Problem 40531.

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The movement of a material point as a result of the addition of 2 mutually perpendicular harmonic oscillations of identical frequencies, amplitudes and differing phases of oscillations by n/2 occurs in a circle with a radius of 10 cm at a constant speed of 5 cm/s counterclockwise. Calculate the amplitude and frequency of oscillations and write the equations of oscillations x(t) and y(t) in explicit form.

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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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