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#### alane1994

##### Active member

- Oct 16, 2012

- 126

Here is my problem verbatim.

For this, these are the things that I have been able to determine:

\(m=100~\text{grams}\)

\(\gamma=0\)

And I believe that we would use Newton's Law?

\(mu^{\prime\prime}(t)+\gamma u^{\prime}(t)+ku(t)=F(t)\)

And we would need initial conditions right?

\(u(0)=~?\\

u^{\prime}(0)=-10cm/s\)

I am rather stumped...

EDIT:

Would \(u(0)=5\)?

*\(u\)*

A mass weighing 100g stretches a spring 5cm. If the mass is set in motion from its equilibrium position with a downward velocity of 10cm/s, and if there is no damping, determine the positionA mass weighing 100g stretches a spring 5cm. If the mass is set in motion from its equilibrium position with a downward velocity of 10cm/s, and if there is no damping, determine the position

*of the mass at any time*\(t\)*. When does the mass first return to its equilibrium position?*For this, these are the things that I have been able to determine:

\(m=100~\text{grams}\)

\(\gamma=0\)

And I believe that we would use Newton's Law?

\(mu^{\prime\prime}(t)+\gamma u^{\prime}(t)+ku(t)=F(t)\)

And we would need initial conditions right?

\(u(0)=~?\\

u^{\prime}(0)=-10cm/s\)

I am rather stumped...

EDIT:

Would \(u(0)=5\)?

Last edited: