Answer:
7900N
Explanation:
35cm = 0.35m
When the object is at the rope center, its position at 3.44 / 2 =1.72m. We can find out the angle that the sagged rope makes with the horizontal
[tex]\theta = tan^{-1}(0.35/1.72) = 11.5 degree [/tex]
this means the rope makes with the vertical an angel of
90 - 11.5= = 78.5 degree
The tension of the 2 ropes, T, should balance with the object weight
[tex]2T*cos(78.5) = 3160[/tex]
[tex]T = \frac{3160}{2cos(78.5)}[/tex] = \frac{3160}{2*0.2} = 7900N[/tex]
