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?