Solution to problem 13.4.13 from the collection of Kepe O.E.

Task 13.4.13

For a load suspended on a spring with a stiffness coefficient $c=2$ kN/m, it is necessary to determine the period of free vertical oscillations $T$ and the mass of the load.

Answer:

The oscillation period can be determined by the formula:

$$T=2\pi\sqrt{\frac{m}{c}}$$

Where $m$ is the mass of the load.

Substituting the known values, we get:

$$T=2\pi\sqrt{\frac{m}{2}}$$

To determine the mass of the load, it is necessary to solve the equation for $m$:

$$m=\frac{4\pi^2}{c}T^2$$

Substituting the values, we get:

$$m=\frac{4\pi^2}{2}T^2=2\pi^2T^2\approx 500$$

Answer: the mass of the load is 500.

Solution to problem 13.4.13 from the collection of Kepe O..

This digital product is a solution to problem 13.4.13 from Kepe O.'s collection of physics problems. The solution is presented in the form of a beautifully designed HTML document, which makes it easy to read and use.

The problem considers free vertical vibrations of a load suspended on a spring with a specified stiffness coefficient. The solution includes formulas and a step-by-step description of the solution process, allowing you to understand how the answer was arrived at.

This digital product will be useful to students and teachers studying physics at school, college or university. It can also be used as additional material for independent study of physics.

This digital product is a solution to problem 13.4.13 from the collection of problems in physics by Kepe O.?. The problem considers free vertical vibrations of a load suspended on a spring with a stiffness coefficient of 2 kN/m. To solve the problem, a formula is used to determine the period of free vertical oscillations of the load: T = 2π√(m/c), where m is the mass of the load. Substituting known values, we obtain the equation m = (4π²/c)T². The solution to the problem is presented in the form of a beautifully designed HTML document that makes it easy to read and use. It includes a step-by-step description of the solution process and formula, allowing you to understand how the answer was arrived at. This digital product will be useful to students and teachers studying physics at school, college or university, and can also be used as additional material for independent study of physics. Answer to the problem: the mass of the load is 500.

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Solution to problem 13.4.13 from the collection of Kepe O.?. consists in determining the mass of a load suspended on a spring with a stiffness coefficient c = 2 kN/m, if the period of free vertical oscillations is equal to T = ?s.

To solve the problem, it is necessary to use the formula for the oscillation period T = 2π√(m/k), where m is the mass of the load, and k is the spring stiffness coefficient.

Substituting the known values, we obtain the equation: ?с = 2π√(m/2).

Solving this equation for m, we get m = (2π?с/2)^2 * 1/2 = 500.

Thus, the mass of a load suspended on a spring with a stiffness coefficient c = 2 kN/m is equal to 500 grams.

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