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WorksheetsOscillation and SHM
Total questions: 30
Worksheet time: 45mins
Convert from period to frequency.
4 sec = ______ Hz.
0.25 Hz
0.1 Hz
2 Hz
10 Hz.
Which of the following factors affects the period of a mass-spring system that is oscillating in SHM?
I. Mass II. Spring Constant
III. Amplitude
I only
II only
I and II only
II and III only
A certain mass-spring system oscillates with a period T.
A second mas-spring has 8 times the mass of the first, and twice as large of a spring constant as the first.
What is the period of the second spring?
T/4
T/2
2T
4T
A block is attached to a free end of an ideal horizontal spring. The system rests on a horizontal frictionless surface. When the block is pulled to the right, stretching the spring from its equilibrium, and released, the system starts oscillations. The horizontal position of the block as a function of time is shown above.
When does the spring exert its maximum force on the block?
0.0 s
2.0 s
4.0 s
8.0 s
A block of mass M is at rest on a frictionless horizontal surface and is attached to an ideal horizontal spring with force constant of 20 N/m. When set from rest into SHM, the spring's restoring force as a function of the block’s position is shown in the graph.
What is the spring-block elastic potential energy when it is at position B?
0.1 J
0.4 J
0.9 J
1.6 J
A block resting on a horizontal frictionless surface is attached to an ideal horizontal spring with spring constant of 30 N/m. The block-spring system is set into simple harmonic motion as shown.
What is the maximum elastic potential energy of this block-spring system?
0 J
120J
240J
480J
A student attaches a 0.6kg block to a vertical spring so that the block-spring system will oscillate if the block-spring system released from rest at a vertical position that is not the system’s equilibrium position. The velocity of the block as a function of time as the system oscillates, was graphed. The spring constant of the spring is most nearly
0.3 N/m
2.6 N/m
7.9 N/m
10.5 N/m
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.
Which of the following is the expression for the above graph?
x = 2 sin (2πt)
x = 2 cos (2πt)
x = 2 sin (0.5πt)
x = 10 sin (2πt)
Given an expression of x = 10 sin (0.25πt) where x in cm, t in second. Which of these answers are true?
the frequency is 0.125 Hz
the amplitude is 10 m
the angular frequency is 0.125 rad s-1
at t = 0, x = 10 cm
Which one is correct, in case of oscillation?
Displacement and restoring force are in the same direction.
Displacement is always away from mean position where as restoring force is always towards the mean position.
Displacement is always towards the mean position where as restoring force is always away from the mean position.
The direction of displacement and restoring force is random.
Which force (s) is (are) present in case of damped oscillation?
Restoring force
Damping force
Both restoring force and damping force.
Restoring force, damping force and external periodic force.
A body of mass 1 Kg, executing SHM having potential energy 0.72 J at the extreme position. If amplitude of oscillation is 30 cm then it's time period is
3.14 sec
0.0628 sec
0.1256 sec
1.57 sec
The total energy of 1-d simple harmonic oscillator is 1.2 erg. What is it's potential energy and kinetic energy at mean position respectively.
0.6 erg and 0.6 erg
0 and 1.2 erg
1.2 erg and 0
0.2 erg and 1 erg
Two simple harmonic oscillators of mass 12 gram and 48 gram oscillate separately under the action same restoring force. The ratio of their frequencies is
2:1
1:2
4:1
1:4
The displacement of 1-d simple harmonic oscillator of mass 10 gram is as shown in the image. The maximum kinetic energy of the oscillator is
3.6 unit
7.2 unit
10.8 unit
11.25 unit
