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Questions  

A block is lying on the horizontal frictionless surface. One end of a uniform rope is fixed to the block which is pulled in the horizontal direction by applying a force F at the other end. If the mass of the rope is half the mass of the block, the tension in the middle of the rope will be

a
F
b
2 F/3
c
3 F/5
d
5 F/6

detailed solution

Correct option is D

The acceleration of block-rope systema=F(M+m)where M = mass of block and m =mass of rope So, the tension in the middle of the rope will be T={M+(m/2)} a=M+(m/2)F(M+m)Given that m = M/2∴T=M+(M/4)M+(M/2)F=5F6

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