Solution to problem 18.2.1 from the collection of Kepe O.E.

18.2.1 Determine the relationship between the possible displacements of points A and B of a rectilinear rod AB, which form angles of 30 and 60° with the direction of the rod, respectively. (Answer 0.577)

It is required to calculate the relationship between the possible displacements of points A and B of a straight rod AB. Moreover, these points form angles of 30 and 60° with the direction of the rod, respectively. The answer to the problem is 0.577.

To solve the problem you need to use the formula:

the cosine of the angle between possible movements of points A and B is equal to the ratio of the length of the rod to the length of the projection of the rod in the direction of movement of points A and B

Thus, for this task:

cos 30° = AB / AC

cos 60° = AB / BC

where AB is the length of the rod, AC and BC are the projections of the rod onto the directions of movement of points A and B, respectively.

Solving the system of equations, we get:

AB = AC * √3 = BC * 2

From here:

AC / AB = 1 / (2√3) = √3 / 6 ≈ 0,289

BC / AB = 1 / 2 = 0,5

AC / BC = √3 / 3 ≈ 0,577

Thus, the ratio between the possible movements of points A and B of a rectilinear rod AB, which form angles of 30 and 60° with the direction of the rod, respectively, is 0.577.

Solution to problem 18.2.1 from the collection of Kepe O..

This digital product is a solution to problem 18.2.1 from the collection “Problems in General Physics” by the author Kepe O.. in electronic format.

The solution to the problem is presented in the form of a beautifully designed HTML document that is easy to read and understand. The document contains formulas, graphs and detailed explanations of each step of solving the problem.

This digital product is ideal for students, teachers and anyone who is interested in general physics and wants to improve their knowledge and skills in this field. It can be used both for independent work and for preparing for exams.

By purchasing this digital product, you get access to a high-quality solution to the problem that will help you better understand and remember the material. You can also save the document on your computer or mobile device and refer to it at any time to review the material.

Buy this digital product and expand your knowledge of general physics!

A digital product is offered - a solution to problem 18.2.1 from the collection "Problems in General Physics" by Kepe O.?. in electronic format. The solution to the problem is presented in the form of a beautifully designed html document, which contains formulas, graphs and detailed explanations of each step of solving the problem.

The task is to determine the relationship between the possible movements of points A and B of a rectilinear rod AB, which form angles of 30 and 60° with the direction of the rod, respectively. The answer to the problem is 0.577. To solve the problem, a formula is used according to which the cosine of the angle between possible movements of points A and B is equal to the ratio of the length of the rod to the length of the projection of the rod onto the direction of movement of points A and B.

By purchasing this digital product, you will gain access to a quality solution to the problem that will help you better understand and remember the material. It can be used for independent work or to prepare for exams. You can also save the document on your computer or mobile device and refer to it at any time to review the material. This product is ideal for students, teachers and anyone who is interested in general physics and wants to improve their knowledge and skills in this field.

The digital product is a solution to problem 18.2.1 from the collection “Problems in General Physics” by the author Kepe O.?. in electronic format. The solution to the problem is presented in a beautifully designed html document, which contains formulas, graphs and detailed explanations of each step of solving the problem.

To solve the problem, it is necessary to calculate the relationship between the possible movements of points A and B of the straight rod AB. Moreover, these points form angles of 30 and 60° with the direction of the rod, respectively. The answer to the problem is 0.577.

The solution to the problem is based on the formula: the cosine of the angle between possible movements of points A and B is equal to the ratio of the length of the rod to the length of the projection of the rod in the direction of movement of points A and B. For this problem we use the formulas cos 30° = AB / AC and cos 60° = AB / BC, where AB is the length of the rod, AC and BC are the projections of the rod onto the directions of movement of points A and B, respectively.

Having solved the system of equations, we obtain the relationship between possible movements of points A and B: AC / AB = 1 / (2√3) = √3 / 6 ≈ 0.289, BC / AB = 1 / 2 = 0.5, AC / BC = √ 3 / 3 ≈ 0.577.

This digital product is ideal for students, teachers and anyone who is interested in general physics and wants to improve their knowledge and skills in this field. It can be used both for independent work and for preparing for exams. By purchasing this digital product, you get access to a high-quality solution to the problem that will help you better understand and remember the material.

I present to your attention a digital product - the solution to problem 18.2.1 from the collection "Problems in General Physics" by Kepe O.?. in electronic format.

This product contains a beautifully designed html document with a detailed solution to the problem, which is to determine the relationship between the possible movements of points A and B of a rectilinear rod AB, which form angles of 30 and 60° with the direction of the rod, respectively. The answer to this problem is 0.577.

In the document you will find formulas, graphs and detailed explanations of each step of solving the problem. This product is ideal for students, teachers and anyone who is interested in general physics and wants to improve their knowledge and skills in this field.

By purchasing this digital product, you will gain access to a quality solution to the problem that will help you better understand and remember the material. You can also save the document on your computer or mobile device and refer to it at any time to review the material.

Solution to problem 18.2.1 from the collection of Kepe O.?. is a great way to expand your knowledge of general physics and prepare for exams. Buy this digital product and improve your knowledge and skills!

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Solution to problem 18.2.1 from the collection of Kepe O.?. consists in determining the relationship between the possible movements of points A and B of a rectilinear rod AB, which form angles of 30 and 60° with the direction of the rod, respectively.

To solve this problem, you need to use the cosine theorem, which allows you to express the length of the third side of a triangle in terms of the lengths of the other two sides and the angle between them.

Thus, it is necessary to calculate the displacement lengths of points A and B, forming angles of 30 and 60°, respectively, and then find the ratio of these lengths.

To calculate the lengths of movements, you can use the formula:

L = L0 * cos(α),

where L0 is the length of the rod, α is the angle between the rod and the direction of movement.

Substituting the angle values ​​and using trigonometric functions to calculate the cosines of the 30 and 60 degree angles, we get:

L_A = L0 * cos(30°) = L0 * √3 / 2,

L_B = L0 * cos(60°) = L0 * 1 / 2.

The ratio L_A / L_B will be equal to:

L_A / L_B = (√3 / 2) / (1 / 2) = √3.

So the answer to the problem is 0.577 (approximately), which corresponds to the value √3 / 3.

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