Chapter 9, Problem 63GP

To determine

To Find: The steep a slope without tipping over.

Answer to Problem 63GP

  $28.61°$

Explanation of Solution

Given:

The height of the truck, $h=4.0\text{m}$

The width of the truck, $w=2.4\text{m}$

The C.G. of the truck, $h_G=2.2\text{m}$

Formula used:

  

From the above diagram:

  $\tan \theta =\frac{w/2}{h_G}$

Here,

  $\theta$ is the required angle to prevent tipping over.

Calculation:

Substituting the given values

  $\begin{array}{l}\tan \theta =\frac{2.4/2}{2.2}=\frac{1.2}{2.2}\\ \tan \theta =0.545\\ \theta ={\tan }^{-1}(0.545)=28.61°\end{array}$

Conclusion:

The required angle to prevent tipping over is $28.61°$ .