A tow truck is using a cable to pull the classic car up a 15o hill. If the classic car weighs 4000 lbs and the cable has a diameter of 3/4 inch, find the stress in the cable when the truck comes to a stop while on the hill. Ignore friction between the car and the pavement

Respuesta :

Answer:

the stress in the cable at the time when the truck is stop is 2,344.57  lb/m^2

Explanation:

The computation of the stress in the cable when the truck comes to a stop is shown below:

We used the following formula

[tex]T = mg\times sin\theta\\\\= 4,000 \times sin15^{\circ}[/tex]

= 1,035.28

Now the stress in the cable is

Before calculating it first determined the area which is

[tex]Area = \frac{\pi}{4}\times (\frac{3}{4})^2 \\\\= \frac{9\pi}{64}[/tex]

So, the stress is

[tex]= \frac{T}{area}\\\\ = \frac{1,035.28}{\frac{9\pi}{64} }[/tex]

= 2,344.57  lb/m^2

Hence, the stress in the cable at the time when the truck is stop is 2,344.57  lb/m^2