Answer:
The tension in the rope is 27416.9 N.
Explanation:
Given that,
Distance = 9.56 m
Weight of object = 4140 N
Length =36.2 cm
We need to calculate the angle
Using formula of angle
[tex]\tan\theta=\dfrac{y}{x}[/tex]
[tex]\theta=\tan^{-1}(\dfrac{y}{x})[/tex]
Put the value into the formula
[tex]\theta=\tan^{-1}(\dfrac{0.362}{4.78})[/tex]
[tex]\theta=4.33^{\circ}[/tex]
We need to calculate the tension in the rope
Using balance equation
[tex]2T\sin\theta=W[/tex]
[tex]T=\dfrac{W}{2\sin\theta}[/tex]
Put the value into the formula
[tex]T=\dfrac{4140}{2\sin4.33}[/tex]
[tex]T=27416.9\ N[/tex]
Hence, The tension in the rope is 27416.9 N.
