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For a particle of mass executing SHM with angular frequency and amplitude
PHYSICS · Single correct · CBSE · Physics · Oscillations · Oscillations
Problem
For a particle of mass
m
m
m
executing SHM with angular frequency
ω
\omega
ω
and amplitude
A
A
A
, which expression gives its kinetic energy
K
K
K
when its instantaneous displacement from equilibrium is
x
x
x
? (a)
1
2
m
ω
2
x
2
\dfrac{1}{2} m\omega^{2}x^{2}
2
1
m
ω
2
x
2
(b)
m
ω
2
(
A
2
−
x
2
)
m\omega^{2}\bigl(A^{2}-x^{2}\bigr)
m
ω
2
(
A
2
−
x
2
)
(c)
1
2
m
ω
2
(
A
2
−
x
2
)
\dfrac{1}{2} m\omega^{2}\bigl(A^{2}-x^{2}\bigr)
2
1
m
ω
2
(
A
2
−
x
2
)
(d)
1
2
m
ω
2
(
A
2
+
x
2
)
\dfrac{1}{2} m\omega^{2}\bigl(A^{2}+x^{2}\bigr)
2
1
m
ω
2
(
A
2
+
x
2
)
Related theory
SHM Energy
Energy in simple harmonic motion
Simple harmonic motion
Oscillations
Energy in SHM
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