Q.

A thin uniform rod of mass M and length L is hinged at an end and released from rest in the horizontal position. The tension at a point located a distance L/3 from the hinge point, when the rod becomes vertical, will be

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a

22Mg27

b

11Mg13

c

6Mg11

d

2Mg

answer is D.

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Detailed Solution

When the rod becomes vertical, apply conservation of energy
MgL2=12ML23w2W=3g/L
Centre of mass of lower two third part moves in a circle of radius 2L/3. 

We can apply Newton’s second law on this part
T2Mg3=2M32L3w2T=2Mg

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