Learning Goal: To be able to solve problems involving force, moment, velocity, a

Question

Learning Goal: To be able to solve problems involving force, moment, velocity, and time by applying the principle of impulse and momentum to rigid bodies. The principle of impulse and momentum states that the sum of all impulses created by the external forces and moments that act on a rigid body during a time interval is equal to the change in the linear and angular momenta of the body during that time interval. In other words, impulse is the change in momentum. The greater the impulse exerted on a body, the greater the body's change in momentum. For example, baseball batters swing hard to maximize the impact force and follow through to maximize the impact time. This principle holds true for both linear and angular impulse and momentum. For a rigid-body's planar motion, the equations for the linear impulse and momentum in the x?y plane are given by Similarly, the equation for the principle of angular impulse and momentum about the z axis, which passes through the rigid-body?s mass center , is given by uploaded image The pulley shown (Part A figure) has a moment of inertia = 0.900 , a radius = 0.300 , and a mass of 20.0 . A cylinder is attached to a cord that is wrapped around the pulley. Neglecting bearing friction and the cord's mass, express the pulley's final angular velocity,omega_2, in terms of the magnitude of the cord's tension, (measured in ), 6.00 after the system is released from rest. Use the principle of angular impulse and momentum.

Explanation / Answer

(6/.9)*.3= 2 T radians/sec

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