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WorksheetsSHM 24/25
Total questions: 43
Worksheet time: 32mins
When is a pendulum in simple harmonic motion?
Never
All the time
only at large angles
only at small angles
When is the pendulum at maximum velocity
At its lowest point
At its highest point
It moves at a constant velocity
It is at rest
What is the definition of SHM?
periodic motion without loss of energy in which the acceleration of a body is directly proportional to its displacement and is directed towards the equilibrium position but in opposite direction of the displacement.
periodic motion without loss of energy in which the acceleration is directly proportional to its velocity and is directed towards the equilibrium position but in opposite direction of the velocity.
periodic motion without loss of energy in which the acceleration of a body is inversely proportional to its displacement
periodic motion without loss of energy in which the angular frequency is directly proportional to its displacement and is directed towards the equilibrium position but in opposite direction of the displacement.
Position at which the body would come to rest if it were to lose all of its energy refers to
equilibrium position
maximum displacement / amplitude
periodic position
good position
The number of cycles or oscillation made in one second is defined as
time taken
period
frequency
amplitude
The acceleration of a particle in SHM is:
always zero
always constant
maximum at amplitude
maximum at the equilibrium position
Which of the following equation represent the displacement of SHM:
x= A tan ωt
x= A sin ωt
x= A sin ωt cos kx
x= A sin (ωt ± kx)
The variation of the acceleration, a of a particle executing SHM with displacement, x is as shown in figure:
When does the mass move at maximum velocity in a mass-spring system?
At equilibrium
At the farthest point from the equilibrium
At its hightest point
At its lowest point
What are the two requirements for a simple harmonic oscillator?
The object vibrates about the equilibrium point and the restoring force is proportional to the displacement
The object moves left to right and the restoring force is proportional to the displacement
The object vibrates about the equilibrium and the restoring force is greater than the displacement
The object moves left to right and the restoring force is greater than the displacement
When is the pendulum at 0 velocity
At its lowest point
At its highest point
It moves at a constant velocity
It is at rest
The number of cycles or oscillation made in one second is defined as
time taken
period
frequency
amplitude
Let y be the displacement, t the time and n a positive number. Which of the following equations does not represent a simple harmonic motion?
y = n sin 2t
y2 = sin nt
y = 2 sin2 nt
d2y/dt2 + ny = 0
Which of the following statements is NOT TRUE about an object undergoing simple harmonic motion at maximum displacement?
Its speed is maximum
Its acceleration is maximum
Its kinetic energy is minimum
Its potential energy is maximum
The amplitude and period in a SHM is 0.5 m and 0.4 s respectively. The equation of SHM will be:
y=0.5 sin 5πt
y=0.5 sin 4πt
y=0.5 sin 2.5πt
y=0.5 sin 0.8πt
The variation of the acceleration, a of a particle executing SHM with displacement, x is as shown in figure:
Which of the following equation represent the displacement of SHM:
x= A tan ωt
x= A sin ωt
x= A sin ωt cos kx
x= A sin (ωt ± kx)
What are the two requirements for a simple harmonic oscillator?
The object vibrates about the equilibrium point and the restoring force is proportional to the displacement
The object moves left to right and the restoring force is proportional to the displacement
The object vibrates about the equilibrium and the restoring force is greater than the displacement
The object moves left to right and the restoring force is greater than the displacement
Define Simple Harmonic Motion
direction of acceleration is opposite direction of displacement
direction of acceleration is same direction of displacement
distance travel by the oscillating object from the equilibrium position
A periodic motion in which its acceleration is directly proportional to its displacement from the equilibrium position and is directed towards the equilibrium position.
Which one of the following statements is true when an object performs simple harmonic motion about a central point O?
The acceleration is always away from O
The acceleration and velocity are always in opposite directions.
The acceleration and the displacement from O are always in the same direction.
The graph of acceleration against displacement is a straight line.
The "period" is
the time that it takes a complete cycle or wave oscillation to occur.
the number of cycles or vibrations per unit of time.
the rate of vibration within a wave pattern.
Define amplitude.
maximum displacement from equlibrium position
total displacement
maximum distance from where the object is released
Definition of SHM:
A body is in simple harmonic motion
if its acceleration, a is inversely
proportional to its displacement, x
from a fixed point and is always
directed towards that fixed point.
False
True
A good example of SHM is an object with mass m attached to a spring on a frictionless surface.
False
True
If extension, x is to the right,
then force, F acts to the left so
as to shorten the spring.
False
True
Mia is swinging on a swing set in the park. What is Simple Harmonic Motion (SHM) as it relates to her swinging?
Any motion that does not return to its starting point.
Simple Harmonic Motion (SHM) is periodic motion where the restoring force is proportional to the displacement from equilibrium.
Motion that occurs in a straight line only.
A type of motion that is always accelerating.
The acceleration in SHM is
Always zero
Always constant
Maximum at amplitude
Maximum at the mean position
What is the period of an oscillator?
A type of punctuation at the end of a sentence.
The amount of time it takes an oscillator to complete a cycle.
The number of cycles an oscillator completes in 1 second.
The amount of time it takes for an oscillator to stop moving.
What is the frequency of an oscillator?
The amount of time it takes for an oscillator to complete 1 cycle.
The amount of time it takes for an oscillator to stop oscillating.
The number of cycles an oscillator moves per second.
The number you tune your radio to to listen to a certain station.
The common unit for frequency is the
second ( s ).
Hertz ( Hz ).
meter ( m ).
Newton ( N ).
According to the graph, what is the amplitude of this oscillation?
1 m
2 m
1 s
2.2 s
