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## Homework Statement

A mass of 0.3kg is suspended from a spring of stiffness 200Nm. If the mass is displaced by 10mm from it's equilibrium position and released, for the resulting vibration calculate:

a) the frequency of vibration

b) the maximum velocity of the mass during the vibration

c) the maximum acceleration of the mass during the vibration

d) the mass required to produce double the maximum velocity calculated using the same spring and initial deflection.

## Homework Equations

w=√k/m

f=w/2Л

x=Asin(wt+Ø)

v=Aw cos(wt+Ø)

a=Aw² sin(wt+Ø)

## The Attempt at a Solution

I have used w=√k/m to get w=√200/0.3 w=25.81 rads-1

The used f=w/2Л to get f=25.81/2x3.142 f=4.108 Hz

So i am ok working out the frequency of the vibration but i do not understand how to use the remaining equations to get the next answers, i'm not following the process. I'm not asking for answers here, just for someone to help me understand what i need to do to use these and achieve my answers.

Can anyone help me? Thank you in advance for any responses.

Daniel