Finding Parameters for Simple Harmonic Motion at t=1

AI Thread Summary
To find the parameters for Simple Harmonic Motion (SHM) at t=1 s, the displacement, velocity, and acceleration equations must be utilized. The general equation s=Acos(ωt+φ) is essential, incorporating the phase constant φ. The values provided at t=1 s—displacement of 1 cm, velocity of 2 cm/s, and acceleration of -3 cm/s²—allow for the calculation of angular frequency ω, amplitude A, and phase constant φ. The discussion emphasizes that the period is not required for these calculations. Understanding the relationships between displacement, velocity, and acceleration is crucial for solving the problem accurately.
Jaimee
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Homework Statement


  1. Consider a Simple Harmonic Motion
    (SHM) for which, at time t = 1 s, the displacement is s=1 cm, the velocity is
    2 cm s−1, and the acceleration is −3
    cm s−2. Find the angular frequency, 4. amplitude, and phase constant for this motion.

Homework Equations


f=1/T
T=2pi*sqrt(m/k)=(2*pi)/w
w=v/R
v=-Awsin(wt)
s(t)=A*cos((2pi*t)/T)

The Attempt at a Solution


I have atached my attempt as a picture but I don't really know how to start
21014518_1630550073622917_992353638_o.jpg
 
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You are not asked or told about period, so don't bother with equations involving that.
Start with a generic form of equation, s=Acos(ωt+φ). You need the φ because phase is mentioned.
In terms of A, ω and φ, what are:
- the displacement when t=1,
- the velocity when t=1
- the acceleration when t=1?
 
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