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F
a
+
F
x
=
0
{\displaystyle F_{a}+F_{x}=0}
F
=
−
F
x
{\displaystyle F=-F_{x}}
m
a
=
−
k
x
{\displaystyle ma=-kx}
a
=
−
k
m
x
{\displaystyle a=-{\frac {k}{m}}x}
d
2
d
t
2
x
(
t
)
=
−
k
m
x
(
t
)
{\displaystyle {\frac {d^{2}}{dt^{2}}}x(t)=-{\frac {k}{m}}x(t)}
x
(
t
)
=
A
sin
ω
t
{\displaystyle x(t)=A\sin \omega t}
ω
=
k
m
{\displaystyle \omega ={\sqrt {\frac {k}{m}}}}