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2) A yo-yo is made of two uniform disks, each of mass M and radius R, which are glued to a smaller central axle
2) A yo-yo is made of two uniform disks, each of mass M and radius R, which are glued to a smaller central axle of negligible mass and radius 0.5R (see figure). A string is wrapped tightly around the axle. The yo-yo is then released from rest and allowed to drop downwards, as the string unwinds without slipping from the central axle. A) Find the moment of inertia, I, of the yo-yo with respect to an axis through the common centers of the disks, in terms of the mass and radius. B) Using energy considerations, find the linear speed v of the yo- yo, after it has descended a distance H. R Side view H MM C) Draw a free body diagram for the yo-yo. D) Write appropriate Newton's Laws equations. E) Find the yoyo's angular acceleration and tension in the string. F) How long does it take and how many revolutions does the yoyo turn in descending a distance H? R/2
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Vector Mechanics for Engineers Statics and Dynamics
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
8th Edition
73212229, 978-0073212227
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