Answer to Question #265088 in Physics for Sumpa

Question

What is the maximum amount of weight that could be pulled up an inclined plane

if the force is limited to 50.75 pounds, the inclined plane is 12.25 feet long, and the

height is 54 inches?

Answer 1

In order to pull the weight up an inclined plane, the following condition must satisfied:

$$F_{pull}>Wsin\theta=W\dfrac{h}{L}.$$

Let's find the maximum amount of weight:

$$W_{max}=\dfrac{F_{pull}L}{h},$$ $$W_{max}=\dfrac{50.75\ lb\times12.25\ ft}{54\ in\times\dfrac{1\ ft}{12\ in}}=138\ lb.$$