A particle of mass m is moving with constant velocity v on a circle of radius r. Let the particle start its motion from any point A on the circle at t = 0. a) What is the angular momentum of the particle about point A at any time t? b) What is the force acting on the particle at any time t and torque with respect to point A? c) Show that the angular momentum theorem τ = ?L/dT is also valid here. L is the angular momentum and is the torque expression.
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 particle of mass m is moving with constant velocity v on a circle of radius r. Let the particle start
its motion from any point A on the circle at t = 0.
a) What is the
b) What is the force acting on the particle at any time t and torque with respect to point A?
c) Show that the angular momentum theorem τ = ?L/dT is also valid here. L is the angular
momentum and is the torque expression.
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