Chapter 8.5, Problem 16E

To determine

To find: the magnitude force required to push an object along the ramp that is inclined at certain angle with the horizontal.

Answer to Problem 16E

17.36 pounds

Explanation of Solution

Given information:

Weight of an object = 100 pounds

Angle of inclination = $10°$

Calculation:

The force must be at least greater as the component of the weight of the object in the direction of the ramp. The sketch for the given situation is as follows:

  

The magnitude of the force can be evaluated as shown below.

  $\begin{array}{c}\overrightarrow{F}=100\sin 10°\\ =17.36\text{ pounds}\end{array}$

Thus the magnitude of required force is 17.36 pounds.