Question

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

Answer 1

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

Step-by-step explanation:

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

We used the following formula

`T = mg* sin\theta\\\\= 4,000 * sin15^(\circ)`

= 1,035.28

Now the stress in the cable is

Before calculating it first determined the area which is

`Area = (\pi)/(4)* ((3)/(4))^2 \\\\= (9\pi)/(64)`

So, the stress is

`= (T)/(area)\\\\ = (1,035.28)/((9\pi)/(64) )`

= 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