(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A particle moves with SHM in a straight line.

In the first second after starting from rest,it travels a distance of 1m in a constant direction.

In the next second, it travels a distance of 2m in the same direction.

Find its maximum acceleration

2. Relevant equations

x=acos(ωt)

[itex]\dot{x}[/itex]=-ω√(a^{2}-x^{2})

[itex]\ddot{x}[/itex]=-ω^{2}x

3. The attempt at a solution

Starting from rest ∴ when [itex]\dot{x}[/itex]=0, x=a, [itex]\ddot{x}[/itex]=maximum.

maximum [itex]\ddot{x}[/itex]=-ω^{2}x

maximum amplitude = 1.5

∴ amplitude [itex]\geq[/itex]1.5

After many more lines of work, no solution was able to be found.

Can someone help?

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# Homework Help: Simple Harmonic Motion Question

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