Simple Harmonic Motion Maxiumum Velocity

AI Thread Summary
The discussion focuses on calculating the maximum speed and maximum acceleration of a mass-spring system undergoing simple harmonic motion. The time period is given as 0.25 seconds, and the amplitude is 30 mm. The user confirms that the maximum speed occurs when the cosine term equals 1, which is correct. The relevant equations for maximum speed and acceleration are derived from the properties of simple harmonic motion. The conversation emphasizes understanding the relationship between frequency, amplitude, and maximum values in oscillatory motion.
richardstan
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Hi, wondering if someone could help me with the following question.

A mass is hung from the lower end of a light vertical spring, whose upper end is fixed. The mass is pulled down and released and the time period of the oscillating system is measured. If the time period is 0.25s and the amplitude of oscillation is 30mm, calculate:

i.)the maximum speed
ii.)the maxiumum acceleration

I have an equation for the speed:

ds/dt = A 2(pi)f cos(2(Pi)ft)

i have a value for the frequency, is the maximum speed when the value of cos(2(Pi)ft) = 1?
Thanks
Richard.
 
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You got it.:smile:
 
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