How can I solve for Amplitude and Period if I have the following data?

a=-4^2.x (ie. SHM)

x = 2m, speed = sqrt(10 )m/s

given I cannot use k=4 from a=-4^2.x

I was thinking to use v^2=k^2(A^2-x^2)

so 10=k^2(A^2-4) but then I have 2 unknowns?

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- July 25th 2012, 06:31 AMNeverquitAmplitude calculation
How can I solve for Amplitude and Period if I have the following data?

a=-4^2.x (ie. SHM)

x = 2m, speed = sqrt(10 )m/s

given I cannot use k=4 from a=-4^2.x

I was thinking to use v^2=k^2(A^2-x^2)

so 10=k^2(A^2-4) but then I have 2 unknowns? - July 25th 2012, 07:26 AMebainesRe: Amplitude calculation
For simple harmonic motion

,

,

From the acceleration equation if you are given that then .

If at x = 2m, then from the velocity equation: