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Statement of a problem № 3265

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A small homogeneous solid sphere of mass m and radius r rolls without slipping along the loop-the-loop track, Fig. 4.9. If the radius of the circular part of the track is R and the sphere starts from rest at a height h = 6 R above the bottom, find the horizontal component of the force acting on the track at Q at a height R from the bottom.

Solution:
A small homogeneous solid sphere of mass m and radius r rolls without slipping a

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