1.5 m One end of a light inextensible string is attached to a particle A of mass 2kg. The other end of th string is attached to a second particle B of mass 2.5kg. Particle A is in contact with a rough plan inclined at 0 to the horizontal, where cos 0 =. The string is taut and passes over a small smoot pulley P at the top of the plane. The part of the string from A to P is parallel to a line of greate slope of the plane. Particle B hangs freely below P at a distance 1.5 m above horizontal ground, shown in the diagram. %3D The coefficient of friction between A and the plane is u. The system is released from rest and in t subsequent motion B hits the ground before A reaches P. The speed of B at the instant that it h= the ground is 1.2 ms. (a) For the motion before B hits the ground, show that the acceleration of B is 0.48 ms (b) For the motion before B hits the ground, show that the tension in the string is 23.3N. (c) Determine the value of u. After B hits the ground, A continues to travel up the plane before coming to instantaneous r before it reaches P. (d) Determine the distance that A travels from the instant that B hits the ground until A comes instantaneous rest.
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).
Instantaneous rest
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