Chapter 6, Problem 20CT

To determine

To find the force required to keep the motorcycle from rolling down the hill.

Answer to Problem 20CT

  $104\text{ pounds}$ .

Explanation of Solution

Given:

A $500$ pound motorcycle is stopped at an inclination of ${12}^{\circ }$ .

Calculation:

Let us draw the diagram for the above problem−

  

Now, from the figure, the stopping force should be equal to the sliding force, therefore

  $\begin{array}{l}F=W\sin {12}^{\circ }\\ F=500\sin {12}^{\circ }\\ F=104\text{ pounds}\end{array}$

Therefore, the stopping force is $104\text{ pounds}$ .