A pulley system is attached to a massless board as shown below. The board pivots only at the pivot point. A 10 kg mass M sits exactly in the middle of the board. If the angle θ is 60°, what is the force F (in newton) necessary to hold the board in the position shown.

Question

A pulley system is attached to a massless board as shown below. The board pivots only at the pivot point. A 10 kg mass M sits exactly in the middle of the board. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/967f3caa28cef710e2a4184b619063ee-.png" /> If the angle θ is 60°, what is the force F (in newton) necessary to hold the board in the position shown. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/b677ab859a805195cc7a1e18b4b21741-.png" /> for equilibrium |M g (l/2)|=|2 F| l F=(m g/4)=(100/4)=25 N .

Q. A pulley system is attached to a massless board as shown below. The board pivots only at the pivot point. A $10 k g$ mass $M$ sits exactly in the middle of the board.

If the angle $θ$ is $6 0^{\circ}$ , what is the force $F$ (in newton) necessary to hold the board in the position shown.

for equilibrium $∣ ∣ M g \frac{l}{2} ∣ ∣ = ∣2 F ∣ l$
$F = \frac{m g}{4} = \frac{100}{4} = 25 N .$

Q. A pulley system is attached to a massless board as shown below. The board pivots only at the pivot point. A 10kg mass M sits exactly in the middle of the board. If the angle θ is 60∘, what is the force F (in newton) necessary to hold the board in the position shown.

for equilibrium ∣∣​Mg2l​∣∣​=∣2F∣l F=4mg​=4100​=25N.

Q. A pulley system is attached to a massless board as shown below. The board pivots only at the pivot point. A $10 k g$ mass $M$ sits exactly in the middle of the board.

If the angle $θ$ is $6 0^{\circ}$ , what is the force $F$ (in newton) necessary to hold the board in the position shown.

for equilibrium $∣ ∣ M g \frac{l}{2} ∣ ∣ = ∣2 F ∣ l$
$F = \frac{m g}{4} = \frac{100}{4} = 25 N .$