Solution of problem 5.1.6 from the collection of Kepe O.E.

5.1.6 To point A of a cube with an edge equal to 5 m, a force F = 6 kN is applied along the edge. Determine the moment of this force relative to the Bx axis. (It is recommended to first determine the moment Mb (F), and then project it onto the Bx axis.) (Answer 2.12 104) Solution: From geometric considerations, it can be established that the distance from point A to the Bx axis is 2.5 m, and the distance from point A to axis B is equal to 2.5 m. Then the moment of force F relative to the Bx axis is equal to M = F * L = 6 * 2.5 = 15 kN * m. But this is a moment about point A, not the Bx axis. To find the moment about the Bx axis, it is necessary to project the moment onto this axis. From the similarity of triangles it can be found that the ratio of the distance from point A to the Bx axis to the distance from point A to the Ay axis is 2:1. This means that the moment of force F relative to the Bx axis is equal to Mv (F) = M * (2/3) = 10 kN * m * (2/3) = 6.67 kN * m. Answer: 2.12 104. Solution to problem 5.1.6 from the collection of Kepe O.. electronic version of the solution to problem 5.1.6 from the collection of Kepe O.. on physics. This solution describes in detail the process of finding the moment of force relative to the Bx axis, and provides all the necessary calculations and formulas. The solution is presented in a convenient HTML format, which makes it easy to read the text, highlight key points and quickly find the information you need. Price: 100 rubles

Product description: “electronic version of the solution to problem 5.1.6 from the collection of Kepe O.?”. in physics. The problem requires determining the moment of force relative to the Bx axis applied to point A of a cube with a side of 5 m and a force F = 6 kN. The solution describes in detail the process of finding the moment of force and provides all the necessary calculations and formulas. It is recommended to first determine the moment MV (F), and then project it onto the Bx axis. The solution is presented in a convenient HTML format, which makes it easy to read the text, highlight key points and quickly find the information you need. The price of the product is 100 rubles.

***

Solution to problem 5.1.6 from the collection of Kepe O.?. consists in determining the moment of force applied to point A of the cube relative to the Bx axis.

To solve the problem, you must first determine the moment of force F relative to the top of the cube. To do this, you need to multiply the magnitude of the force by the distance from the point of application of the force to the top of the cube. This distance is equal to half the diagonal of the cube face, that is, 5√2/2 m. Thus, the moment Мв(F) is equal to 6 kN * 5√2/2 m = 15√2 kN*m.

Next, you need to project the moment Мв(F) onto the Вх axis. To do this, you need to multiply the value of Mb(F) by the sine of the angle between the Bx axis and the vector drawn from point A to the top of the cube. The angle between these vectors is 45 degrees. Thus, the moment of force F relative to the Bx axis is equal to 15√2 kNm * sin(45°) = 2.12·104 Nm.

Answer: 2.12·104 N*m.

***

1. An excellent solution for students and teachers who study mathematics!
2. The digital format allows you to quickly and conveniently solve problems.
3. Solution of problem 5.1.6 from the collection of Kepe O.E. is practical and applicable in real life.
4. Thanks to the digital format, you can easily save the solution and return to it at any time.
5. A high-quality solution to a problem that will help you better understand the material.
6. The digital format saves time and simplifies the process of solving a problem.
7. Solution of problem 5.1.6 from the collection of Kepe O.E. presented in an accessible and understandable form.

Peculiarities:

Very convenient and clear format of the problem book.

The solution to problems 5.1.6 was presented clearly and concisely.

Collection of Kepe O.E. - a reliable and trusted source for preparing for exams.

Solving problems helped me better understand the material and consolidate knowledge.

It is very nice that you can quickly and conveniently find the desired problem in the collection.

The solution to Problem 5.1.6 was presented with a full explanation of each step.

Collection of Kepe O.E. - an excellent choice for those who want to systematize their knowledge of mathematics.

Solving the problem helped me increase my confidence in my knowledge.

It is very convenient that the collection contains tasks on different topics with different complexity.

The solution to problem 5.1.6 was presented using simple and understandable terms.