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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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240 N

30 N

300 N

90 N

answer is C.

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Detailed Solution

System is in rotatory equilibrium $\sum τ = 0$ . Taking torques about ‘C’.

$T \sin 30^{0} \times 60 = 20 \times 50 + 80 \times 100$

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

T=300N

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