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Q.

A uniform rope of mass m and length L is pulled by applying force at one of the ends,. Along a frictionless inclined plane of inclination θ  with horizontal such that it moves with acceleration a. the tension in the rope at a distance x from the free end is

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a

mxLgsinθ

b

mxL(gsinθ+a)

c

mgsinθxL+ma(1+xL)

d

Zero

answer is B.

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Detailed Solution

Question Image

L→m

1→mL

x→mL(x)

T−mxL(gsinθ)=mxL(a)

T=mxL(a)+mxL(gsinθ)

T=mxL(gsinθ+a)

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