Answer:
The tension on each rope is 28.28 lb
Explanation:
Given that,
Weight = 40 lb
Angle = 45°
We need to calculate the tension on each rope
Considering the symmetry of the system, the tension of each rope must be same
So,
[tex]T\sin\theta+T\sin\theta=mg[/tex]
Put the value into the formula
[tex]2T\sin\theta=mg[/tex]
[tex]T\times\sin45=\dfrac{40}{2}[/tex]
[tex]T=\dfrac{40\sqrt{2}}{2}[/tex]
[tex]T=28.28\ lb[/tex]
Hence, The tension on each rope is 28.28 lb.
