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  4. 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 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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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 figure. It is supported by a cable $AB$ such that the system is in equilibrium. The tension in the cable is : (Take $g =10 \,m / s ^2$ )Physics Question Image

JEE MainJEE Main 2023System of Particles and Rotational Motion

Solution:

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Taking torque about point $C$
$ \frac{ T }{2} \times 60=20 \times 50+80 \times 100$
$ \Rightarrow 3 T =100+800 $
$ \Rightarrow=300\, N$