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A block is dragged on a smooth plane with the help of a rope which moves with a velocity ν  as shown in figure. The horizontal velocity of the block is

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a
ν
b
vsin⁡θ
c
vsin⁡θ
d
vcos⁡θ

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detailed solution

Correct option is B

L2=x2+y2∴y= constant 2LdLdt=2xdxdt⇒dxdt=LxVHorizontal velocityvx=vsin⁡θxL=sin⁡θor vx=Vsin⁡θ


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A constant force F = m2g/2 is applied on the block of mass m1 as shown. The string and the pulley are light and the surface of the table is smooth. Find the acceleration of m1.


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