Chapter 9.4, Problem 82AYU

To determine

To find: theweight of the car.

Answer to Problem 82AYU

  $4636.44\text{ pounds}$ .

Explanation of Solution

Given:

Magnitude of force required to prevent a car rolling down a hillis $1200\text{ pounds}$ .

Inclined angle is ${15}^{\circ }$

Calculation:

As the Magnitude of force required to prevent a car rolling down a hill is $1200\text{ pounds}$ .

According to the question, it is to find AD when $MON={15}^{\circ }andCD=1200$ .

  

Now,

  $\begin{array}{l}AB=CD=1200\\ \angle ADB={90}^{\circ }-\angle DAB={15}^{\circ }\\ \therefore \sin \angle ADB=\frac{AB}{AD}\\ \Rightarrow AD=\frac{AB}{\angle ADB}\\ =\frac{1200}{\sin 15}=4634.44\end{array}$

Hence, the weight of the car is $4636.44\text{ pounds}$ .