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Class 11
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Oscillations
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Velocity and Acceleration in SHM
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Velocity and Acceleration in terms of Di...
Velocity and Acceleration in terms of Displacement
13 Mins
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Velocity and Acceleration in SHM
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Velocity and Acceleration in SHM
2 mins
Important Questions
A body oscillates with SHM according to the equation
x
=
5
.
0
c
o
s
(
2
π
t
+
π
)
. At time
t
=
1
.
5
s
, its displacement, speed and acceleration respectively is:
Medium
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>
A particle is executing SHM along a straight line. Its velocities at distances
x
1
and
x
2
from the mean position are
V
1
and
V
2
, respectively. Its time period is:
Medium
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>
A particle executes linear simple harmonic motion with an amplitude of
3
c
m
. When the particle is at
2
c
m
from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is
Medium
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>
A simple pendulum performs simple harmonic motion about
x
=
0
with an amplitude
′
a
′
and time period
′
T
′
. The speed of the pendulum at
x
=
2
a
will be:
Medium
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>
A particle is executing a simple harmonic motion. Its maximum acceleration is
α
and maximum velocity is
β
. Then, its time period of vibration will be:
Medium
NEET
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>
If the displacement (x) and velocity (v) of a particle executing S.H.M. are related through the expression
4
v
2
=
2
5
−
x
2
, then its time period is :
Medium
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>
The
x
−
t
graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at
t
=
3
4
s
is
Hard
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>
A particle performs simple harmonic motion with amplitude A. Its speed is tripled at the instant that it is at a distance
3
2
A
from equilibrium position. The new amplitude of the motion is.
Hard
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>
Two simple harmonic motions are represented by the equations
y
1
=
0
.
1
sin
(
1
0
0
π
t
+
3
π
)
and
y
2
=
0
.
1
cos
π
t
. The phase difference of the velocity of particle
1
with respect to velocity of particle
2
at
t
=
0
is
Medium
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>
The maximum velocity of a particle, executing simple harmonic motion with an amplitude
7
m
m
, is
4
.
4
m
/
s
. The period of oscillation is
Medium
JEE Mains
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>