An object of mass m1= 4. 00 kg is connected by a light cord to an object of mass m2= 3.00 kg on a frictionless surface. The pulley rotates about a frictionless axle and has a moment of inertia of 0.500 kg • m^2 and a radius of 0.300 m. Assuming that the cord does not slip on the pulley, Draw free-body diagrams for each block and the pulley. Find the acceleration of the two masses the tensions T1 and T2.
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).
An object of mass m1= 4. 00 kg is connected by a light cord to an object of mass m2= 3.00 kg on a frictionless surface. The pulley rotates about a frictionless axle and has a moment of inertia of 0.500 kg • m^2 and a radius of 0.300 m. Assuming that the cord does not slip on the pulley,
- Draw free-body diagrams for each block and the pulley.
- Find the acceleration of the two masses
- the tensions T1 and T2.
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