1
Q
Standing Waves on a String
A
- A string that is fixed at both ends can only support standing waves of certain wavelengths and frequencies.
- The wavelength of the nth normal mode of a string must satisfy the equation .
- The normal mode with the longest allowable wavelength is called the first harmonic, or the fundamental. The second harmonic has half the wavelength and twice the frequency, and the third harmonic has one-third the wavelength and three times the frequency.
2
Q
The F string on a guitar is out of tune. How do you adjust the frequency of the string to tune the guitar?
A
Adjust the tension
3
Q
The fundamental frequency of a guitar string is 220 Hz. Which of the following is the frequency of the fourth harmonic?
A
880 Hz
4
Q
Which of the following expressions gives the fundamental frequencies of a standing wave on a string of length L?
A
- f = nu/2L
- f = n(wavelength)/2LT
- f = nf1
5
Q
The figure shows a standing wave on a rope of length of L. Which of the following is the wavelength of the wave?
A
wavelength = 2/5L
6
Q
Suppose a standing wave is generated on a string of length L. If the string is fixed at each end, which of the following is the relationship between the nodes and antinodes?
A
There is always one more node than antinodes.
7
Q
How many nodes and antinodes are there in the standing wave shown in the figure?
A
five nodes; four antinodes
8
Q
The fundamental wavelength of a string that is fixed at both ends, also known as first harmonic, is smaller than all the other harmonics
A
false
9
Q
What is the required length for a string to have its third harmonic vibrate at 300 Hz at 600 m / s?
A
3 m
AP Physics C: Mechanics
flashcards
Decks in class (140)
# Cards
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1.1.1 Welcome to Physics5
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1.2.1 Physical Quantities and Units of Measurement14
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1.2.2 Unit Conversion and Dimensional Analysis11
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1.2.3 Uncertainty in Measurement and Significant Digits11
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1.3.1 The Basics of Vectors12
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1.3.2 Vector Components and Unit Vectors8
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1.4.1 The Scalar Product11
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1.5.1 The Vector Product3
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Unit 1 Practice Test18
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Unit 1 Test20
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2.1.1 Describing Motion11
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2.1.2 Displacement and Average Velocity11
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2.1.3 Understanding Instantaneous Velocity11
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2.1.4 Instantaneous Velocity and the Derivative11
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2.1.5 Acceleration10
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2.1.6 Another Look at Position, Velocity, and Acceleration11
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2.2.1 Describing Motion Under Constant Acceleration9
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2.2.2 Solving Problems Involving Motion Under Constant Acceleration10
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2.2.3 Free-Falling Objects11
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2.3.1 The Position and Velocity Vectors11
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2.3.2 The Acceleration Vector11
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2.3.3 Relating Position, Velocity, and Acceleration Vectors in Two Dimensions2
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2.4.1 A First Look at Projectile Motion11
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2.4.2 Understanding Projectile Motion10
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2.5.1 Describing Uniform Circular Motion9
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2.6.1 Understanding Relative Motion8
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Unit 2 Practice Test25
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Unit 2 Test25
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3.1.1 Newton's First Law10
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3.1.3 Introduction to Newton's Second Law10
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3.1.4 The Vector Nature of Force and Newton's Second Law10
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3.1.5 Weight9
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3.1.6 Actions, Reactions, and Newton's Third Law9
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3.2.1 Free-Body Diagrams10
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3.2.2 Solving Problems Using Newton's Laws: Ropes and Tension10
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3.2.3 Solving Problems Using Newton's Laws: Inclines and the Normal Force10
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3.3.1 Understanding the Frictional Force Between Two Surfaces8
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3.3.2 Problems on Friction and Inclines9
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3.3.3 Motion Through a Fluid: Drag Force and Terminal Speed10
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3.4.1 Forces and Uniform Circular Motion10
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3.4.2 Solving Circular Motion Problems9
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Unit 3 Practice Test25
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Unit 3 Test25
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4.1.1 The Work Done by a Constant Force in One Dimension9
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4.1.2 The Work Done by a Constant Force in Two Dimensions10
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4.1.3 The Work Done by a Variable Force10
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4.1.4 The Work Done by a Spring10
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4.2.1 The Work-Kinetic Energy Theorem8
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4.2.2 Solving Problems Involving Work and Kinetic Energy6
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4.2.3 Power10
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4.3.1 Work and Gravitational Potential Energy9
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4.3.2 Conservative and Nonconservative Forces10
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4.3.3 Calculating Potential Energy8
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4.4.1 Understanding Conservation of Mechanical Energy10
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4.4.3 Solving Problems Using Conservation of Mechanical Energy9
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4.4.4 Potential Energy Functions and Energy Diagrams8
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4.4.5 Work and Nonconservative Forces10
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4.4.7 Conservation of Energy in General10
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Unit 4 Practice Test25
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Unit 4 Test25
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5.1.1 Linear Momentum and Impulse8
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5.1.2 Solving Problems Using Linear Momentum and Impulse9
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5.1.3 Conservation of Momentum9
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5.1.4 Solving Problems Using Conservation of Momentum10
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5.1.5 Rocket Propulsion10
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5.2.1 Elastic Collisions in One Dimension8
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5.2.2 Inelastic Collisions in One Dimension10
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5.2.3 Collisions in Two Dimensions10
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Unit 5 Practice Test25
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Unit 5 Test25
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6.1.1 The Center of Mass of a System of Particles10
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6.1.2 The Center of Mass of a Rigid Body9
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6.1.3 The Center of Mass and the Motion of a System of Particles10
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6.2.1 Angular Displacement, Velocity, and Acceleration10
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6.2.2 Rotation with Constant Angular Acceleration9
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6.2.3 Relating Angular and Linear Quantities4
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6.3.1 The Kinetic Energy of Rotation10
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6.3.2 Calculating the Rotational Inertia of Solid Bodies9
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6.4.1 Torque8
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6.4.2 Newton's Second Law for Rotational Motion10
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6.4.3 Solving Problems Using Newton's Second Law for Rotational Motion10
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6.4.4 Work and Power in Rotational Motion9
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6.5.1 Understanding Rolling Motion10
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6.5.2 Solving Problems Involving Rolling Motion10
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6.6.1 The Definition of Angular Momentum10
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6.6.2 Torque and Angular Momentum9
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6.7.1 Understanding Conservation of Angular Momentum10
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6.7.3 Solving Problems Using Conservation of Angular Momentum10
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6.8.1 Understanding Precession8
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6.9.1 The Conditions for Static Equilibrium8
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6.9.2 Understanding Stable Equilibrium and the Center of Gravity9
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6.9.3 Solving Static Equilibrium Problems9
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Unit 6 Practice Test25
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Unit 6 Test24
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7.1.1 Newton's Law of Gravitation10
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7.1.2 Gravity on Earth9
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7.1.3 Weightlessness8
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7.1.4 Gravitational Potential Energy9
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7.2.1 Understanding Circular Orbital Motion10
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7.2.2 Kepler's Three Laws10
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7.2.3 Energy in Orbital Motion10
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Unit 7 Practice Test25
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Unit 7 Test25
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8.1.1 Fluids, Density, and Pressure10
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8.1.3 How Pressure Varies with Depth10
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8.1.7 Pascal's Principle and Examples of Hydrostatics9
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8.1.8 Buoyancy and Archimedes' Principle10
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8.2.1 Fluids in Motion: Streamlines and Continuity9
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8.2.2 Bernoulli's Equation10
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8.2.4 Fluids in the Real World: Surface Tension, Turbulence, and Viscosity10
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Unit 8 Practice Test25
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Unit 8 Test25
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9.1.1 Einstein's Postulates9
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9.1.2 The Relativity of Simultaneity10
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9.1.3 Time Dilation10
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9.1.4 Length Contraction10
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9.2.1 The Lorentz Transformation Equations10
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9.2.2 Solving Problems Using the Lorentz Transformations10
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9.3.1 Relativistic Momentum10
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9.3.2 Relativistic Energy10
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9.3.3 A Clock Story1
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Unit 9 Practice Test25
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Unit 9 Test25
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10.1.1 A Mass on a Spring: Simple Harmonic Motion10
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10.1.2 The Equations Describing Simple Harmonic Motion11
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10.1.3 Energy in Simple Harmonic Motion10
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10.2.1 The Simple Pendulum10
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10.2.2 Physical Pendulums5
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10.3.1 Damped Simple Harmonic Motion10
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10.3.2 Driven Oscillators10
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Unit 10 Practice Test25
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Unit 10 Test25
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11.1.1 Introduction to Waves10
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11.1.2 A Wave on a Rope: Frequency and Wavelength9
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11.1.3 A Wave on a Rope: Wave Speed10
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11.1.4 A Wave on a Rope: Energy and Power9
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11.2.1 Reflection, Transmission, and Superposition10
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11.2.2 Interference10
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11.3.1 Standing Waves: Two Waves Traveling in Opposite Directions7
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11.3.2 Standing Waves on a String9
