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A carpet runner is placed onto a long straight inclined plane parallel to the steepest...

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A carpet runner is placed onto a long straight inclined plane parallel to the steepest line in the plane from the bottom of the slope till its top The carpet is thin and flexible and it cannot slide down because of the friction but it can easily be lifted it does not stick to the plane The top end of the carpet is rolled a bit and this hoop of carpet is released The hoop rolls down the slope with greater and greater speed while its diameter increases and finally it reaches the bottom of the slope during a time of t If a solid cylinder is released at the top of the slope it reaches the bottom in a time of t The ratio Jk Find k t G

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