Two blocks are connected by a light string passing over a pulley of radius .35 meters, and moment of inertia I. The blocks move as shown with a = 2 m/s², on inclines with frictionless surfaces. (a) Draw a free body diagram for each of the two blocks and the pulley. (b) Determine the tensions in the string. (c) Determine the moment of inertia of the pulley. (d) Determine the net torque on the pulley. Do we incur a large error in this problem if we ignored the effect of the pulley altogether? m, =7Kg m2= 9k4 55° %3D 35°
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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