Finding Position of Simple Harmonic Oscillator

In summary, the conversation discusses finding the position and velocity of a block at time t=1.00, as well as the spring constant and mass. The maximum amplitude has been found, but the question remains about the block's position at time t=0. It is mentioned that the block's initial motion is not specified, making it difficult to determine the phase constant without solving for it. The question poses a challenge to solve the problem without finding the phase constant or using equations.
  • #1
Andrusko
44
0
I have been given at t=1.00 a position and velocity. And the spring constant and mass.

I have found the maximum amplitude.

The question is, where was the block at time t=0? And apparently this can be done without solving for the phase constant and making an equation.

The question doesn't specify how the block was put into motion. So I don't think you can assume that it started at it's maximum amplitude or was subjected to a force from it's equilibrium. And that's as far as I have got in solving this problem.

Is it possible without finding phase constant? Any hints/help?
 
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  • #2
Why wouldn't you just solve for the phase constant?
 
  • #3
The question specifies that I shouldn't do that. I think it's some kind of challenge to do it from first principles. Like making a second order differential equation.
 

FAQ: Finding Position of Simple Harmonic Oscillator

How do you find the position of a simple harmonic oscillator?

The position of a simple harmonic oscillator can be found using the equation x = A*cos(ωt + φ), where x is the position, A is the amplitude, ω is the angular frequency, and φ is the phase constant.

What is the formula for the angular frequency of a simple harmonic oscillator?

The angular frequency of a simple harmonic oscillator is given by the equation ω = √(k/m), where k is the spring constant and m is the mass of the oscillator.

How does the amplitude affect the position of a simple harmonic oscillator?

The amplitude of a simple harmonic oscillator determines the maximum displacement from the equilibrium position. As the amplitude increases, the position also increases, but the time period remains the same.

Can the phase constant affect the position of a simple harmonic oscillator?

The phase constant, φ, determines the initial position of the oscillator. It has no effect on the position as time passes, but it does affect the position at a specific point in time.

What factors can affect the position of a simple harmonic oscillator?

The position of a simple harmonic oscillator can be affected by changes in the amplitude, angular frequency, mass, or spring constant. Additionally, external forces or damping can also affect the position of the oscillator.

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