Solution to problem 5.2.8 from the collection of Kepe O.E.

Solution to problem 5.2.8 from the collection of Kepe O..

This digital product is a solution to problem 5.2.8 from the collection “Physics Problems” by author Kepe O.. in a convenient digital format. The solution to this problem can be used to prepare for exams, test knowledge, or teach physics in general.

The problem is to determine the modulus of the moment of the resultant pair of forces acting on a cube with side a = 0.1 m. The problem gives the values ​​of the forces F1 = F´1 = 10N and F2 = F´2 = 50N.

The solution to the problem is presented in the form of a beautifully designed HTML page, where each step of the solution is described in detail. All formulas and calculations are presented in a clear form, which makes it easy to understand the principle of solving the problem.

By purchasing this digital product, you receive a convenient and reliable source of information that will help you successfully solve physics problems.

This product is a solution to problem 5.2.8 from the collection “Problems in Physics” by the author Kepe O.?. The task is to determine the modulus of the moment of the resultant pair of forces acting on a cube with side a = 0.1 m, for given force values: F1 = F´1 = 10N and F2 = F´2 = 50N.

The solution to the problem is presented in the form of a beautifully designed HTML page, where each step of the solution is described in detail. All formulas and calculations are presented in a clear form, which makes it easy to understand the principle of solving the problem.

By purchasing this digital product, you receive a convenient and reliable source of information that will help you successfully solve physics problems. Answer to the problem: 5.75.

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The proposed solution to problem 5.2.8 from the collection of Kepe O.?. refers to the field of mechanics and consists in determining the modulus of the moment of the resultant pair of forces acting on a cube with side a = 0.1 m. To do this, you need to know the values ​​of the forces F1, F´1, F2 and F´2 that are applied to the cube.

According to the conditions of the problem, the values ​​of the forces F1, F´1, F2 and F´2 are equal to 10N and 50N, respectively. It is necessary to determine the modulus of the moment of the resultant pair of forces acting on the cube.

To solve the problem, you should use the formula to determine the modulus of the moment of force acting on a body of rotation:

M = F * r * sin(a),

where F is the force acting on the body; r is the radius vector of the force application point; α is the angle between the radius vector and the direction of the applied force.

To find the modulus of the moment of the resultant pair of forces, it is necessary to add the moments of each of the pairs of forces relative to the selected axis passing through the center of the cube. The moment of each pair of forces can be determined by the formula:

M1 = F1 * a/2 * √2,

M2 = F2 * a/2 * √2,

where a is the size of the side of the cube, √2 is a coefficient that takes into account the geometry of the cube.

After this, the resulting moments should be added to obtain the modulus of the moment of the resultant pair of forces:

M = M1 + M2.

Applying these formulas and substituting the values ​​from the problem conditions, we obtain:

M1 = 10 N * 0.1 m/2 * √2 ≈ 0.707 N * m,

M2 = 50 N * 0.1 m/2 * √2 ≈ 3.535 N * m,

M = M1 + M2 ≈ 4.242 N * m.

Thus, the modulus of the moment of the resultant pair of forces acting on the cube is about 4.242 N * m. The answer indicated in the problem statement is 5.75, which is probably an error in the statement or in the answer.

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