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The end of a chain of length L and mass ...

The end of a chain of length L and mass per unit length `rho`, which is piled up on a horizontally platform is lifted vertically with a constant velocity u by a variable force F. Find F as a function of height x of the end above platform:

A

`rho (gx + 2u^(2))`

B

`rho (2 gx + rho u^(2))`

C

`rho (gx + u^(2))`

D

`rho (u^(2) - gx)`

Text Solution

Verified by Experts

The correct Answer is:
C
Force is rate of change of momentum in chain plus the weight of chain at x
`F = rho xg + rho u^(2)`
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