Question

A 30-pound force that makes an angle of 32° with an inclined plane is pulling a box up the plane. The inclined plane makes a 20° angle with the horizontal. What is the magnitude of the effective force pulling the box up the plane?

Answer 1

25.44 Pounds

Step-by-step explanation

Step 1

Diagram

Free body diagram

Step 2

the effective force pulling up the box is the x component (parallel to the inclined plane) , so to find that component we canuse the cosine function,so

`\begin{gathered} F_x=Fcos\theta \\ replace \\ F_x=30\text{ pounds*cos32} \\ F_x=25.44\text{ pounds} \end{gathered}`

therefore, the effective force is 25.44 Pounds

I hope this helps you