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Q.

An object of mass 8 kg is hanging from one end of a uniform rod CD of mass 2 kg and length 1m pivoted at its end C on a vertical wall as shown in figure. It is supported by a cable AB such that the system is in equilibrium. The tension in the cable is :  (Take g= 10m/s2)

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a

240 N

b

30 N

c

300 N

d

90 N

answer is C.

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Detailed Solution

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System is in rotatory equilibrium ∑τ=0 . Taking torques about ‘C’.

T sin 300×60=20×50+80×100

T× 30=1000+8000=9000 ⇒T=300  N

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T=300N

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