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Q.

A rope of length L and mass M is hanging from a rigid support. The tension in the rope at a distance x from the rigid support is

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a

Mg

b

L-xLMg

c

LL-xMg

d

xLMg

answer is B.

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Detailed Solution

Mass per unit length of rope =MLTx= mass of rope of length (L-x)×g=ML(L-x)g
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A rope of length L and mass M is hanging from a rigid support. The tension in the rope at a distance x from the rigid support is