In the figure, wheel A of radius ra is coupled by belt B to wheel C of radius rc. The angular speed of wheel A is increased from rest at a constant rate a. Find the time needed for wheel to reach angular speed w assuming the belt does not slip. (Hint: If the belt does not slip, the linear speeds at the two rims must be equal.) State your answer in terms of the given variables.
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).
![Chapter 10, Problem 028 SN
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In the figure, wheel A of radius ra is coupled by belt B to wheel C of radius rc. The angular speed of wheel A is increased from rest at a constant rate a. Find the time needed for wheel C
to reach angular speed w assuming the belt does not slip. (Hint: If the belt does not slip, the linear speeds at the two rims must be equal.) State your answer in terms of the given
variables.
W.
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