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

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Solution

Q.
An object of mass 8 kg is hanging from one end of a uniform rod CD of mass 2 kg and length 1 m pivoted at its end C on a vertical wall as shown in fig. It is supported by a cable AB such that the system is in equilibrium. The tension in the cable is (Take g = 10 $m / s^{2}$ ) [2023]

1 240 N

2 30 N

3 300 N

4 90 N

Ans.
(3)

$System is in rotary equilibrium, \sum τ = 0 .$ $Taking torques about ' C'$

$T \sin 30 ° \times 60 = 20 \times 50 + 80 \times 100$

$T \times 30 = 1000 + 8000 = 9000$ $\Rightarrow T = 300 N$

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