A yo-yo consists of two uniform discs, each of mass M and radius R, connected by...
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A yo-yo consists of two uniform discs, each of mass M and radius R, connected by a short light axle of radius a around which a portion of a thin string is wound. One end of the string is attached to the axle and the other to a fixed point P. The yo-yo is held with its centre of mass vertically below P and then released. (a) Assuming that the unwound part of the string remains approximately vertical, use the principle of conservation of energy to find the equation of motion of the centre of mass of the yo-yo. (b) Find the tension in the string as the yoyo falls. (c) If the string has length L, what is the speed of the yoyo just before it reaches the end? Explain what happens next. What is the change in momentum (i.e. the so called impulse) due to the tension in the string at this time? A yo-yo consists of two uniform discs, each of mass M and radius R, connected by a short light axle of radius a around which a portion of a thin string is wound. One end of the string is attached to the axle and the other to a fixed point P. The yo-yo is held with its centre of mass vertically below P and then released. (a) Assuming that the unwound part of the string remains approximately vertical, use the principle of conservation of energy to find the equation of motion of the centre of mass of the yo-yo. (b) Find the tension in the string as the yoyo falls. (c) If the string has length L, what is the speed of the yoyo just before it reaches the end? Explain what happens next. What is the change in momentum (i.e. the so called impulse) due to the tension in the string at this time?
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Related Book For
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
Posted Date:
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