Solution to problem 13.4.17 from the collection of Kepe O.E.

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"Solution to problem 13.4.17 from the collection of Kepe O.?." is a digital product designed for those who solve mathematical problems. This product contains a solution to one of the problems from the collection of Kepe O.?. - a famous textbook on mathematics.

The product is designed in a beautiful HTML format, which allows you to conveniently view and study the solution to the problem on any device. Inside the product you will find a detailed description of all the steps that need to be completed to solve problem 13.4.17. In addition, additional materials may be provided inside the product to help you better understand the material and apply it in practice.

This product is ideal for students who are majoring in mathematics and want to improve their problem solving skills. It may also be useful for teachers who are looking for additional material for their students."

"Solution to problem 13.4.17 from the collection of Kepe O.?." is a digital product containing the solution to a mathematical problem from a well-known mathematics textbook. This product is ideal for students who study mathematics and want to improve their problem-solving skills. Inside the product you will find a detailed description of all the steps necessary to solve problem 13.4.17, which is to determine the angular frequency of free vertical oscillations of a load of mass m = 2 kg, if the spring stiffness coefficients c1 = c2 = c3 = 300 N/m. The solution is designed in a beautiful HTML format, which allows you to conveniently view and study the material on any device. In addition, the product may contain additional materials that will help you better understand the material and apply it in practice. Thus, this product is useful for anyone who is interested in mathematics and wants to improve their problem-solving skills. It may also be useful for teachers who are looking for additional material for their students. The answer to problem 13.4.17 is 10.

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Problem 13.4.17 from the collection of Kepe O.?. consists in determining the angular frequency of free vertical vibrations of a load weighing 2 kg, provided that the stiffness coefficients of the three springs are equal to 300 N/m.

To solve the problem, you need to use the formula for the angular frequency of oscillations of a load on springs:

ω = √(k/m)

where k is the spring stiffness coefficient, and m is the mass of the load.

Given that in this problem all three springs have the same stiffness coefficient, we can calculate the overall stiffness coefficient of the spring system:

k = c1 + c2 + c3 = 3c

where c is the stiffness coefficient of one spring.

Substituting the known values ​​into the formula for the angular frequency, we obtain:

ω = √(3c/m)

The value of the stiffness coefficient c from the problem conditions is equal to 300 N/m, and the mass of the load m is equal to 2 kg. Substituting these values, we get:

ω = √(3*300/2) ≈ 10 rad/s

Thus, the angular frequency of free vertical vibrations of a load weighing 2 kg on three springs with a stiffness coefficient of 300 N/m is approximately 10 rad/s.

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