Fundamental Physics/Motion/Oscillation/Spring oscillation

Spring vertical oscillation

Spring vertical oscillation represents movement up and down of an object hook on spring about an equilibrium point over a period of time

F_{a}=-F_{y}

ma=-ky

a=-{\frac {k}{m}}y

{\frac {d^{2}}{dt^{2}}}y=-{\frac {k}{m}}y

y=A\sin \omega t

\omega ={\sqrt {\frac {k}{m}}}=\lambda f

Spring horizontal oscillation represents movement side by side of an object hook on spring about an equilibrium point over a period of time

F_{a}=-F_{x}

ma=-kx

a=-{\frac {k}{m}}x

{\frac {d^{2}}{dt^{2}}}x=-{\frac {k}{m}}x

x=A\sin \omega t

\omega ={\sqrt {\frac {k}{m}}}=\lambda f

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