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Physics
Physics
Problem
Which one of the following gives the total mechanical energy of a particle executing simple harmonic motion of mass
m
m
m
, angular frequency
ω
\omega
ω
and amplitude
A
A
A
? a)
E
=
1
4
m
ω
2
A
2
E=\dfrac14\,m\,\omega^{2}\,A^{2}
E
=
4
1
m
ω
2
A
2
b)
E
=
1
2
m
ω
2
A
2
E=\dfrac12\,m\,\omega^{2}\,A^{2}
E
=
2
1
m
ω
2
A
2
c)
E
=
m
ω
2
A
2
E=m\,\omega^{2}\,A^{2}
E
=
m
ω
2
A
2
d)
E
=
1
2
m
ω
2
A
2
sin
2
ω
t
E=\dfrac12\,m\,\omega^{2}\,A^{2}\sin^{2}\omega t
E
=
2
1
m
ω
2
A
2
sin
2
ω
t
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