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 )

Question

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 ) (A) 240 N (B) 30 N (C) 300 N (D) 90 N

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/25f908dd82ca0afa859f9387fb00a0d1-.png" /> Taking torque about point C ( T /2) × 60=20 × 50+80 × 100 ⇒ 3 T =100+800 ⇒=300 N

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

$240 N$

$30 N$

$300 N$

$90 N$

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

Q. An object of mass 8kg is hanging from one end of a uniform rod CD of mass 2kg 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 )

240N

30N

300N

90N