Intro to Simple Harmonic Motion (Horizontal Springs) Video Lessons

Concept

# Problem: You are watching an object that is moving in SHM. When the object is displaced 0.600 m to the right of its equilibrium position, it has a velocity of 2.20 m/s to the right and an acceleration of 8.40 m/s2 to the left.How much farther from this point will the object move before it stops momentarily and then starts to move back to the left?

###### FREE Expert Solution

In this problem, we'll consider the motion solutions for the position, acceleration, and total energy.

Position:

$\overline{){\mathbf{x}}{\mathbf{=}}{\mathbf{A}}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{\left(}}{\mathbf{\omega }}{\mathbf{t}}{\mathbf{+}}{\mathbf{\varphi }}{\mathbf{\right)}}}$

Acceleration:

$\overline{){\mathbf{a}}{\mathbf{=}}{\mathbf{-}}{{\mathbf{\omega }}}^{{\mathbf{2}}}{\mathbf{A}}{\mathbf{\left(}}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{\omega }}{\mathbf{t}}{\mathbf{+}}{\mathbf{\varphi }}{\mathbf{\right)}}}$

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###### Problem Details

You are watching an object that is moving in SHM. When the object is displaced 0.600 m to the right of its equilibrium position, it has a velocity of 2.20 m/s to the right and an acceleration of 8.40 m/s2 to the left.

How much farther from this point will the object move before it stops momentarily and then starts to move back to the left?

Frequently Asked Questions

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 Pickett's class at Abilene Christian University.