A small sphere with radius r starts to roll without sliding from a height h over an elevation passing from there to a circular surface (loop) of radius R=h/2. Assuming r<

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A small sphere with radius r starts to roll without sliding from a height h over an elevation passing from there to a circular surface (loop) of radius R=h/2. Assuming r<<R .determine(a) The speed of the body at the highest point of its trajectory (fall threshold)

b) At what height does this occur ? take as zero of the base of the loop. *Attention the body does not reach the top of the loop*

center of mass of the sphere = (2/5)mr² Bar center of mass=(1/12)ml²

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