Physics 105 Reading Assignments: Wave unit - Giancoli, 6th edition
Chapter 11 – Vibrations and Waves
Assignment 1 – Refer to Section 11.1 – Simple Harmonic Motion
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Write out the definition for periodic motion.
Give at least one example of a system which displays periodic motion.
What is the condition defining a restoring force?
Write out equation 11-1 (Hooke’s Law). Define all variables with appropriate units.
Why is there a negative in the equation?
Graphically what does this relationship imply?
What can be said about the restoring force & the external force required to extend/compress the
spring? (Hint: Newton’s laws)
Fill in the blanks: The maximum __________ - the greatest distance from the __________ point –
called the _________.
Fill in the blanks: One ______ refers to the __________ to and fro motion from some initial point back
to that ______ point.
Write out the definition for period, T.
Write out the definition for frequency, f. What units is f in?
What is the relationship between Period & frequency?
Fill in the blanks: Any __________ system for which the __________ force is directly ________ to the
negative of the ________ is said to exhibit __________________. Such a system is often called a
______________________.
Does the period of a Simple harmonic oscillator depend on the amplitude of motion? (Hint: see p. 292)
Complete Exercise A, Read Example 11-1 and Conceptual Example 11-2
Assignment 2– Refer to Sections 11.5 & 11.6 – Damped Harmonic Motion & Resonance
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Is simple harmonic motion damped or undamped motion?
What would be the necessary condition for an oscillating system to be a true SH oscillator?
Sketch Figure 11-15 & label each curve.
Write out the conditions distinguishing underdamped, overdamped and critically damped motion.
Fill in the blanks: When a vibrating system is set into motion, it _________ at its __________ frequency.
How does one create a forced vibration?
Fill in the blanks: The natural vibrating frequency of a system is also called its _______________.
What happens to the amplitude of motion of a vibrating system when the driving frequency is
approximately equal to a system’s resonant frequency (if there is little dampening)?
9. Can an oscillating system have more than one resonant frequency?
Assignment 3 – Refer to Section 11.7 – Wave Motion
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Draw Figure 11-21 including captions and read Conceptual Example 11-10.
Fill in the blank: Waves carry __________ from one placed to another.
What is a pulse?
What is another name for a periodic wave?
What is the source of any wave?
If the source of a wave is sinusoidal, what shape is the corresponding wave in space? In time?
Draw Figure 11-23 including captions.
What is referred to as the crest of a wave?
What is referred to as the trough of a wave?
Where is the amplitude of a wave measured from? In what units?
Where is the wavelength of a wave measured from? In what units?
What units is the frequency of a wave measured in?
What is the relationship between the frequency and period of a wave?
Write out Equation 11-12. Define all variables with appropriate units.
Assignment 4 – Refer to Section 11.8 – Types of Waves: Transverse and Longitudinal
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What is the direction of particle motion in comparison to wave motion in a transverse wave?
Give an example of a transverse wave?
What is the direction of particle motion in comparison to wave motion in a longitudinal wave?
Give an example of a longitudinal wave?
How would you describe a compression region in a longitudinal wave?
How would you describe an expansion region in a longitudinal wave?
What is another name for the expansion region in a longitudinal wave?
Where is the wavelength of a wave measured from on a longitudinal wave?
How is frequency measured on a longitudinal wave?
Is Equation 11-12 valid for both transverse and longitudinal waves?
Can transverse waves travel through a solid? Through a liquid? Through a gas?
Can longitudinal waves travel through a solid? Through a liquid? Through a gas?
Are there other types of waves besides transverse and longitudinal?
Assignment 5 – Refer to Section 11.7 (Again) – Wave Motion (Speed of a wave in a string)
1. Write out Equation 11-13. Define all variables with appropriate units.
2. What type of wave is drawn in Figure 11-21?
3. Is the wave traveling in a stretched rope a one-dimensional, two-dimensional or three- dimensional
wave? (Hint: Refer to Section 11.8, last paragraph)
4. Read Example 11.11.
Assignment 6 – Refer to Section 11.11 – Reflection and Transmission of Waves
1. What is the orientation of the reflected pulse when an incoming pulse hits a rigid boundary? (Hint:
Refer to Figure 11-32a)
2. What is the orientation of the transmitted pulse when an incoming pulse hits a rigid boundary? (Hint:
Refer to Figure 11-33a)
3. What is the orientation of the reflected pulse when an incoming pulse hits a non-rigid boundary? (Hint:
Refer to Figure 11-32b)
4. What is the orientation of the transmitted pulse when an incoming pulse hits a non-rigid boundary?
(Hint: Refer to Figure 11-33b)
5. Consider a discontinuity between two media (light to heavy). We will discuss the following in class.
a. What can be said about the amount of energy transmitted into the heavier media?
b. What can be said about the frequency of the transmitted wave?
c. What can be said about the wave speed of the transmitted wave? Does this coincide with
Equation 11-13?
d. What can be said about the wavelength of the transmitted wave? Does this coincide with
Equation 11-12?
e. What can be said about the frequency of the reflected wave?
f. What can be said about the wave speed of the reflected wave? Does this coincide with
Equation 11-13?
g. What can be said about the wavelength of the reflected wave? Does this coincide with
Equation 11-12?
Assignment 7 – Refer to Section 11.12 – Interference: Principle of Superposition
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What is interference?
What does the Principle of Superposition mean mathematically?
If waves are “in phase” will they interfere constructively or destructively?
If waves are “out phase” will they interfere constructively or destructively?
Under what condition(s) do waves partially interfere?
Does destructive interference mean that the Conservation of Energy is violated?
When waves interfere what happens to the energy of the waves?
Are the individual waves destroyed during interference?
Does the phenomenon of interference only work for water waves?
NOTE: the Interference phenomenon of beats will be discussed in the next chapter.
Assignment 8 – Refer to Section 11.13 – Standing Waves (in a string): Resonance
1. Write out Equations 11-12 and 11-13. Define all variables with appropriate units.
2. If two traveling waves interfere constructively to create a resultant wave, why is it called a “standing
wave”?
3. Are “nodes” positions of constructive or destructive interference?
4. Are “antinodes” positions of constructive or destructive interference?
5. In a string fixed at both ends where could you definitely find node positions?
6. Can standing waves in a string be produced at any frequency?
7. How many standing wave patterns can be created in an individual string?
8. What is the fundamental frequency of a system? Is this a resonant frequency?
9. What is a harmonic frequency? Is this a resonant frequency?
10. What is the first overtone frequency equivalent to?
11. Write out Equations 11-19a) and 11-19b). Define all variables with appropriate units.
12. What other equation could you use to calculate the ‘v’ in Equation 11-19b?
13. Draw Figure 11-40 b) with captions.
14. Are standing waves only produced in strings under tension?
15. Read Example 11.14.