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Q.

A string of length L and mass M are lying on a horizontal table. A force F is applied at one of its ends. Tension in the string at a distance x from the ends at which force is applied is

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a

$F (L - x) / M$

b

Zero

c

$F$

d

$F (L - x) / L$

answer is C.

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Detailed Solution

Acceleration $a = \frac{F}{M}$

Drawing F.B.D.

$F - T = \frac{M}{L} (x) a \Rightarrow T = F (1 - \frac{x}{L})$

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A string of length L and mass M are lying on a horizontal table. A force F is applied at one of its ends. Tension in the string at a distance x from the ends at which force is applied is