Answer:
The tension in the rope is 281.60 N.
Explanation:
Given that,
Length = 3.0 m
Weight = 600 N
Distance = 1.0 m
Angle = 60°
Consider half of the ladder,
let tension be T, normal reaction force at ground be F, vertical reaction at top hinge be Y and horizontal reaction force be X.
....(I)
.....(II)
On taking moment about base
Put the value into the formula
....(III)
We need to calculate the force for ladder
We need to calculate the tension in the rope
From equation (3)
Hence, The tension in the rope is 281.60 N.