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Question

A small body slides over the curved surface of a semicircular fixed cylinder of radius 'r', kept horizontally on the ground as shown in the figure. At what height from the ground would the body lose contact with the surface


A
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B
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C
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D
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Solution

The correct option is A
Let normal reaction makes an angle θ from vertical, then v2=2gr(1cosθ) and mv2r=mgcosθ height from ground h=2r3

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