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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 that 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.

A
mg3
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B
mgxR
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C
mgR29+x2R
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D
mgxR21+x2
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Solution

The correct option is A mg3

F=mg=mg⎜ ⎜1(RR29+x2)R⎟ ⎟

F=mgRR29+x2

Fwall=mgRR29+x2R3R29+x2mg3

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