[Take g =10ms-2 where applicable] Question Two Two particles P and Q have masses 7 m and Fm respectively, where F>7. The particles are connected by a light inextensible string which passes over a smooth light fixed pulley. The system is held at rest with the string taut, the hanging parts of the string vertical and with P and Q at the same height above a horizontal plane as shown. The system is released from rest. After release, P descends with acceleration 5g. (a) State how you used the information that the pulley is smooth. (b) After descending for 1.2sec, the particle A reaches the plane and brought to rest. IfB does not reach the pulley in the subsequent motion, find the greatest height reached by B above the plane.
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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