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