Question

In a single movable pulley, if the effort moves by a distance $x$ upwards, by what height is the load raised?

• A. $x/2$
• B. $x$
• C. $4x$
• D. $2x$

Answer 1

The correct option is A $x/2$

Load $L$ is attached to the movable pulley. A rope is fi xed at a point in ceiling that passes through the moveable pulley.

In order to lift the effort $E$ by $x$ meters, the load $L$ needs to

Travel the distance of $x/2$ meters. (The entire rope needs to be pulled by $E$ for a distance of $x$)

Now, Velocity Ratio equals (Distance traveled by $E$) divided by (Distance traveled by $L$)

So it becomes : $x/\left(x/2\right)$. This equals to 2

Since it is a ratio. it has no units of measurement.