As long as the system has no energy loss, the mass continues to oscillate. Thus simple harmonic motion is
a type of periodic motion
. If energy is lost in the system, then the mass exhibits damped oscillation.
Why all periodic motions are not simple harmonic motions?
Earth repeats it’s motion after fixed interval so we call it periodic motionbut there is no restoring force so we can’t call it s.h.m. If
a particle moves such that it repeats its path regularly after equal intervals of time
, it’smotion is said to be periodic.
Why are motions that are exactly simple harmonic rare?
Answer and Explanation: Simple harmonic motion is rare
because in nature the frictional forces are not negligible and bodies that move in an oscillatory manner decrease their amplitude in their interaction with the air that surrounds them
. Simple harmonic movement is characterized by having a constant amplitude.
What makes something simple harmonic motion?
simple harmonic motion, in physics, repetitive movement back and forth through an equilibrium, or central, position, so that
the maximum displacement on one side of this position is equal to the maximum displacement on the other side
. The time interval of each complete vibration is the same.
What is the time period of simple harmonic motion?
Since simple harmonic motion is a periodic oscillation, we can measure its period (
the time it takes for one oscillation
) and therefore determine its frequency (the number of oscillations per unit time, or the inverse of the period).
What are the two criteria for simple harmonic motion?
What conditions must be met to produce SHM?
The restoring force must be proportional to the displacement and act opposite to the direction of motion with no drag forces or friction
. The frequency of oscillation does not depend on the amplitude.
Does all periodic motions are SHM?
Assertion : Every periodic
motion is not simple harmonic motion
. Reason : The motion governed by the force law F = – kx is simple harmonic.
What is the difference between periodic motion and SHM?
Difference between Periodic and Simple Harmonic Motion
In the periodic motion,
the displacement of the object may or may not be in the direction of the restoring force
. In the simple harmonic motion, the displacement of the object is always in the opposite direction of the restoring force.
Is every oscillatory motion is SHM?
No
, not all oscillatory motion is simple harmonic motion. Oscillatory motion means that the motion is periodic.
What is simple harmonic motion and its characteristics?
Following are the main characteristics of simple harmonic motion: In simple harmonic motion,
the acceleration of the particle is directly proportional to its displacement and directed towards its mean position
. The total energy of the particle exhibiting simple harmonic motion is conserved. SHM is a periodic motion.
What is Omega in SHM?
Simple Harmonic Motion or SHM is defined as a motion in which the restoring force is directly proportional to the displacement of the body from its mean position. … The acceleration of a particle executing simple harmonic motion is given by, a(t) = -ω
2
x(t). Here, ω is
the angular velocity of the particle
.
Is a bouncing ball an example of simple harmonic motion?
A bouncing ball is
not an example of
SHM because the force exerted is not linearly proportional to the path of the ball (does not follow Hooke’s Law; Fs = -kx). The force on a bouncing ball does not increase as the distance increases, it stays constant.
Is T a period?
A time period (denoted by ‘T” ) is
the time taken for one complete cycle of vibration to pass a given point
. As the frequency of a wave increases, the time period of the wave decreases. The unit for time period is ‘seconds’.
What is Velocity in SHM?
Maximum and Minimum velocity
We know the velocity of a particle performing S.H.M. is given by,
v = ± ω √a
2
– x
2
.
At mean position, x = 0. Therefore, v = ± ω √a
2
– 0
2
= ± ω √a
2
= ± aω. Therefore, at mean position, velocity of the particle performing S.H.M. is maximum which is V
max
= ± aω.
Can simple harmonic motion takes place in non inertial frame?
Yes
. Simple harmonic motion can take place in a non-inertial frame. However, the ratio of the force applied to the displacement cannot be constant because a non-inertial frame has some acceleration with respect to the inertial frame.
What 3 conditions are required for simple harmonic motion?
What conditions must be met to produce SHM?
The restoring force must be proportional to the displacement and act opposite to the direction of motion with no drag forces or friction
. The frequency of oscillation does not depend on the amplitude.
