Consider the system shown below, where m1=6.2kg and m2=15kg are attached to the ends of a massless string passing through a pulley of mass M=6.9kg. The inclined plane is frictionless and makes an angle of 0=51°. The pulley is in the shape of a disk with radius R=45 cm and the moment of inertia of a disk is l=MR2/2. If the system is released from rest when m2 is at an height of h=15.3m, determine the angular speed of the pulley right before m2 hits the ground. Express your answer using SI units with one decimal place. Take g=9.8 m/s? m2 h
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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