Amplitude?5. Harmonic Motion with a Horizontal Spring

AI Thread Summary
The discussion revolves around calculating the amplitude of a mass-spring system given its mass, frequency, initial position, and velocity. The user is confused about the application of the harmonic motion equation, particularly at t=0, where they find the equation yields zero. Key points include the importance of considering phase shift and angular frequency in the calculations. Participants suggest using both position and velocity equations to solve for amplitude effectively. Clarifications on units and the equations involved are also emphasized.
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Homework Statement



A 215 g mass attached to a horizontal spring oscillates at a frequency of 5.20 hz. At t=0 s, the mass is at = 4.00 =cm and has velocity 26.0 cm/s. Determine the Amplitude.

Homework Equations



x(t)=ACos(2(pi)t)/T

The Attempt at a Solution



Well at t=o x=4, but then the 2(pi)t goes to zero and the whole equation equals 0. What am I doing wrong? Thanks for any and all help


And yes sorry units would help so there they are.
 
Last edited:
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Units would help. 215 grams? 5.20 Hz? 4.00 cm?
 
Sorry, new here.

1. Remember phase shift
2. Frequency...Angular frequency?
3. Consider two equations x(t) and v(t)
4. Solve...
 
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