Physics Fundamentals : Moment

1. The problem statement, all variables and given/known data
A ladder weighing 200N is being held by a man. The man shoulder acts as a pivot. His arm is pushing an upward force F.

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Where could a weight of 150N be hang upon, so that force F do not need to counteract the weight of the ladder

2. Relevant equations
Moment= F x Perpendicular Distance

3. The attempt at a solution
I am not sure if I am understanding it correctly. If I am not wrong, the question is asking me, where can I hang a weight of 150N, so that force F no need to counteract the weight of the ladder. Meaning, assume force F = 0N.

Let the distance be x
Total clockwise moment = total anti clockwise moment
150x = 200*0.5
150x = 100
x = 2/3
= 0.667m.

Therefore it needs to be hang 0.667m away from the pivot or at 3.167m of the ladder.

Am I understanding this correctly?

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