A mass m = 6.6 kg hangs on the end of a massless rope L = 2.04 m long. The pendulum is held horizontal and released from rest. Now a peg is placed 4/5 of the way down the pendulum’s path so that when the mass falls to its vertical position it hits and wraps around the peg. As it wraps around the peg and attains its maximum height it ends a distance of 3/5 L below its starting point (or 2/5 L from its lowest point).
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).
A mass m = 6.6 kg hangs on the end of a massless rope L = 2.04 m long. The pendulum is held horizontal and released from rest.
1. How fast is the mass moving at the top of its new path (directly above the peg)?
2) Using the original mass of m = 6.6 kg, what is the magnitude of the tension in the string at the top of the new path (directly above the peg)?
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