- #1
alane1994
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Here is my problem verbatim.
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 position \(u\) 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 \(u(0)=5\)?
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 position \(u\) 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: