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< Problem Assignment No. 7 Kinetic Energy 1 of 25 Part A- Kinetic Energy of a Pulley and Weight System Learning Goal: To understand the kinetic energy of a rigid body undergoing translational motion, rotation about a fixed axis, or general motion in the plane. No c Consider the pulley and weight system shown in the figure. (Figure 2) The pulley has mass 14.0 kg, outer radius R -190 mm, inner radius Ri- 140 mm, and radius of gyration ko = 173 mm. Cylinder A weighs 57.0 N. Assume there is no friction between the pulley and its axle and that the rope is massless Consider the rigid body shown in the figure. Figure 1) An arbitrary ith particle of the body, having mass dm, is located a distance r from an arbitrary point P in the inertial a-y reference plane. If, at the instant shown, the particle has a velocity vs, then the particles kinetic energy is At the instant when w75.0 rad/s clockwise, what is the kinetic energy of the system? Express yout answer to three significant figures and include the appropriate units View Available Hint(s) Figure 1 of 3 7-1 Value Units Submit Part B- Kinetic Energy of a Rolling Bicycle Wheel The bicycle wheel shown in the figure rolls without slipping. (Figure 3) The wheel has a weight of 5.10 lb, a radius of r 12.0 in, and is rolling in such a way that the center hub, O, is moving to the right at a constant speed of 17.0 ft/s. Assume all the mass is evenly distributed at the outer radius r of the wheeltire assembly. What is the total kinetic energy of the bicycle wheel? Express your answer to three significant figures and include the appropriate units.

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