Principle of Impulse and Momentum 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 m(v_Gx)_1 + sigma integral^t_2_t_1 F_x dt = m (v_Gx)_2 m(v_Gy)_1 + sigma integral^t_2_t_1 F_y dt = m(v_Gy)_2 Similarly, the equation for the principle of angular impulse and momentum about the z axis, which passes through the rigid-body's mass center G, is given by Angular velocity of the pulley The pulley shown (Figure 1) has a moment of inertia I_A = 0.400 kg middot m^2, a radius r = 0.200 m, and a mass of 20.0 kg. 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 in terms of the magnitude of the cord's tension, T (measured in N), 5.00 s after the system is released from rest. Use the principle of angular impulse and momentum. Express your answer numerically in radians per second to three significant figures. This question will be shown after you complete previous question(s). This question will be shown after you complete previous question(s). The 240-lb flywheel has a radius of gyration about its center of gravity O of k_O = 0.75 ft.(Figure 1) If it rotates counterclockwise with a constant angular velocity of 1000 rev/min before the brake is applied, determine the required force P that must be applied to the handle to stop the wheel in 1 s The coefficient of kinetic friction between the belt and the wheel rim is mu_k = 0.3. Express your answer with the appropriate units.