A 4.8kg block is resting at the top of a 30 degrees slope of height 1 m. It is attached to a cylindrical pulley of mass 1.7kg and radius 8 cm by a massless string that unwinds as the block slides downhill with friction. If the acceleration of the block is 2m/s^2, what is ? Find the velocity at the bottom of the slope using forces and torques. Repeat the solution using energy concepts.
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).
![A 4.8kg block is resting at the top of a 30 degrees slope of height 1 m. It is attached
to a cylindrical puley of mass 1.7kg and radius 8 cm by a massless string that
unwinds as the block slides downhill with friction. If the acceleration of the block is
2m/s^2, what is ? Find the velocity at the bottom of the slope using forces and
torques. Repeat the solution using energy concepts.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48cb233a-1308-406e-a137-b6a421b41ca4%2F8752fc9a-3c48-41f4-875b-364378086b80%2Fn3acm1y_processed.png&w=3840&q=75)
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