A small block of mass m is place on top of a hill as shown in the figure at the right, a height h above a horizontal track. The hill is frictionless, but when the block reaches the horizontal track, there is a coefficient of friction, u. The block slides along the track for a distance L and comes to a stop. For this motion air resistance can be ignored. We will take the origin of the coordinate system to be at A, with x being the horizontal coordinate with positive to the right, and y being the vertical coordinate with positive up. We will choose our system to include the block, the hill, the surface with friction, and the Earth. The parameters of the problem are those shown in the figure: m, g, u, d, 4, d2, h, and 0. Also, the block has a speed vg at point B at the bottom of the hill. A d, B D
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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