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Review of Oscillations
Physics
Study Guide
Terms and Formulae
Further Study
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Further Reading
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1. What is the name of the force that causes oscillatory motion?
Damping Force
Driving Force
Restoring Force
Oscillating Force
2. An oscillating system is one in which a particle or set of particles
Move back and forth
Move in a circle
Move with constant velocity
Move with constant acceleration
3. What is always true of an equilibrium point of an oscillating system?
The velocity is always zero
No net force acts on the system
The velocity is always a minimum
The energy is always a maximum
4. Periodic motion is motion in which
An object moves in a circle
An object moves with constant velocity
An object moves with constant acceleration
An object returns to its initial position at some later time
5. Which of the following is NOT periodic motion?
A mass oscillating on a spring
Projectile motion
A swinging pendulum
A planet orbiting the sum
6. Period is defined as
The distance traveled in one oscillation
The time it takes to travel one oscillation
The average velocity over one oscillation
The maximum displacement of an oscillation
7. How is frequency of oscillation related to period?
ν
= 2
ΠT
ν
=
ν
=
ν
=
8. What are the units of frequency?
Seconds
m/s
Hertz
Joules
9. What is the relation between angular frequency and period?
σ
= 2
ΠT
σ
=
σ
=
σ
=
10. The amplitude of oscillation is defined as
The position of the equilibrium point
The maximum displacement of the oscillating particle
The maximum velocity of the oscillating particle
The maximum acceleration of the oscillating particle
11. An oscillation is harmonic if
The oscillation has a constant period
The restoring force varies with
sin
x
The restoring force varies with
x
The restoring force varies with
x
^{2}
12. Which of the following does not exhibit simple harmonic motion?
A mass on a spring
A pendulum
A torsional oscillator
All exhibit simple harmonic motion
13. What is angular frequency of a mass-spring system with mass 2 kg and spring 8 kg?
2
4
1
8
14. The position of a particle in simple harmonic motion varies with
t
t
^{2}
kt
cos(
σt
)
15. Two identical mass-spring systems are set up side by side. Mass 1 is displaced a distance of 1 m, while mass 2 is displaced a distance of 2 m. What can be said about the periods of each system?
Mass 2 has a period twice a large as mass 1
They have the same period
Mass 1 has a period twice as large as mass 2
Mass 2 has a period four times as large as mass 1
16. What differential equation describes the motion of a mass on a spring?
+
kx
= 0
+
x
= 0
+
x
= 0
+
mx
= 0
17. At which point is the acceleration of a simple harmonic system maximum?
x
= 0
x
=
x
_{m}
x
=
x
=
σ
18. In simple harmonic motion, acceleration differs in magnitude from displacement by a factor of
x
_{m}
t
cos(
σt
)
σ
^{2}
19. How is potential energy defined for a mass-spring system?
U
=
mkx
U
=
mx
^{2}
U
=
kx
^{2}
U
=
kx
^{2}
20. At what point does a simple harmonic system have the maximum kinetic energy?
x
= 0
x
=
x
_{m}
x
=
x
=
σ
21. At what point does a simple harmonic system have the maximum potential energy?
x
= 0
x
=
x
_{m}
x
=
x
=
σ
22. A mass of 4 kg is oscillating on a spring with constant 1 N/m. It's maximum velocity is 3 m/s. What is its amplitude?
12 m
6 m
4 m
2 m
23. In a torsional oscillator the torque exerted by the wire is proportional to
Displacement
Angular displacement
Velocity
Angular velocity
24. The period of a torsional oscillator is given by
T
= 2
Π
T
= 2
Π
T
= 2
Π
T
= 2
Π
25. Using a torsional oscillator we can calculate
The mass of a given body
The moment of inertia of a given body
The gravitational acceleration
The maximum tension in the wire
26. The net force on a pendulum is proportional to
θ
x
sin
θ
σ
27. At small angles,
sin
θ
is approximately equal to
cos
θ
x
sin
x
θ
28. The period of a pendulum depends on
The mass of the particle on the pendulum
The length of the pendulum
The length of the pendulum and the gravitational acceleration
The initial angular displacement of the pendulum
29. A pendulum can be used to calculate
The mass of a given body
The moment of inertia of a given body
The gravitational acceleration
The maximum tension in the wire
30. The period of a pendulum is given by
T
= 2
Π
T
= 2
Π
T
=
T
= 2
Π
31. Simple harmonic motion can be described as
Uniform Circular Motion
The one dimensional projection of uniform circular motion
The one dimensional projection of projectile motion
The one dimensional projection of elliptical motion
32. A simple harmonic system and a particle moving in uniform circular motion have the same period. What can be said relating these two motions?
The velocities of each system is the same
Each system always experiences the same net force
Each system has the same maximum displacement
The angular frequency of the oscillating system is the same as the angular velocity of the rotational system
33. The net force felt by a pendulum can be approximated by
F
= -
mgLx
F
= -
x
F
= -
mLx
F
= -
mgL
sin
θ
34. A force which causes an oscillating system to slow down is called a
Restoring force
Driving force
Damping force
None of the above
35. Damping forces must be proportional to
The displacement of the system
The velocity of the system
The acceleration of the system
They must be constant
36. The angular frequency of a damped system must relate to the angular frequency of the corresponding simple harmonic system in what way?
They must be equal
The frequency of the damped system must be larger
The frequency of the simple harmonic system must be larger
Not enough information
37. The amplitude of a damped system
Decreases exponentially
Decreases linearly
Increases exponentially
Remains constant
38. The frequency of a damped system
Decreases exponentially
Decreases linearly
Increases exponentially
Remains constant
39. A mass of 2 kg on a spring of constant 4 N/m experiences a damping force with constant
b
= 4
. What is the angular frequency of the system?
1
2
4
8
40. The average velocity of a damped system
Decreases
Increases
Can either increase or decrease
Remains constant
41. The motion of an oscillating system subjected to an external force is called
Damped oscillation
Forced oscillation
Harmonic motion
Periodic motion
42. Resonance occurs when
The amplitude of the oscillating system increases rapidly
The frequency of the driving force is the same as the natural frequency of the system
The amplitude of the oscillating system decreases rapidly
The amplitude of the oscillating system remains constant, even though a driving force is applied
43. Resonance occurs in a system with no damping when
The amplitude remains constant
The frequency of the driving force is the same as the natural frequency of the system
The driving force is constant
The driving force increases exponentially
44. What kinds of objects have natural frequencies?
Only oscillating objects
Only harmonically oscillating objects
Only simple harmonically oscillating objects
Any object
45. The rising and falling of tides are an example of
Damped oscillation
Forced oscillation
Simple harmonic motion
A massive government conspiracy to confuse sailors
46. Which of the following is NOT an example of a damping force?
Air resistance
Kinetic Friction
Both are damping forces
Neither are damping forces
47. In which system is mechanical energy conserved?
Damped system
Simple harmonic system
Forced system
All of the above
48. Which of the following systems maintain a constant frequency?
Damped system
Simple harmonic system
Both systems maintain constant frequency
None of the above
49. Why is uniform circular motion not considered an oscillation?
It does not move "back and forth"
It does not have a restoring force
It does not have an equilibrium point
All of the above
50. At what point in a damped oscillation is the mechanical energy maximum
After the first oscillation
At the final position of the system
At the initial position of the system
Energy is constant in damped oscillation
Next section
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