Solution to problem 18.3.12 from the collection of Kepe O.E.

18.3.12 It is necessary to determine the magnitude of the force F2 required to be applied to the slider so that the mechanism is in equilibrium if it is known that the force F1 is equal to 100 N and the length OA is equal to AB. (Answer: 200)

Solution to problem 18.3.12 from the collection of Kepe O.?.

Digital product

This product is a solution to problem 18.3.12 from the collection of Kepe O.?. in theoretical mechanics. The solution was prepared by a professional teacher and is presented in the form of an electronic document that will provide you with quick access to the necessary information.

Product Features:

• Accurate and detailed solution to the problem;
• Convenient electronic format;
• Quick access to information;
• High quality design.

Cost: 100 rubles

This product is an electronic document containing the solution to problem 18.3.12 from the collection of Kepe O.?. in theoretical mechanics. In this problem, you need to determine the magnitude of the force F2 required to be applied to the slider so that the mechanism is in equilibrium. The solution was prepared by a professional teacher and presented in a convenient electronic format that will provide quick access to the necessary information. Product features include an accurate and detailed solution to the problem, high quality design and quick access to information. The cost of this product is 100 rubles. The answer to the problem is 200.

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Problem 18.3.12 from the collection of Kepe O.?. consists in determining the modulus of the force F2 necessary to achieve equilibrium of the mechanism, if the force F1 and the length of the segment OA are known, equal to the length of the segment AB.

To solve this problem it is necessary to use the laws of mechanics and equilibrium of bodies. It is known that to achieve equilibrium, the sum of all forces acting on the mechanism must be equal to zero. It is also known that force F1 is directed downwards and force F2 is directed upwards.

The solution to the problem is to find the force modulus F2, at which the sum of all forces acting on the mechanism will be equal to zero. To do this, it is necessary to use the principle of equality of moments of forces, which states that the moment of forces acting on a body around any point must be equal to zero.

From the conditions of the problem it is known that the lengths of the segments OA and AB are equal to each other. Therefore, point B is the midpoint of segment OA. Based on this, we can write the equation for the equality of moments of forces about point B:

F1 * OA = F2 * AB

where OA and AB are the lengths of the segments, F1 and F2 are the force modules.

Substituting the known values, we get:

100 * OA = F2 * AB

Since OA = AB, we can write:

100 * AB = F2 * AB

It follows that the force modulus F2 must be equal to 200 N for the mechanism to be in equilibrium.

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