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Oscillations
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Velocity and Acceleration in SHM
Velocity and Acceleration in SHM
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Velocity and Acceleration in SHM
Example
Definitions
Formulaes
Graphical Representation of Displacement, Velocity and Acceleration
Example
Definitions
Formulaes
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Velocity and Acceleration in terms of Displacement
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Velocity and Acceleration in SHM
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Velocity and Acceleration in SHM - Problems L1
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Graphical representation of Displacement, Velocity and Acceleration
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Important Questions
A body oscillates with SHM according to the equation
$x=5.0cos(2πt+π)$
. At time
$t=1.5s$
, 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
$3cm$
. When the particle is at
$2cm$
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=2a $
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
$4v_{2}=25−x_{2}$
, then its time period is :
Medium
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>
Two simple harmonic motions are represented by the equations
$y_{1}=0.1sin(100πt+3π )$
and
$y_{2}=0.1cosπt$
. 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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>
A particle performs simple harmonic motion with amplitude A. Its speed is tripled at the instant that it is at a distance
$32A $
from equilibrium position. The new amplitude of the motion is.
Hard
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>
The maximum velocity of a particle, executing simple harmonic motion with an amplitude
$7mm$
, is
$4.4m/s$
. The period of oscillation is
Medium
JEE Mains
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>
The
$x−t$
graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at
$t=34 s$
is
Hard
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>