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A block attached to a light spring performs SHM with where
PHYSICS · Subjective · CBSE · Physics · Oscillations · Oscillations
Problem
A block attached to a light spring performs SHM with
x
(
t
)
=
A
cos
(
ω
t
+
ϕ
)
x(t)=A\cos(\omega t+\phi)
x
(
t
)
=
A
cos
(
ω
t
+
ϕ
)
where
ω
=
4.0
rad s
−
1
\omega = 4.0\,\text{rad s}^{-1}
ω
=
4.0
rad s
−
1
. At
t
=
0
t = 0
t
=
0
, its displacement is
−
0.040
m
-0.040\,\text{m}
−
0.040
m
and its velocity is
+
0.20
m s
−
1
+0.20\,\text{m s}^{-1}
+
0.20
m s
−
1
. Calculate: (i) the amplitude
A
A
A
, and (ii) the phase constant
ϕ
\phi
ϕ
in the range
0
<
ϕ
<
2
π
0<\phi<2\pi
0
<
ϕ
<
2
π
.
Related theory
Oscillatory Motion Foundations
SHM Kinematics
Oscillations
Velocity and acceleration in SHM
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