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As a result of adding two mutually perpe...

As a result of adding two mutually perpendicular oscillations of equal frequency the motion of an object occurs alongan ellipse, in one case the motion is clockwise, while in the other it is counter clockwise . Write the equations of motion along each coordinate axis, assuming that the initial phase along the x-axis is zero.

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To solve the problem, we need to derive the equations of motion for two mutually perpendicular oscillations of equal frequency, resulting in elliptical motion. We will assume that the initial phase along the x-axis is zero. ### Step 1: Define the Oscillations We have two oscillations along the x-axis and y-axis. Let: - The amplitude of the oscillation along the x-axis be \( A \). - The amplitude of the oscillation along the y-axis be \( B \). - The angular frequency for both oscillations be \( \omega \). ...
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