In the following figure, the pulley P1 is fixed and the pulley P2 is movable If W1 = W2 = 100 N, what is the angle AP2P1 ? The pulleys are frictionless

Question

In the following figure, the pulley P1 is fixed and the pulley P2 is movable If W1 = W2 = 100 N, what is the angle AP2P1 ? The pulleys are frictionless <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/205c028341ef67ec909ee9cb6dd029b2-.png" /> (A) 30° (B) 60° (C) 90° (D) 120°

Tardigrade Admin · Accepted Answer

2W cos θ=W2 <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/4d995bf6120b001dc5e72a30bfe622b3-.png" /> ⇒ 2× 100 cos θ=100 ⇒ cos θ=(1/2) ⇒ θ=60° =2θ=120°

Q. In the following figure, the pulley $P_{1}$ is fixed and the pulley $P_{2}$ is movable If $W_{1} = W_{2} = 100 N$ , what is the angle $A P_{2} P_{1}$ ? The pulleys are frictionless

$3 0^{\circ}$

$6 0^{\circ}$

$9 0^{\circ}$

$12 0^{\circ}$

$2 W cos θ = W_{2}$

$\Rightarrow 2 \times 100 cos θ = 100$

$\Rightarrow cos θ = \frac{1}{2}$

$\Rightarrow θ = 6 0^{\circ}$

$= 2 θ = 12 0^{\circ}$

Q. In the following figure, the pulley P1​ is fixed and the pulley P2​ is movable If W1​=W2​=100N, what is the angle AP2​P1​ ? The pulleys are frictionless

30∘

60∘

90∘

120∘