Soln: Length element on the surface of a sphere of radius a is ds = a. √ ... A uniform hoop of mass m and radius r rolls without slipping on a fixed cylinder of radius ... a = r R,. ˙a = ä = 0,. ¨ φ = (r R r. ) ¨ θ, we get, λ1 = mg cosθ − m(r R)​θ2,. 3 ... move without friction on a smooth horizontal surface, as shown in the figure.
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a-solid-sphere-of-mass-m-and-radius-r-rolls-on-a-horizontal-surface-without-slipping
Suppose a uniform solid sphere of mass M and radius R rolls without slipping down ... A uniform ball is released from rest on a no-slip surface, as shown in the figure. ... A ballet dancer is spinning in the middle of a horizontal frictionless stage​. 939c2ea5af