Physics 011
MC#11A
Chapter
11 : Vibrations and Waves


1. 

Each force in the list of forces that make up this question is the net, external force acting on an object of mass m_{o} that is free to move in the x direction only. The vector x is the displacement of the object relative to a fixed point on the x axis (this could be the origin). The symbols a, b, c and d are positive constants and F_{o} is a small constant force directed in the positive x direction. The proposition (True, T or False, F) is that each of these forces would cause the object on which it is acting to undergo simple harmonic motion. F = a x
See Section 111 


2. 

Each force in the list of forces that make up this question is the net, external force acting on an object of mass m_{o} that is free to move in the x direction only. The vector x is the displacement of the object relative to a fixed point on the x axis (this could be the origin). The symbols a, b, c and d are positive constants and F_{o} is a small constant force directed in the positive x direction. The proposition (True, T or False, F) is that each of these forces would cause the object on which it is acting to undergo simple harmonic motion. F =  d x 


3. 

Each force in the list of forces that make up this question is the net, external force acting on an object of mass m_{o} that is free to move in the x direction only. The vector x is the displacement of the object relative to a fixed point on the x axis (this could be the origin). The symbols a, b, c and d are positive constants and F_{o} is a small constant force directed in the positive x direction. The proposition (True, T or False, F) is that each of these forces would cause the object on which it is acting to undergo simple harmonic motion. F =  (a x + F_{o}
) See Section 111 


4. 

Each force in the list of forces that make up this question is the net, external force acting on an object of mass m_{o} that is free to move in the x direction only. The vector x is the displacement of the object relative to a fixed point on the x axis (this could be the origin). The symbols a, b, c and d are positive constants and F_{o} is a small constant force directed in the positive x direction. The proposition (True, T or False, F) is that each of these forces would cause the object on which it is acting to undergo simple harmonic motion. F = ((a +
b + c)) x See Section 111 


5. 

Each force in the list of forces that make up this question is the net, external force acting on an object of mass m_{o} that is free to move in the x direction only. The vector x is the displacement of the object relative to a fixed point on the x axis (this could be the origin). The symbols a, b, c and d are positive constants and F_{o} is a small constant force directed in the positive x direction. The proposition (True, T or False, F) is that each of these forces would cause the object on which it is acting to undergo simple harmonic motion. F =  a x + F_{o} 


6. 

Each force in the list of forces that make up this question is the net, external force acting on an object of mass m_{o} that is free to move in the x direction only. The vector x is the displacement of the object relative to a fixed point on the x axis (this could be the origin). The symbols a, b, c and d are positive constants and F_{o} is a small constant force directed in the positive x direction. The proposition (True, T or False, F) is that each of these forces would cause the object on which it is acting to undergo simple harmonic motion. F =  (b e^{(c/d)}) x 


7. 

Each force in the list of forces that make up this question is the net, external force acting on an object of mass m_{o} that is free to move in the x direction only. The vector x is the displacement of the object relative to a fixed point on the x axis (this could be the origin). The symbols a, b, c and d are positive constants and F_{o} is a small constant force directed in the positive x direction. The proposition (True, T or False, F) is that each of these forces would cause the object on which it is acting to undergo simple harmonic motion. F =  ((a +
b/d + c)) x 


8. 

Each force in the list of forces that make up this question is the net, external force acting on an object of mass m_{o} that is free to move in the x direction only. The vector x is the displacement of the object relative to a fixed point on the x axis (this could be the origin). The symbols a, b, c and d are positive constants and F_{o} is a small constant force directed in the positive x direction. The proposition (True, T or False, F) is that each of these forces would cause the object on which it is acting to undergo simple harmonic motion. F =  a x /((x^{•}x)) See Section 111 


9. 

An object with mass m_{o}, free to move on
a one dimensional, horizontal frictionless surface is subjected to a
restoring force of magnitude k_{o}x where x is the distance
separating the object from its equilibrium position, (i. e., the position is
which the net force acting on it is zero.) The direction of this restoring
force acting on the object is such that it always pushes or pulls the object
back toward its equilibrium position. The object is pulled aside until it is
a distance A_{o} from its equilibrium position, held at rest and
released. The object then undergoes simple harmonic motion with period T_{o}.
The total energy associated with the motion of the object is E_{o}.
As the object passes through its equilibrium position its speed is v_{o}. If the spring constant k_{o} had been slightly larger, the speed of the object as it passed through its equilibrium position would have been ___ v_{o}.
See Section 113 


10. 

An object with mass m_{o}, free to move on
a one dimensional, horizontal frictionless surface is subjected to a
restoring force of magnitude k_{o}x where x is the distance
separating the object from its equilibrium position, (i. e., the position is
which the net force acting on it is zero.) The direction of this restoring
force acting on the object is such that it always pushes or pulls the object
back toward its equilibrium position. The object is pulled aside until it is
a distance A_{o} from its equilibrium position, held at rest and
released. The object then undergoes simple harmonic motion with period T_{o}.
The total energy associated with the motion of the object is E_{o}.
As the object passes through its equilibrium position its speed is v_{o}. If the
spring constant k_{o} had been slightly smaller, the period of the
motion would have been ___ T_{o}. See Section 113 


11. 

An object with mass m_{o}, free to move on
a one dimensional, horizontal frictionless surface is subjected to a
restoring force of magnitude k_{o}x where x is the distance
separating the object from its equilibrium position, (i. e., the position is
which the net force acting on it is zero.) The direction of this restoring
force acting on the object is such that it always pushes or pulls the object
back toward its equilibrium position. The object is pulled aside until it is
a distance A_{o} from its equilibrium position, held at rest and
released. The object then undergoes simple harmonic motion with period T_{o}.
The total energy associated with the motion of the object is E_{o}.
As the object passes through its equilibrium position its speed is v_{o}. If the
spring constant k_{o} had been slightly larger, the total energy
associated with the motion of the object would have been ___ E_{o}. See Section 112 


12. 

An object with mass m_{o}, free to move on
a one dimensional, horizontal frictionless surface is subjected to a
restoring force of magnitude k_{o}x where x is the distance
separating the object from its equilibrium position, (i. e., the position is
which the net force acting on it is zero.) The direction of this restoring
force acting on the object is such that it always pushes or pulls the object
back toward its equilibrium position. The object is pulled aside until it is
a distance A_{o} from its equilibrium position, held at rest and
released. The object then undergoes simple harmonic motion with period T_{o}.
The total energy associated with the motion of the object is E_{o}.
As the object passes through its equilibrium position its speed is v_{o}. If the
object had been released from rest at a distance less than A_{o} from
its equilibrium position, the speed of the object as it passed through its
equilibrium position would have been ___ v_{o}. See Section 113 


13. 

An object with mass m_{o}, free to move on
a one dimensional, horizontal frictionless surface is subjected to a
restoring force of magnitude k_{o}x where x is the distance
separating the object from its equilibrium position, (i. e., the position is
which the net force acting on it is zero.) The direction of this restoring
force acting on the object is such that it always pushes or pulls the object
back toward its equilibrium position. The object is pulled aside until it is
a distance A_{o} from its equilibrium position, held at rest and
released. The object then undergoes simple harmonic motion with period T_{o}.
The total energy associated with the motion of the object is E_{o}.
As the object passes through its equilibrium position its speed is v_{o}. If the
object had been released from rest at a distance greater than A_{o}
from its equilibrium position, the period of the motion would have been ___ T_{o}. See Section 112 


14. 

An object with mass m_{o}, free to move on
a one dimensional, horizontal frictionless surface is subjected to a
restoring force of magnitude k_{o}x where x is the distance
separating the object from its equilibrium position, (i. e., the position is
which the net force acting on it is zero.) The direction of this restoring
force acting on the object is such that it always pushes or pulls the object
back toward its equilibrium position. The object is pulled aside until it is
a distance A_{o} from its equilibrium position, held at rest and
released. The object then undergoes simple harmonic motion with period T_{o}.
The total energy associated with the motion of the object is E_{o}.
As the object passes through its equilibrium position its speed is v_{o}. If the
object had been released from rest at a distance less than A_{o} from
its equilibrium position, the total energy of the motion would have been ___
E_{o}. See Section 112 


15. 

An object with mass m_{o}, free to move on
a one dimensional, horizontal frictionless surface is subjected to a
restoring force of magnitude k_{o}x where x is the distance
separating the object from its equilibrium position, (i. e., the position is
which the net force acting on it is zero.) The direction of this restoring force
acting on the object is such that it always pushes or pulls the object back
toward its equilibrium position. The object is pulled aside until it is a
distance A_{o} from its equilibrium position, held at rest and
released. The object then undergoes simple harmonic motion with period T_{o}.
The total energy associated with the motion of the object is E_{o}.
As the object passes through its equilibrium position its speed is v_{o}. If the
mass of the object had been slightly less than m_{o}, the speed of
the object as it passed through its equilibrium position would have been ___
v_{o}. 


16. 

An object with mass m_{o}, free to move on
a one dimensional, horizontal frictionless surface is subjected to a
restoring force of magnitude k_{o}x where x is the distance
separating the object from its equilibrium position, (i. e., the position is
which the net force acting on it is zero.) The direction of this restoring
force acting on the object is such that it always pushes or pulls the object
back toward its equilibrium position. The object is pulled aside until it is
a distance A_{o} from its equilibrium position, held at rest and
released. The object then undergoes simple harmonic motion with period T_{o}.
The total energy associated with the motion of the object is E_{o}.
As the object passes through its equilibrium position its speed is v_{o}. If the
mass of the object had been slightly larger than m_{o}, the period of
the motion would have been ___ T_{o}. See Section 113 


17. 

An object with mass m_{o}, free to move on
a one dimensional, horizontal frictionless surface is subjected to a
restoring force of magnitude k_{o}x where x is the distance
separating the object from its equilibrium position, (i. e., the position is
which the net force acting on it is zero.) The direction of this restoring
force acting on the object is such that it always pushes or pulls the object
back toward its equilibrium position. The object is pulled aside until it is
a distance A_{o} from its equilibrium position, held at rest and
released. The object then undergoes simple harmonic motion with period T_{o}.
The total energy associated with the motion of the object is E_{o}.
As the object passes through its equilibrium position its speed is v_{o}. If the
mass of the object had been slightly less than m_{o}, the total
energy of the motion would have been ___ E_{o}. See Section 112 


18. 

A 20kg
weight is attached to a wall by a spring. A 5.0 Newton force horizontally
displaces it 1.0 meters from its equilibrium position along a frictionless
floor. What is the closest estimate of the period of the oscillation of the
weight? See Section 113 


19. 

A pendulum
with a length L has a period of 2 seconds. In order for the pendulum to have
a period of 4 seconds, we must See Section 114 


20. 

If a
pendulum 12 meters long has a frequency of 0.25 hertz, what will be the
period of a second pendulum at the same location if its length is 3.0 meters? 


21. 

A pendulum
clock is losing time. How should the pendulum be adjusted? See Section 114 


22. 

A simple
pendulum has a period of 4.63 seconds at a place on the earth where the
acceleration of gravity is 9.82 m/s^{2}. At a different location the
period increases to 4.64 seconds. What is the value of g at this
second point? 


23. 

A simple pendulum is made by tying an object with mass m_{o} to the end of a string of length L_{o}, the other end of which is tied to the ceiling. The object is pulled aside until the string makes a small angle _{o} with the vertical, held at rest and released. The pendulum bob then undergoes simple harmonic motion with period T_{o} and the total mechanical energy of the pendulum bob is E_{o}. At the lowest point in its swing, the speed of the pendulum bob is v_{o}. If the length of the string had been slightly longer than L_{o}, the period of the motion would have been ____ T_{o}.
See Section 114 


24. 

A simple pendulum is made by tying an object with mass m_{o} to the end of a string of length L_{o}, the other end of which is tied to the ceiling. The object is pulled aside until the string makes a small angle _{o} with the vertical, held at rest and released. The pendulum bob then undergoes simple harmonic motion with period T_{o} and the total mechanical energy of the pendulum bob is E_{o}. At the lowest point in its swing, the speed of the pendulum bob is v_{o}. If the
mass of the pendulum bob had been slightly larger than m_{o}, the
period of the motion would have been ____ T_{o}. See Section 114 


25. 

A simple pendulum is made by tying an object with mass m_{o} to the end of a string of length L_{o}, the other end of which is tied to the ceiling. The object is pulled aside until the string makes a small angle _{o} with the vertical, held at rest and released. The pendulum bob then undergoes simple harmonic motion with period T_{o} and the total mechanical energy of the pendulum bob is E_{o}. At the lowest point in its swing, the speed of the pendulum bob is v_{o}. If the
angle which the string makes with the vertical when the bob was released from
rest had been slightly less than _{o},
the period of the motion would have been ____ T_{o}. See Section 114 


26. 

A simple pendulum is made by tying an object with mass m_{o} to the end of a string of length L_{o}, the other end of which is tied to the ceiling. The object is pulled aside until the string makes a small angle _{o} with the vertical, held at rest and released. The pendulum bob then undergoes simple harmonic motion with period T_{o} and the total mechanical energy of the pendulum bob is E_{o}. At the lowest point in its swing, the speed of the pendulum bob is v_{o}. If the
same pendulum was set in motion in the same way on the surface of the moon,
the period of the motion would be ___ T_{o}. See Section 114 


27. 

A simple pendulum is made by tying an object with mass m_{o} to the end of a string of length L_{o}, the other end of which is tied to the ceiling. The object is pulled aside until the string makes a small angle _{o} with the vertical, held at rest and released. The pendulum bob then undergoes simple harmonic motion with period T_{o} and the total mechanical energy of the pendulum bob is E_{o}. At the lowest point in its swing, the speed of the pendulum bob is v_{o}. If the
length of the string had been slightly longer than L_{o}, the total
mechanical energy of the pendulum bob would have been ___ E_{o}. 


28. 

A simple pendulum is made by tying an object with mass m_{o} to the end of a string of length L_{o}, the other end of which is tied to the ceiling. The object is pulled aside until the string makes a small angle _{o} with the vertical, held at rest and released. The pendulum bob then undergoes simple harmonic motion with period T_{o} and the total mechanical energy of the pendulum bob is E_{o}. At the lowest point in its swing, the speed of the pendulum bob is v_{o}. If the
mass of the pendulum bob had been slightly larger than m_{o}, the
total mechanical energy of the pendulum bob would have been ___ E_{o}. See Section 114 


29. 

A simple pendulum is made by tying an object with mass m_{o} to the end of a string of length L_{o}, the other end of which is tied to the ceiling. The object is pulled aside until the string makes a small angle _{o} with the vertical, held at rest and released. The pendulum bob then undergoes simple harmonic motion with period T_{o} and the total mechanical energy of the pendulum bob is E_{o}. At the lowest point in its swing, the speed of the pendulum bob is v_{o}. If the
angle which the string makes with the vertical when the bob was released from
rest had been slightly less than _{o},
the total mechanical energy of the pendulum bob would have been ___ E_{o}. See Section 114 


30. 

A simple pendulum is made by tying an object with mass m_{o} to the end of a string of length L_{o}, the other end of which is tied to the ceiling. The object is pulled aside until the string makes a small angle _{o} with the vertical, held at rest and released. The pendulum bob then undergoes simple harmonic motion with period T_{o} and the total mechanical energy of the pendulum bob is E_{o}. At the lowest point in its swing, the speed of the pendulum bob is v_{o}. If the
same pendulum was set in motion in the same way on the surface of the moon,
the total mechanical energy of the pendulum bob would have been ___ E_{o}. See Section 114 


31. 

If the
length of the string had been slightly longer than L_{o}, the speed
of the pendulum bob as it passed through the lowest point in its swing would
have been ___ v_{o}. See Section 114 


32. 

A simple pendulum is made by tying an object with mass m_{o} to the end of a string of length L_{o}, the other end of which is tied to the ceiling. The object is pulled aside until the string makes a small angle _{o} with the vertical, held at rest and released. The pendulum bob then undergoes simple harmonic motion with period T_{o} and the total mechanical energy of the pendulum bob is E_{o}. At the lowest point in its swing, the speed of the pendulum bob is v_{o}. If the
mass of the pendulum bob had been slightly larger than m_{o}, the
speed of the pendulum bob as it passed through the lowest point in its swing
would have been ___ v_{o}. See Section 114 


33. 

A simple pendulum is made by tying an object with mass m_{o} to the end of a string of length L_{o}, the other end of which is tied to the ceiling. The object is pulled aside until the string makes a small angle _{o} with the vertical, held at rest and released. The pendulum bob then undergoes simple harmonic motion with period T_{o} and the total mechanical energy of the pendulum bob is E_{o}. At the lowest point in its swing, the speed of the pendulum bob is v_{o}. If the
angle which the string makes with the vertical when the bob was released from
rest had been slightly less than _{o},
the speed of the pendulum bob as it passed through the lowest point in its
swing would have been ___ v_{o}. See Section 114 


34. 

A simple pendulum is made by tying an object with mass m_{o} to the end of a string of length L_{o}, the other end of which is tied to the ceiling. The object is pulled aside until the string makes a small angle _{o} with the vertical, held at rest and released. The pendulum bob then undergoes simple harmonic motion with period T_{o} and the total mechanical energy of the pendulum bob is E_{o}. At the lowest point in its swing, the speed of the pendulum bob is v_{o}. If the
same pendulum was set in motion in the same way on the surface of the moon,
the speed of the pendulum bob as it passed through the lowest point in its
swing would be ___ v_{o}. See Section 114 


35. 

What is
the wavelength of a transverse wave which has a speed of 15 meters per second
and a frequency of 5.0 hertz? 


36. 

If the
speed of a transverse wave of a violin string is 12 meters per second and the
frequency played is 4.0 H_{z}, what is the wavelength of the sound? See Section 117 


37. 

What is
the speed of a longitudinal sound wave in a steel rod if Young's modulus for
steel is 20 x 10^{10} N/m^{2} and the density of steel is 8 x
10^{3} kg/m^{3}? See Section 118 


38. 

If two
identical sound waves interact in phase, the resulting wave will have See Section 1111 


39. 

Two waves of the same speed, same frequency and same wavelength moving in the same medium in the same direction at the same time have amplitudes of 6 cm and 2 cm respectively. If the waves are in phase, the amplitude of the resulting wave will be ___ cm.
See Section 1111 


40. 

Two waves of the same speed, same frequency and same wavelength moving in the same medium in the same direction at the same time have amplitudes of 6 cm and 2 cm respectively. If the two
waves are 180^{o} out of phase, the amplitude of the resulting wave will
be ___ cm. See Section 1111 