Two small disks, A and B, of weighing 6 lb and 3 lb, respectively, can slide on

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Two small disks, A and B, of weighing 6 lb and 3 lb, respectively, can slide on a horizontal and frictionless surface. They are connected by a cord of negligible mass and spin about their mass center G. At t = 0, G is moving with the velocity v0 and its coordinates are x0 = 0, y0 = 7.5 ft. Shortly thereafter, the cord breaks and disk A is observed to move with a velocity vA = (7.68 ft/s)j in a straight line and at a distance a = 5.58 ft from the y axis, while B moves with a velocity vB = (10.8 ft/s)i ?? (6.72 ft/s)j along a path intersecting the x axis at a distance b = 21.6 ft from the origin O. Determine

(a) The initial velocity v0 of the mass center G of the two disks,

(b) The length of the cord initially connecting the two disks,

(c) The rate in rad/s at which the disks were spinning about G.

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Vector Mechanics for Engineers Statics and Dynamics

ISBN: 978-0073212227

8th Edition

Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell

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