Find the minimum height of the obstacle so that the sphere can stay in equilibrium.
A
R1+cosθ
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B
R1+sinθ
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C
R(1−sinθ)
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D
R(1−cosθ)
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Solution
The correct option is DR(1−cosθ) The sphere is on the verge of toppling when a line of action of weight passes through the edge. The equilibrium is because of the line of action of weight and the normal reaction provided by the edge. cosθ=(R−h)R or h=R−Rcosθ