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Split the system first. Divide the weight based on the distance from the center of mass for a uniform solid. For each part of the system the force downward will be the the partial weight.

Next, (this is easy if the ropes are vertical) you find the force on each rope by using trigonometry. The force on the ropes will be the hypotenuses of the triangle formed by the downward force and its angle.

Notice that, as the angles (θ and θ') of the ropes approach 0° (horizontal), the force on the rope approaches infinity.

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Q: How do you calculate pull on weight hanging on 2 ropes?
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