Solution to problem 5.7.7 from the collection of Kepe O.E.

In problem 5.7.7 it is required to determine the weight of the load G in kN with a known tension in the vertical cable CC1 equal to 20 kN and an angle α equal to 30°. The plane of the bent rod ABDE is horizontal, and the plane DO1O2 is vertical. The dimensions of AC are equal to BC. The answer to the problem is 20.

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Solution to problem 5.7.7 from the collection of Kepe O.?. associated with determining the weight of the load G in kN. To do this, it is necessary to take into account the tension of the vertical cable CC1, which is equal to 20 kN, as well as the angle α, which is 30°. The plane of the bent rod ABDE is horizontal, and the plane DO1O2 is vertical, and the dimensions AC are equal to BC.

To solve the problem it is necessary to use the law of conservation of energy. When lifting a load to a height h, the work is done by the force of gravity G, as well as the tension in the cable CC1. Therefore, we can write the equation:

20h + Gh = G * 9.81 * h,

where 9.81 is the acceleration of gravity.

Solving this equation, we get:

G = 20 kN / (cos 30°) = 20 kN.

Thus, the weight of the load G is 20 kN.

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