Plotting a graph of accelleration agains displacement (x)

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SUMMARY

This discussion focuses on plotting a graph of acceleration against displacement for a mass-spring system. The mass of 0.3 kg is suspended from a spring with a stiffness of 200 N/m. Key calculations include the frequency of vibration using the formula f = 1/2π√(k/m), maximum velocity (Vmax = Aω), and maximum acceleration (a = Aω²). The user successfully resolved the challenge of plotting the graph after seeking guidance on the necessary formulas.

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Plotting a graph of acceleration agains displacement (x)

A mass of 0.3kg suspended from a spring of stiffness 200Nm-1. If the mass is displaced by 10mm from its equilibrium position and released calculate:

A) frequency of vibration

B) max velocity

C) max acceleration

D) mass required to produce double the maximum velocity but using the same amplitude

E) plot a graph of acceleration against displacement (x) (for values of x from x= -10mm to x= 10mm


A) f=1/2∏*√k/m

B) Vmax=A*ω

C) a=A*ω^2

D) i doubled Vmax then used ω=Vmax/A
Then m=k/ω^2

E) i have no idea

I am not after the answers as such but just a nudge in the right direction, i don't even know where to start on this or what formulae to use... I only need assistance with calculating point E)
 
Last edited:
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Its ok i managed to work it out thanks guys! ;)
 

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