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Q.

A system consist of block of mass m, rod of length l and mass 2m connected with the help of string, which passes through an ideal pulley is released from rest as shown in the figure. Tension in the rod at a distance  l3  from the upper end of the rod is

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a

2mg9

b

4mg9

c

8mg9

d

2mg3

answer is C.

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Detailed Solution

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 a=2m−m3mg=g3
Now apply Newton’s 2nd law on lower 2/3rd part of rod.

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We get  4mg3−T=4m3a=4m3×g3
 
 T=4mg3−4mg9   T=8mg9
 

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