R Consider the above figure. The weight has a mass m = 4.7 kg, and its attached to a ligth cord wound around a pulley. The pulley consists of a hoop of wiht radius R = 8 cm and mass M = 1.6 kg. The mass of the spokes is negligible.. (a) What is the magnitude of the net torque on the system about the axle of the pulley? (b) When the counterweight has a speed v, Determine the magnitude of the total angular momentum of the system about the axle of the pulley. (c) Using your result from part (b) and the defintion of torque, T=dL/dt, calculate the acceleration of the counterweight.
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).
Trending now
This is a popular solution!
Step by step
Solved in 2 steps