A person pulls a rope with a force $ F $ at an angle of $ 60^\circ $ to the horizontal. The rope is connected to a load over a frictionless pulley as shown in the diagram. The load is stationary. Which of the following is correct about the weight of the load and the net force exerted on the pulley by the rope?

Question

A person pulls a rope with a force $ F $ at an angle of $ 60^\circ $ to the horizontal. The rope is connected to a load over a frictionless pulley as shown in the diagram. The load is stationary. Which of the following is correct about the weight of the load and the net force exerted on the pulley by the rope?(a) Load weight is Less than $ F $ and net force exerted is Less than $ 2F $
, (b) Load weight is Less than $ F $ and net force exerted is Equal to $ 2F $
, (c) Load weight is Equal to $ F $ and net force exerted is Less than $ 2F $
, (d) Load weight is Equal to $ F $ and net force exerted is Equal to $ 2F $
:

Rita · Accepted Answer

The load weight is $F$ and the net force on the pulley is $F\sqrt{2+\sqrt{3}}$, which is less than $2F$. Therefore, the correct option is $\boxed{(c)}$.

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