Solution to problem 13.4.6 from the collection of Kepe O.E.

13.4.6 It is necessary to calculate the maximum elongation of the spring AB in centimeters during vertical vibrations of the load. In this case, the load is attached at point B to an undeformed spring and is released from rest. The static deformation of the spring under the action of the load is 2 cm. (Answer: 4)

I’ll add that to solve this problem you need to use Hooke’s laws and oscillations of the load in the vertical plane.

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Solution to problem 13.4.6 from the collection of Kepe O.?. consists in determining the maximum elongation of the spring AB in cm during free vertical oscillations of a load that is attached at point B to an undeformed spring and is released from rest. To solve the problem, it is necessary to use the laws of harmonic oscillations, namely Hooke's law and the law of conservation of energy.

The static deformation of the spring under the action of the load is 2 cm. According to Hooke's law, the elongation of the spring is proportional to the applied force, and according to the law of conservation of energy, the total energy of the system remains constant during oscillations.

To determine the maximum elongation of a spring, it is necessary to find the period of oscillation of the system and use the formula for the maximum elongation of a spring in harmonic oscillations.

Based on the calculation results, it turns out that the maximum elongation of the spring AB is 4 cm. The answer in the problem is indicated as 4.

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