Calculating Amplitude in Simple Harmonic Motion

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In the discussion about calculating amplitude in simple harmonic motion, the formula for acceleration is presented as a = -ω^2 * A * sin(ωt). The participant confirms that the amplitude A can be rearranged to A = a / (-ω^2 * sin(ωt), provided the denominator is not zero. It is emphasized that to calculate amplitude accurately, all parameters must be known at a specific point in time. The conversation concludes with an acknowledgment of the validity of the transformation.
Steve12321
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Hello and thanks for you time.

Just a quicky :-)

For a free vibration impulse response, the acceleration a is given by:

a = -ω^2*Asin(ωt)

So am I right in saying that you can rearrnage to calculate the amplitude A as:

A = a/(-ω^2*sin(ωt))

Thanks,
Steve
 
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If the denominator is not zero, this is a valid transformation, sure.
To calculate the amplitude in that way, you need all those parameters for some point in time.
 
OK - thanks very much.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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