Two masses on two slopes are connected with a massless rope through a frictionless pulley as below. Since the pulley is frictionless, the tension in the rope is the same on both sides. The 50 kg mass is on a frictionless surface. The 100 kg mass is on a surface with kinetic and static friction coefficient of 0.3. 100 kg 50 kg \ 30.0° 53.1° a. In what direction would the blocks move? Show work! b. What is the tension in the rope between the two masses? c. If the blocks moved to the left to begin with at 1 m/s, what would their speed and direction of motion be after 3 s?
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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