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Q.

Figure shows a rough track, a portion of which is in the form of a cylinder of radius R. With what minimum velocity a sphere of radius r be set rolling on the horizontal part so that it completely goes around the circle on the cylindrical part?

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a

277g(R-r)

b

207g(R-r)

c

207gR

d

177g(R-r)

answer is A.

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Detailed Solution

KE of sphere = 710mv2    710mv'2 +mg2(R-r) = 710mv2but vmin' = g(R-r)put the value of v' and solve toget v = 277g(R-r)
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