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Question

A tunnel is dug along a chord of the earth at a perpendicular distance R3 from the earth's centre. Assume wall of the tunnel is frictionless. Find the force exerted by the wall on mass m at a distance x from the centre of the tunnel

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A
mgR29+x2R
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B
mgxR2/a+x2
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C
mg3
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D
mgxR
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Solution

The correct option is B mg3
F=mg=mg⎢ ⎢1+R39+x29⎥ ⎥
=mgR2/9+x2R.R/3R2/9+x2=mg3

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