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A thin uniform thin rod AB of mass m and length L is lying on a frictionless table. A particle of mass m is attached to the end B. A horizontal force F is applied to the rod at point P. If the rod performs pure translational motion, the length AP is

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a

l3

b

l4

c

2l3

d

3l4

answer is D.

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Detailed Solution

For pure translational motion, point P must be the position of centre of mass of rod-particle system.Taking origin at A the C.M. of system lies at∴AP=m × l2+m × lm+m=3l4

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