Question 1

What is the length L of a simple pendulum with the same period as a physical pendulum consisting of a hoop suspended at its rim?

Accepted Answer

A)  L =   R 
B)  L = 1/R 
C)    
D)  L = R 
E)  L = 2R 
A)  L =   R 
B)  L = 1/R 
C)    
D)  L = R 
E)  L = 2R

Question 2

A body of mass 5.0 kg moves in simple harmonic motion according to the equation
X = 0.040 sin(30t + $\pi$/6)
Where the units are SI. The maximum speed of this body is approximately

Accepted Answer

A)  0.013 m/s 
B)  0.40 m/s 
C)  0.60 m/s 
D)  1.2 m/s 
E)  30 m/s 
A)  0.013 m/s 
B)  0.40 m/s 
C)  0.60 m/s 
D)  1.2 m/s 
E)  30 m/s

Question 3

The energy of an oscillator decreases by 3% each cycle. The quality factor of this oscillator is approximately

Accepted Answer

A)  209 
B)  157 
C)  87 
D)  63 
E)  21 
A)  209 
B)  157 
C)  87 
D)  63 
E)  21

Question 4

In simple harmonic motion, the magnitude of the acceleration of a body is always directly proportional to its

Accepted Answer

A)  displacement. 
B)  velocity. 
C)  mass. 
D)  potential energy. 
E)  kinetic energy. 
A)  displacement. 
B)  velocity. 
C)  mass. 
D)  potential energy. 
E)  kinetic energy.

Question 5

A clock keeps accurate time when the length of its simple pendulum is L. If the length of the pendulum is increased a small amount, which of the following is true?

Accepted Answer

A)  The clock will run slow. 
B)  The clock will run fast. 
C)  The clock will continue to keep accurate time. 
D)  The answer cannot be determined without knowing the final length of the pendulum. 
E)  The answer cannot be determined without knowing the percentage increase in the length of the pendulum. 
A)  The clock will run slow. 
B)  The clock will run fast. 
C)  The clock will continue to keep accurate time. 
D)  The answer cannot be determined without knowing the final length of the pendulum. 
E)  The answer cannot be determined without knowing the percentage increase in the length of the pendulum.

Question 6

A particle is oscillating with simple harmonic motion. The frequency of the motion is
10 Hz and the amplitude of the motion is 5.0 cm. As the particle passes its central equilibrium position, the acceleration of the particle is

Accepted Answer

A)  100 cm/s2  
B)  1.6 $\times$ 105 cm/s2  
C)  4 $\times$ 106 cm/s2  
D)  zero 
E)  3.2 $\times$ 106 cm/s2  
A)  100 cm/s2  
B)  1.6 $\times$ 105 cm/s2  
C)  4 $\times$ 106 cm/s2  
D)  zero 
E)  3.2 $\times$ 106 cm/s2

Question 7

The mass on the end of the spring (which stretches linearly) is in equilibrium as shown. It is pulled down so that the pointer is opposite the 11-cm mark and then released. The mass experiences its maximum upward velocity at which of the following positions?

Accepted Answer

A)  3-cm mark 
B)  7-cm mark 
C)  1-cm mark 
D)  11-cm mark 
E)  None of these is correct. 
A)  3-cm mark 
B)  7-cm mark 
C)  1-cm mark 
D)  11-cm mark 
E)  None of these is correct.

Question 8

The graph shows the square of the period versus the length of a simple pendulum on a certain planet. The acceleration due to gravity on that planet is approximately

Accepted Answer

A)  0.100 m/s2  
B)  10.0 m/s2  
C)  3.95 m/s2  
D)  395 m/s2  
E)  0.628 m/s2  
A)  0.100 m/s2  
B)  10.0 m/s2  
C)  3.95 m/s2  
D)  395 m/s2  
E)  0.628 m/s2

Question 9

Use the following to answer question :  
-The graph shows the average power delivered to an oscillating system as a function of the driving frequency. According to these data

Accepted Answer

A)  the resonant frequency is greater than $\omega$o. 
B)  the system corresponding to curve 1 has the largest quality factor. 
C)  the system corresponding to curve 4 has the largest quality factor. 
D)  the resonant frequency is less than $\omega$o. 
E)  None of these is correct. 
A)  the resonant frequency is greater than $\omega$o. 
B)  the system corresponding to curve 1 has the largest quality factor. 
C)  the system corresponding to curve 4 has the largest quality factor. 
D)  the resonant frequency is less than $\omega$o. 
E)  None of these is correct.

Question 10

A thin test tube is partially filled with lead pellets so that it floats vertically in a fluid. Use Archimedes' Principle to calculate that if displaced slightly from its equilibrium position the test tube will undergo SHM in the vertical direction and derive how the time period is related to the density of the fluid.

Accepted Answer

A)  T proportional to $\rho$(liquid) 
B)  T proportional to $\rho$(liquid)1/2  
C)  T proportional to $\rho$(liquid)2  
D)  T proportional to $\rho$(liquid)-2  
E)  T proportional to $\rho$(liquid)-1/2  
A)  T proportional to $\rho$(liquid) 
B)  T proportional to $\rho$(liquid)1/2  
C)  T proportional to $\rho$(liquid)2  
D)  T proportional to $\rho$(liquid)-2  
E)  T proportional to $\rho$(liquid)-1/2

Question 11

Use the following to answer question :  
-The graph shows the displacement of an oscillator as a function of time. The oscillator that is critically damped is

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
E)  1, 2, 3, and 4 
A)  1 
B)  2 
C)  3 
D)  4 
E)  1, 2, 3, and 4

Question 12

A simple pendulum on Earth has a period T. The period of this pendulum could be decreased by

Accepted Answer

A)  increasing the mass of the pendulum bob. 
B)  taking the pendulum to the moon. 
C)  taking the pendulum to the planet Jupiter (MJupiter = 315MEarth). 
D)  decreasing the mass of the pendulum bob. 
E)  increasing the length of the wire supporting the pendulum. 
A)  increasing the mass of the pendulum bob. 
B)  taking the pendulum to the moon. 
C)  taking the pendulum to the planet Jupiter (MJupiter = 315MEarth). 
D)  decreasing the mass of the pendulum bob. 
E)  increasing the length of the wire supporting the pendulum.

Question 13

If F is the force, x the displacement, and k a particular constant, for simple harmonic motion we must have

Accepted Answer

A)  F = -k/x2  
B)  F = k/x 
C)  F = (k/x2)1/2  
D)  F = -kx2  
E)  None of these is correct. 
A)  F = -k/x2  
B)  F = k/x 
C)  F = (k/x2)1/2  
D)  F = -kx2  
E)  None of these is correct.

Question 14

A light spring stretches 0.13 m when a 0.35-kg mass is hung from it. The mass is pulled down from this equilibrium position an additional 0.12 m and is released. Determine the spring constant k and the amplitude of vibration.

Accepted Answer

A)  26.4 N/m and 0.37 m 
B)  26.4 N/m and 0.12 m 
C)  2.70 N/m and 0.25 m 
D)  26.4 N/m and 0.25 m 
E)  26.4 N/m and 0.13 m 
A)  26.4 N/m and 0.37 m 
B)  26.4 N/m and 0.12 m 
C)  2.70 N/m and 0.25 m 
D)  26.4 N/m and 0.25 m 
E)  26.4 N/m and 0.13 m

Question 15

The equation for the period T of a mass m oscillating with simple harmonic motion at the end of a spring with a force constant k is   . A mass m that is oscillating on a spring with a force constant of 0.52 N/m has a period of 2.1 s. On a second spring, the same mass has a period of 3.5 s. The force constant of the second spring is

Accepted Answer

A)  impossible to determine because the mass is not given. 
B)  0.19 N/m 
C)  1.4 N/m 
D)  0.31 N/m 
E)  0.75 N/m 
A)  impossible to determine because the mass is not given. 
B)  0.19 N/m 
C)  1.4 N/m 
D)  0.31 N/m 
E)  0.75 N/m

Question 16

The order, from shortest to longest, of the periods of the oscillatory systems shown in the figure above is

Accepted Answer

A)  a, b, c 
B)  b, a, c 
C)  c, b, a 
D)  c, a, b 
E)  a, c, b 
A)  a, b, c 
B)  b, a, c 
C)  c, b, a 
D)  c, a, b 
E)  a, c, b

Question 17

You have landed your spaceship on the moon and want to determine the acceleration due to gravity using a simple pendulum of length 1.0 m. If the period of this pendulum is
5)0 s, what is the value of g on the moon?

Accepted Answer

A)  1.3 m/s2  
B)  1.6 m/s2  
C)  0.80 m/s2  
D)  0.63 m/s2  
E)  2.4 m/s2  
A)  1.3 m/s2  
B)  1.6 m/s2  
C)  0.80 m/s2  
D)  0.63 m/s2  
E)  2.4 m/s2

Question 18

A 1.0-kg mass oscillates along the x axis with simple harmonic motion. Its position as a function of time is given by X = 2 cos($\pi$t/6 + $\pi$/3)
Where the units are SI. When t = 2 s, the kinetic energy of the mass is

Accepted Answer

A)  $\pi$2/24 J 
B)  $\pi$2/72 J 
C)  2$\pi$2/9 J 
D)  4$\pi$2/9 J 
E)  $\pi$2/4 J 
A)  $\pi$2/24 J 
B)  $\pi$2/72 J 
C)  2$\pi$2/9 J 
D)  4$\pi$2/9 J 
E)  $\pi$2/4 J

What is the length L of a simple pendulum with the same period as a physical pendulum consisting of a hoop suspended at its rim?

A body of mass 5.0 kg moves in simple harmonic motion according to the equation X = 0.040 sin(30t + $\pi$ /6) Where the units are SI. The maximum speed of this body is approximately

The energy of an oscillator decreases by 3% each cycle. The quality factor of this oscillator is approximately

In simple harmonic motion, the magnitude of the acceleration of a body is always directly proportional to its

A clock keeps accurate time when the length of its simple pendulum is L. If the length of the pendulum is increased a small amount, which of the following is true?

A particle is oscillating with simple harmonic motion. The frequency of the motion is 10 Hz and the amplitude of the motion is 5.0 cm. As the particle passes its central equilibrium position, the acceleration of the particle is

The mass on the end of the spring (which stretches linearly) is in equilibrium as shown. It is pulled down so that the pointer is opposite the 11-cm mark and then released. The mass experiences its maximum upward velocity at which of the following positions?

The graph shows the square of the period versus the length of a simple pendulum on a certain planet. The acceleration due to gravity on that planet is approximately

Use the following to answer question : -The graph shows the average power delivered to an oscillating system as a function of the driving frequency. According to these data

Use the following to answer question : -The graph shows the displacement of an oscillator as a function of time. The oscillator that is critically damped is

A simple pendulum on Earth has a period T. The period of this pendulum could be decreased by

If F is the force, x the displacement, and k a particular constant, for simple harmonic motion we must have

A light spring stretches 0.13 m when a 0.35-kg mass is hung from it. The mass is pulled down from this equilibrium position an additional 0.12 m and is released. Determine the spring constant k and the amplitude of vibration.

The order, from shortest to longest, of the periods of the oscillatory systems shown in the figure above is

You have landed your spaceship on the moon and want to determine the acceleration due to gravity using a simple pendulum of length 1.0 m. If the period of this pendulum is 5)0 s, what is the value of g on the moon?

A 1.0-kg mass oscillates along the x axis with simple harmonic motion. Its position as a function of time is given by X = 2 cos( $\pi$ t/6 + $\pi$ /3) Where the units are SI. When t = 2 s, the kinetic energy of the mass is

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Exam 14: Oscillations

What is the length L of a simple pendulum with the same period as a physical pendulum consisting of a hoop suspended at its rim?

A body of mass 5.0 kg moves in simple harmonic motion according to the equation X = 0.040 sin(30t + π\piπ /6) Where the units are SI. The maximum speed of this body is approximately

The energy of an oscillator decreases by 3% each cycle. The quality factor of this oscillator is approximately

In simple harmonic motion, the magnitude of the acceleration of a body is always directly proportional to its

A clock keeps accurate time when the length of its simple pendulum is L. If the length of the pendulum is increased a small amount, which of the following is true?

A particle is oscillating with simple harmonic motion. The frequency of the motion is 10 Hz and the amplitude of the motion is 5.0 cm. As the particle passes its central equilibrium position, the acceleration of the particle is

The mass on the end of the spring (which stretches linearly) is in equilibrium as shown. It is pulled down so that the pointer is opposite the 11-cm mark and then released. The mass experiences its maximum upward velocity at which of the following positions?

The graph shows the square of the period versus the length of a simple pendulum on a certain planet. The acceleration due to gravity on that planet is approximately

Use the following to answer question : -The graph shows the average power delivered to an oscillating system as a function of the driving frequency. According to these data

Use the following to answer question : -The graph shows the displacement of an oscillator as a function of time. The oscillator that is critically damped is

A simple pendulum on Earth has a period T. The period of this pendulum could be decreased by

If F is the force, x the displacement, and k a particular constant, for simple harmonic motion we must have

A light spring stretches 0.13 m when a 0.35-kg mass is hung from it. The mass is pulled down from this equilibrium position an additional 0.12 m and is released. Determine the spring constant k and the amplitude of vibration.

The order, from shortest to longest, of the periods of the oscillatory systems shown in the figure above is

You have landed your spaceship on the moon and want to determine the acceleration due to gravity using a simple pendulum of length 1.0 m. If the period of this pendulum is 5)0 s, what is the value of g on the moon?

A 1.0-kg mass oscillates along the x axis with simple harmonic motion. Its position as a function of time is given by X = 2 cos( π\piπ t/6 + π\piπ /3) Where the units are SI. When t = 2 s, the kinetic energy of the mass is

Systems of Measurement

Motion in One Dimension

Motion in Two and Three Dimensions

Newtons Laws

Applications of Newtons Laws

Work and Energy

Conservation of Energy

Systems of Particles and Conservation of Linear Momentum

Rotation

Conservation of Angular Momentum

Gravity

Static Equilibrium and Elasticity

Fluids

Wave Motion

Superposition and Standing Waves

Temperature and the Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

The Second Law of Thermodynamics

Thermal Properties and Processes

Filters

A body of mass 5.0 kg moves in simple harmonic motion according to the equation X = 0.040 sin(30t + $\pi$ /6) Where the units are SI. The maximum speed of this body is approximately

A 1.0-kg mass oscillates along the x axis with simple harmonic motion. Its position as a function of time is given by X = 2 cos( $\pi$ t/6 + $\pi$ /3) Where the units are SI. When t = 2 s, the kinetic energy of the mass is