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A 520 lb uniform disk with center G and radius r = 3 ft is connected...

Question:

A 520 lb uniform disk with center G and radius r = 3 ft is connected by a pulley system to a counterweight A weighing 75 lb. The system is initially at rest when A is allowed to drop, thus causing the disk to roll without slipping to the right. Neglect the inertia of pulley B and the cord, but model pulley C as a uniform disk with radius rC = 0.8 ft and weight WC = 50 lb. Assume the cord does not slip relative to pulley C.

Determine the speed of G after A has dropped 2 ft.

Required information A 520 lb uniform disk with center Gand radius r=3 ft is connected by a pulley system to a counterweight

Required information A 520 lb uniform disk with center Gand radius r=3 ft is connected by a pulley system to a counterweight A weighing 75 1b. The system is Initially at rest when A is allowed to drop, thus causing the disk to roll without slipping to the right. Neglect the Inertia of pulley B and the cord, but model pulley Cas a uniform disk with radius rc=0.8 ft and weight Wc= 50 lb. Assume the cord does not slip relative to pulley C. B 4 Determine the speed of Gafter A has dropped 2 ft. The speed of GIS 3.4244 ft/s.

Answers

wc NG P given disc mass (ma) = 152016 A r = 3ft WA h - 75W с pulley mass m = 506 Xe = 0.qft when h=2ft. Vo = ? tension X velog= 32.2 tu See2 :. 754 32.2x2 = - 1 x 75 xV 2 2 + 35101(a)? Cia 75x64.4 = 37.5 4V 0-8 va 3.42 ft sec Angplease like like like

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