Question 1

Two simple pendulums, A and B, are each 3.0 m long, and the period of pendulum A is T. Pendulum A is twice as heavy as pendulum B. What is the period of pendulum B?

Accepted Answer

A)   2T 
B)   T 
C)   T/2 
D)    
E)    
A)   2T 
B)   T 
C)   T/2 
D)    
E)

Question 2

A simple pendulum takes 2.00 s to make one compete swing. If we now triple the length, how long will it take for one complete swing?

Accepted Answer

A)   6.00 s 
B)   2.00 s 
C)   3.46 s 
D)   1.15 s 
E)   0.667 s 
A)   6.00 s 
B)   2.00 s 
C)   3.46 s 
D)   1.15 s 
E)   0.667 s

Question 3

A string that is  2.0  meters long is fixed at both ends and tightened until the wave speed is  18 m/s. What is the frequency of the standing wave shown in the figure?

Accepted Answer

A)   110 Hz 
B)   54 Hz 
C)   27 Hz 
D)   81 Hz 
A)   110 Hz 
B)   54 Hz 
C)   27 Hz 
D)   81 Hz

Question 4

An object that hangs from the ceiling of a stationary elevator by an ideal spring oscillates with a period T. If the elevator accelerates upward with acceleration 2g, what will be the period of Oscillation of the object?

Accepted Answer

A)   T/4 
B)   T 
C)   2T 
D)   4T 
E)   T/2 
A)   T/4 
B)   T 
C)   2T 
D)   4T 
E)   T/2

Question 5

A geologist suspends a 0.30-kg stone on an ideal spring. In equilibrium the stone stretches
the spring 2.0 cm downward. The stone is then pulled an additional distance of 1.0 cm
down and released from rest.
(a) Write down the equation for the vertical position y of the stone as a function of time t,
using the cosine function. Take the origin at the equilibrium point of the stone, with the
positive y direction upward.
(b) How fast is the stone moving at a time equal to 1/3 of its period of motion?

Accepted Answer

The answer of A geologist suspends a 0.30-kg stone on...

Question 6

A  2.0-kg block on a frictionless table is connected to two springs whose opposite ends are fixed to walls, as shown in the figure. The springs have force constants (spring constants)   What is the oscillation angular frequency of the block if

Accepted Answer

A)   0.40 rad/s 
B)   0.56 rad/s 
C)   3.5 rad/s 
D)   2.5 rad/s 
A)   0.40 rad/s 
B)   0.56 rad/s 
C)   3.5 rad/s 
D)   2.5 rad/s

Question 7

Tarzan swings back and forth on a long vine. His friend Jane notices in amazement that he
makes 30 complete swings in 2.4 minutes.
(a) What is the frequency (in hertz) of Tarzan's swing?
(b) How long is the vine he is using?

Accepted Answer

(a) 0.21 H

Question 8

The density of aluminum is $2700 \mathrm {~kg} / \mathrm { m } ^ { 3 }$ If transverse waves travel at  38 m/s in an aluminum wire of diameter  4.6 mm, what is the tension on the wire?

Accepted Answer

A)   39 N 
B)   52 N 
C)   78 N 
D)   65 N 
A)   39 N 
B)   52 N 
C)   78 N 
D)   65 N

Question 9

As shown in the figure, a  0.23-kg ball is suspended from a string  6.87 m long and is pulled slightly to the left. As the ball swings through the lowest part of its motion it encounters a spring attached to the wall. The spring pushes against the ball and eventually the ball is returned to its original starting position. Find the time for one complete cycle of this motion if the spring constant (force constant) is  19 N/m. (Assume that once the pendulum ball hits the spring there is no effect due to the vertical movement of the ball.)

Accepted Answer

The answer of As shown in the figure, a ...

Question 10

A ball swinging at the end of a massless string, as shown in the figure, undergoes simple harmonic motion. At what point (or points) is the magnitude of the instantaneous acceleration of the ball the Greatest?

Accepted Answer

A)   A and D 
B)  B 
C)   A and C 
D)   A and B 
E)   C 
A)   A and D 
B)  B 
C)   A and C 
D)   A and B 
E)   C

Question 11

What is the wave speed in a brass wire with a radius of  0.500 mm  stretched with a tension of 125
N? The density of brass is $8.60 \times 10 ^ { 3 } \mathrm {~kg} / \mathrm { m } ^ { 3 }$

Accepted Answer

A)   68.8 m/s 
B)   100 m/s 
C)   136 m/s 
D)   0.121 m/s 
E)   500 m/s 
A)   68.8 m/s 
B)   100 m/s 
C)   136 m/s 
D)   0.121 m/s 
E)   500 m/s

Question 12

If a floating log is seen to bob up and down 15 times in 1.0 min as waves pass by you,
what are the frequency and period of the wave?

Accepted Answer

The answer of If a floating log is seen to...

Question 13

What is the frequency of a pressure wave of wavelength  2.5 m that is traveling at  1400 m/s?

Accepted Answer

A)   5.6 kHz 
B)   560 Hz 
C)   178 Hz 
D)   1.78 kHz 
A)   5.6 kHz 
B)   560 Hz 
C)   178 Hz 
D)   1.78 kHz

Question 14

If the frequency of the motion of a simple harmonic oscillator is doubled, by what factor does the maximum speed of the oscillator change?

Accepted Answer

A)  2 
B)  4 
C)  It does not change. 
D)   1/2 
E)   1/4 
A)  2 
B)  4 
C)  It does not change. 
D)   1/2 
E)   1/4

Question 15

What is the frequency of the fundamental mode of vibration of a steel piano wire stretched to a tension of  440 N? The wire is  0.600 m long and has a mass of  5.60 g.

Accepted Answer

A)   517 Hz 
B)   312 Hz 
C)   234 Hz 
D)   366 Hz 
E)   181 Hz 
A)   517 Hz 
B)   312 Hz 
C)   234 Hz 
D)   366 Hz 
E)   181 Hz

Question 16

A string of length  L  is under tension, and the speed of a wave in the string is   What will be the speed of a wave in the string if the length is increased to  2 L  but with no change in the mass or tension?

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 17

The equation of motion of a particle undergoing simple harmonic motion in the  y  direction is  
At time  t=0.60 s determine the particle's (a) position, (b) velocity, and (c) acceleration.

Accepted Answer

(a)  0.70 cm
(b)  1.

Question 18

One of the harmonics of a string fixed at both ends has a frequency of  52.2 Hz and the next higher harmonic has a frequency of  60.9 Hz. What is the fundamental frequency of the string?

Accepted Answer

A)   4.35 Hz 
B)   8.7 Hz 
C)   30.4 Hz 
D)   17.4 Hz 
E)   26.1 Hz 
A)   4.35 Hz 
B)   8.7 Hz 
C)   30.4 Hz 
D)   17.4 Hz 
E)   26.1 Hz

Question 19

What is the frequency of the wave shown in the figure?

Accepted Answer

A)  4 Hz 
B)  0.5 Hz 
C)  2 Hz 
D)  1 Hz 
E)  It cannot be determined from the given information 
A)  4 Hz 
B)  0.5 Hz 
C)  2 Hz 
D)  1 Hz 
E)  It cannot be determined from the given information

Question 20

A string of length  2.5 m is fixed at both ends. When the string vibrates at a frequency of  85 Hz, a standing wave with five loops is formed.
(a) Determine the distance between two adjacent nodes.
(b) Determine the wavelength of the waves that travel on the string.
(c) Determine the speed of traveling waves on this string.
(d) Determine the fundamental frequency of this string.

Accepted Answer

(a) 0.50 m

Exam 11: Oscillations and Waves

Two simple pendulums, A and B, are each 3.0 m long, and the period of pendulum A is T. Pendulum A is twice as heavy as pendulum B. What is the period of pendulum B?

A simple pendulum takes 2.00 s to make one compete swing. If we now triple the length, how long will it take for one complete swing?

A string that is 2.0 meters long is fixed at both ends and tightened until the wave speed is 18 m/s. What is the frequency of the standing wave shown in the figure?

An object that hangs from the ceiling of a stationary elevator by an ideal spring oscillates with a period T. If the elevator accelerates upward with acceleration 2g, what will be the period of Oscillation of the object?

A 2.0-kg block on a frictionless table is connected to two springs whose opposite ends are fixed to walls, as shown in the figure. The springs have force constants (spring constants) What is the oscillation angular frequency of the block if

Tarzan swings back and forth on a long vine. His friend Jane notices in amazement that he makes 30 complete swings in 2.4 minutes. (a) What is the frequency (in hertz) of Tarzan's swing? (b) How long is the vine he is using?

The density of aluminum is 2700 kg/m32700 \mathrm {~kg} / \mathrm { m } ^ { 3 }2700 kg/m3 If transverse waves travel at 38 m/s in an aluminum wire of diameter 4.6 mm, what is the tension on the wire?

A ball swinging at the end of a massless string, as shown in the figure, undergoes simple harmonic motion. At what point (or points) is the magnitude of the instantaneous acceleration of the ball the Greatest?

What is the wave speed in a brass wire with a radius of 0.500 mm stretched with a tension of 125 N? The density of brass is 8.60×103 kg/m38.60 \times 10 ^ { 3 } \mathrm {~kg} / \mathrm { m } ^ { 3 }8.60×103 kg/m3

If a floating log is seen to bob up and down 15 times in 1.0 min as waves pass by you, what are the frequency and period of the wave?

What is the frequency of a pressure wave of wavelength 2.5 m that is traveling at 1400 m/s?

If the frequency of the motion of a simple harmonic oscillator is doubled, by what factor does the maximum speed of the oscillator change?

What is the frequency of the fundamental mode of vibration of a steel piano wire stretched to a tension of 440 N? The wire is 0.600 m long and has a mass of 5.60 g.

A string of length L is under tension, and the speed of a wave in the string is What will be the speed of a wave in the string if the length is increased to 2 L but with no change in the mass or tension?

The equation of motion of a particle undergoing simple harmonic motion in the y direction is At time t=0.60 s determine the particle's (a) position, (b) velocity, and (c) acceleration.

One of the harmonics of a string fixed at both ends has a frequency of 52.2 Hz and the next higher harmonic has a frequency of 60.9 Hz. What is the fundamental frequency of the string?

What is the frequency of the wave shown in the figure?

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The density of aluminum is $2700 \mathrm {~kg} / \mathrm { m } ^ { 3 }$ If transverse waves travel at 38 m/s in an aluminum wire of diameter 4.6 mm, what is the tension on the wire?

What is the wave speed in a brass wire with a radius of 0.500 mm stretched with a tension of 125 N? The density of brass is $8.60 \times 10 ^ { 3 } \mathrm {~kg} / \mathrm { m } ^ { 3 }$