.350 m (a) At point B, find the hoop's translational speed va (in m/s). X m/s (b) At point B, find the hoop's rotational speed @, (in rad/s). X rad/s (c) At point C, find the hoop's rotational speed @c (in rad/s). rad/s
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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