Shown in the figure is rigid and uniform one meter long rod AB held in horizontal position by two strings tied to its ends and attached to the ceiling. The rod is of mass 'm' and has another weight of mass 2 m hung at a distance of 75 cm from A. The tension in the string at A is:

Question

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/1845bd23fea53abc62259409f888f388-.png" /> Shown in the figure is rigid and uniform one meter long rod AB held in horizontal position by two strings tied to its ends and attached to the ceiling. The rod is of mass 'm' and has another weight of mass 2 m hung at a distance of 75 cm from A. The tension in the string at A is: (A) 2 mg (B) 0.5 mg (C) 0.75 mg (D) 1 mg

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/0caf11f2b64e7811d0078c8d39406074-.png" /> τ B =0 (torque about point B is zero) ( T A ) × 100-( mg ) × 50-(2 mg ) × 25=0 100 T A =100 mg T A =1 mg

Q. Shown in the figure is rigid and uniform one meter long rod AB held in horizontal position by two strings tied to its ends and attached to the ceiling. The rod is of mass ′m′ and has another weight of mass 2m hung at a distance of 75cm from A. The tension in the string at A is:

2 mg

0.5 mg

0.75 mg

1 mg

τB​=0 (torque about point B is zero) (TA​)×100−(mg)×50−(2mg)×25=0 100TA​=100mg TA​=1mg

$τ_{B} = 0$ (torque about point $B$ is zero)
$(T_{A}) \times 100 - (m g) \times 50 - (2 m g) \times 25 = 0$
$100 T_{A} = 100 m g$
$T_{A} = 1 m g$