Problem 40105.

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Uploaded: 27.10.2023
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Product description

A body of mass m=1 kg attached to a horizontal spring with stiffness k=1 N/m (the second end of the spring is fixedly fixed) was at rest and the spring was initially undeformed. Then the body was given a certain speed and it deviated from its original position by an amount of A = 0.01 m in the positive direction of the coordinate axis. Write down the differential equation of motion of a body attached to a spring - first in general form, and then with the substitution of specific numerical values. Write down the solution to this differential equation and plot it. Formulate and write the definition and physical meaning of the main characteristics of a harmonic vibration: amplitude, period, frequency, cyclic frequency, phase and initial phase.

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Detailed solution with a brief record of the conditions, formulas and laws used in the solution, derivation of the calculation formula and answer.
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