Solution to problem 4.2.10 from the collection of Kepe O.E.

It is necessary to determine the force in the rod AB if it is known that the force F is equal to 400N.

Answer: 100.

We have a task to determine the force in the rod AB, which can be calculated knowing the value of the force F equal to 400N. So, the answer to the problem is 100.

Solution to problem 4.2.10 from the collection of Kepe O.?.

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Solution to problem 4.2.10 from the collection of Kepe O.?. consists in determining the force in rod AB at a given force F = 400N. The answer to the problem is an effort value of 100.

To solve this problem it is necessary to use the laws of mechanics. According to the law of equilibrium, the sum of all forces acting on a body must be equal to zero. In this case, we consider rod AB, which is acted upon by a force F = 400N. It is assumed that the rod is in equilibrium.

To determine the force in the rod AB, it is necessary to apply the formula F = S * sigma, where F is the force, S is the cross-sectional area of ​​the rod, sigma is the stress in the rod.

The cross-sectional area of ​​the rod can be determined by the formula S = pi * d^2 / 4, where pi is the Pi number (3.14), d is the diameter of the rod.

The stress in the rod can be determined by the formula sigma = F / S.

Substituting the known values, we get:

S = pi * d^2 / 4 = 3.14 * 1^2 / 4 = 0.785 sq.cm

sigma = F / S = 400 / 0.785 = 509.5 kgf / sq.cm

Thus, the force in rod AB is 100 kgf.

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