The equations of motion for harmonic oscillations have the form -X = 2 * sin П t. Determine xc

We need to use the cyclic frequency equation.
It can be seen from the equation that the cyclic frequency interacts with two formulas:
w = п;
w = 2 п * nu;
Now let’s find the vibration frequency:
nu = w / 2 * п = 1/2 = 0.5 Hz;
Now let’s find the period:
T = 1 / 0.5 = 2 s.
Answer: T = 2 seconds.



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