Two identical ladders are 3.0 m long and weigh 600 n each. they are connected by a hinge at the top and are held together by a horizontal rope, 1.0 m above the smooth floor forming a symmetric "a" arrangement. the angle between the ladders is 60° and both ladders have their center of gravity at their midpoint. what is the tension in the rope?

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.

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