A uniform rod of mass 15 kg and of length 5m is held stationary with the help of a light string as shown in the figure. The tension in the string is
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a
150 N
b
225 N
c
100 N
d
none of the above
answer is C.
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Detailed Solution
The free-body diagram of the rod is as shown in the figure. (Force exerted by the hinge on the rod are not shown.) Given : OBsinθ=3 ⇒sinθ=35 OA=OB2=52Now, take torque about the hinge,T×OBsinθ−15g×OAcosθ=0⇒T×3−15g×52×45=0⇒T=100N