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An object of mass 8kg 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 figure. It is supported by a cable AB such that the system is in equilibrium. The tension in the cable is (Take $g = 10 m / s^{2}$ )

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240 N

30 N

300 N

90 N

answer is C.

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Detailed Solution

Taking torque about point C

$\begin{array}{l} \frac{T}{2} \times 60 = 20 \times 50 + 80 \times 100 \\ \Rightarrow 3 T = 100 + 800 \\ \Rightarrow T = 300 N \end{array}$

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