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Question

Find the minimum height of the obstacle so that the sphere can stay in equilibrium.

120012_57324fd6740c4130a177e93c9b2ad619.png

A
R1+cosθ
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B
R1+sinθ
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C
R(1sinθ)
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D
R(1cosθ)
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Solution

The correct option is D R(1cosθ)
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=(Rh)R
or
h=RRcosθ

151058_120012_ans.png

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