Intro to Simple Harmonic Motion (Horizontal Springs) Video Lessons

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# Problem: The position of a simple harmonic oscillator is given by x(t) = (0.50m)cos(π/3 t) where t is in seconds. 1. What is the period of the oscillator? 2. What is the amplitude? 3. What is the maximum velocity?

###### FREE Expert Solution

The general solution of the motion of a particle undergoing SHM is

$\overline{){\mathbf{x}}{\mathbf{\left(}}{\mathbf{t}}{\mathbf{\right)}}{\mathbf{=}}{\mathbf{A}}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{\left(}}{\mathbf{\omega }}{\mathbf{t}}{\mathbf{\right)}}}$ where A is the amplitude

Angular frequency:

$\overline{){\mathbf{\omega }}{\mathbf{=}}{\mathbf{2}}{\mathbf{\pi }}{\mathbf{f}}{\mathbf{=}}\frac{\mathbf{2}\mathbf{\pi }}{\mathbf{T}}}$

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###### Problem Details

The position of a simple harmonic oscillator is given by x(t) = (0.50m)cos(π/3 t) where t is in seconds.

1. What is the period of the oscillator?

2. What is the amplitude?

3. What is the maximum velocity?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Intro to Simple Harmonic Motion (Horizontal Springs) concept. You can view video lessons to learn Intro to Simple Harmonic Motion (Horizontal Springs). Or if you need more Intro to Simple Harmonic Motion (Horizontal Springs) practice, you can also practice Intro to Simple Harmonic Motion (Horizontal Springs) practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Dhakal's class at UCF.