Question 1

Both a mass-spring system and a simple pendulum have a period of 1 s. Both are taken to the moon in a lunar landing module. While they are inside the module on the surface of the moon,

Accepted Answer

A)  the pendulum has a period longer than 1 s. 
B)  the mass-spring system has a period longer than 1 s. 
C)  both a and b are true. 
D)  the periods of both are unchanged. 
E)  one of them has a period shorter than 1 s.

Question 2

A body on a spring is vibrating in simple harmonic motion about an equilibrium position indicated by the dashed line. The figure above that shows the body with maximum acceleration is

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
E)  5

Question 3

A rocket ship is propelled vertically up with an acceleration of g in a uniform gravitational field. A pendulum of length 1.0 m would have a period of

Accepted Answer

A)  0 
B)  2.0 s 
C)  1.41 s 
D)  3.1 s 
E)  the period is infinite

Question 4

The equation of a body in simple harmonic motion is 
Y = 8.0 cos(20t +  $\pi$)
Where y is in centimeters and t is in seconds. The frequency of the oscillations is

Accepted Answer

A)  $\pi$/10 Hz 
B)  $\pi$/4 Hz 
C)  10/$\pi$ Hz 
D)  8 Hz 
E)  20 Hz

Question 5

A 2.00-kg body is attached to a spring of negligible mass and oscillates with a period of 1.00 s. The force constant of the spring is

Accepted Answer

A)  0.051 N/m 
B)  0.500 N/m 
C)  2.00 N/m 
D)  6.28 N/m 
E)  None of these is correct.

Question 6

If the length of a simple pendulum with a period T is reduced to half of its original value, the new period T is approximately

Accepted Answer

A)  0.5T 
B)  0.7T 
C)  T (unchanged) 
D)  1.4T 
E)  2T

Question 7

Use the following to answer question : 
-The object in the diagram is in circular motion with frequency f. At t = 0 it was at (A, 0). The y component of its acceleration is given by

Accepted Answer

A)  ay = (vy - v0y)/t 
B)  ay = -(2$\pi$f)2A cos 2$\pi$ft 
C)  ay = -(2$\pi$)2A sin 2$\pi$t 
D)  ay = -(2$\pi$f)2A sin 2$\pi$ft 
E)  ay = -(2$\pi$)2A cos 2$\pi$t

Question 8

A system consists of a mass vibrating on the end of a spring. The total mechanical energy of this system

Accepted Answer

A)  varies as a sine or cosine function. 
B)  is constant only when the mass is at maximum displacement. 
C)  is a maximum when the mass is at its equilibrium position only. 
D)  is constant, regardless of the displacement of the mass from the equilibrium position. 
E)  is always equal to the square of the amplitude.

Question 9

If the mass of a physical pendulum is doubled while its length and mass distribution remain unchanged, its period is

Accepted Answer

A)  doubled. 
B)  multiplied by a factor of  . 
C)  unchanged. 
D)  multiplied by a factor of  . 
E)  halved.

Question 10

A body moving in simple harmonic motion has maximum acceleration when it has

Accepted Answer

A)  maximum velocity. 
B)  maximum kinetic energy. 
C)  minimum potential energy. 
D)  minimum kinetic energy. 
E)  zero displacement.

Question 11

A 0.10-kg mass stretches a massless spring 0.20 m from its equilibrium position. If this same mass is set into vibration on this spring, the frequency is

Accepted Answer

A)  0.023 Hz 
B)  1.1 Hz 
C)  2.0 Hz 
D)  7.0 Hz 
E)  13 Hz

Question 12

Use the following to answer question : 
-The object in the diagram is in circular motion. Its position at t = 0 was (A, 0). Its frequency is f. The y component of its position is given by

Accepted Answer

A)  y = y0 + v0yt +  at2  
B)  y = A cos 2$\pi$ft 
C)  y = A sin ft 
D)  y = A sin 2$\pi$ft 
E)  y = A cos ft

Question 13

A 0.454-kg block starts from rest and slides 3.05 m down a frictionless plane inclined at 53º to the horizontal. At the bottom it slides 9.14 m over a horizontal frictionless plane before compressing a spring (k = 14.7 N/m) a distance x and coming momentarily to rest. The value of x is approximately

Accepted Answer

A)  0.215 m 
B)  1.52 m 
C)  2.44 m 
D)  1.83 m 
E)  1.21 m

Question 14

A simple way to test if a device can withstand high "g-force" is to attach the device to a vibrating platform. Suppose a device has to withstand up to 5g's, and the amplitude of the oscillation is 5 cm, the frequency of the vibration should be

Accepted Answer

A)  5 Hz 
B)  981 Hz 
C)  31.3 Hz 
D)  44.3 Hz 
E)  62.6 Hz

Question 15

A simple pendulum has a mass of 10 kg. The length of the pendulum is 1.0 m. The work required to move the pendulum from its vertical position at rest to a horizontal position at rest is approximately

Accepted Answer

A)  0 
B)  10 J 
C)  16 J 
D)  98 J 
E)  1.6 kJ

Question 16

A 2.50-kg object is attached to a spring of force constant k = 4.50 kN/m. The spring is stretched 10.0 cm from equilibrium and released. What is the maximum kinetic energy of this system?

Accepted Answer

A)  45.0 J 
B)  22.5 J 
C)  56.0 J 
D)  2.25 $\times$ 105 J 
E)  4.50 J

Question 17

The graph is a plot of the period of a physical pendulum versus the distance from the pivot point to the center of mass. If the physical pendulum is suspended 44 cm from the center of mass, a simple pendulum that would have the same period would have a length of approximately

Accepted Answer

A)  19 cm 
B)  30 cm 
C)  44 cm 
D)  49 cm 
E)  63 cm

Question 18

The graph shows the response of a driven oscillatory system as a function of time. The region(s) of the graph that show(s) the steady-state response is(are)

Accepted Answer

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

Question 19

A particle with a mass of 65 g is moving with simple harmonic motion. At time t = 0, the particle is at its extreme positive displacement of 18.0 cm. The period of the motion is 0.600 s. At time t = 1.35 s, the velocity of the particle is

Accepted Answer

A)  -1.9 m/s 
B)  zero 
C)  0.84 m/s 
D)  +1.9 m/s 
E)  -0.84 m/s

Question 20

A body moves with simple harmonic motion according to the equation
X = (2/$\pi$) sin(4$\pi$t + $\pi$/3),
Where the units are SI. At t = 2 s, the speed of the body is

Accepted Answer

A)  1/3 m/s 
B)  1/$\pi$ m/s 
C)   m/s 
D)  4 m/s 
E)   m/s

Exam 14: Oscillations

Both a mass-spring system and a simple pendulum have a period of 1 s. Both are taken to the moon in a lunar landing module. While they are inside the module on the surface of the moon,

A body on a spring is vibrating in simple harmonic motion about an equilibrium position indicated by the dashed line. The figure above that shows the body with maximum acceleration is

A rocket ship is propelled vertically up with an acceleration of g in a uniform gravitational field. A pendulum of length 1.0 m would have a period of

A 2.00-kg body is attached to a spring of negligible mass and oscillates with a period of 1.00 s. The force constant of the spring is

If the length of a simple pendulum with a period T is reduced to half of its original value, the new period T is approximately

A system consists of a mass vibrating on the end of a spring. The total mechanical energy of this system

If the mass of a physical pendulum is doubled while its length and mass distribution remain unchanged, its period is

A body moving in simple harmonic motion has maximum acceleration when it has

A 0.10-kg mass stretches a massless spring 0.20 m from its equilibrium position. If this same mass is set into vibration on this spring, the frequency is

A simple way to test if a device can withstand high "g-force" is to attach the device to a vibrating platform. Suppose a device has to withstand up to 5g's, and the amplitude of the oscillation is 5 cm, the frequency of the vibration should be

A simple pendulum has a mass of 10 kg. The length of the pendulum is 1.0 m. The work required to move the pendulum from its vertical position at rest to a horizontal position at rest is approximately

A 2.50-kg object is attached to a spring of force constant k = 4.50 kN/m. The spring is stretched 10.0 cm from equilibrium and released. What is the maximum kinetic energy of this system?

The graph is a plot of the period of a physical pendulum versus the distance from the pivot point to the center of mass. If the physical pendulum is suspended 44 cm from the center of mass, a simple pendulum that would have the same period would have a length of approximately

The graph shows the response of a driven oscillatory system as a function of time. The region(s) of the graph that show(s) the steady-state response is(are)

A particle with a mass of 65 g is moving with simple harmonic motion. At time t = 0, the particle is at its extreme positive displacement of 18.0 cm. The period of the motion is 0.600 s. At time t = 1.35 s, the velocity of the particle is

A body moves with simple harmonic motion according to the equation X = (2/ $\pi$ ) sin(4 $\pi$ t + $\pi$ /3) , Where the units are SI. At t = 2 s, the speed of the body is

Exam 14: Oscillations

Both a mass-spring system and a simple pendulum have a period of 1 s. Both are taken to the moon in a lunar landing module. While they are inside the module on the surface of the moon,

A body on a spring is vibrating in simple harmonic motion about an equilibrium position indicated by the dashed line. The figure above that shows the body with maximum acceleration is

A rocket ship is propelled vertically up with an acceleration of g in a uniform gravitational field. A pendulum of length 1.0 m would have a period of

The equation of a body in simple harmonic motion is Y = 8.0 cos(20t + π\piπ ) Where y is in centimeters and t is in seconds. The frequency of the oscillations is

A 2.00-kg body is attached to a spring of negligible mass and oscillates with a period of 1.00 s. The force constant of the spring is

If the length of a simple pendulum with a period T is reduced to half of its original value, the new period T is approximately

Use the following to answer question : -The object in the diagram is in circular motion with frequency f. At t = 0 it was at (A, 0) . The y component of its acceleration is given by

A system consists of a mass vibrating on the end of a spring. The total mechanical energy of this system

If the mass of a physical pendulum is doubled while its length and mass distribution remain unchanged, its period is

A body moving in simple harmonic motion has maximum acceleration when it has

A 0.10-kg mass stretches a massless spring 0.20 m from its equilibrium position. If this same mass is set into vibration on this spring, the frequency is

Use the following to answer question : -The object in the diagram is in circular motion. Its position at t = 0 was (A, 0) . Its frequency is f. The y component of its position is given by

A simple way to test if a device can withstand high "g-force" is to attach the device to a vibrating platform. Suppose a device has to withstand up to 5g's, and the amplitude of the oscillation is 5 cm, the frequency of the vibration should be

A simple pendulum has a mass of 10 kg. The length of the pendulum is 1.0 m. The work required to move the pendulum from its vertical position at rest to a horizontal position at rest is approximately

A 2.50-kg object is attached to a spring of force constant k = 4.50 kN/m. The spring is stretched 10.0 cm from equilibrium and released. What is the maximum kinetic energy of this system?

The graph is a plot of the period of a physical pendulum versus the distance from the pivot point to the center of mass. If the physical pendulum is suspended 44 cm from the center of mass, a simple pendulum that would have the same period would have a length of approximately

The graph shows the response of a driven oscillatory system as a function of time. The region(s) of the graph that show(s) the steady-state response is(are)

A particle with a mass of 65 g is moving with simple harmonic motion. At time t = 0, the particle is at its extreme positive displacement of 18.0 cm. The period of the motion is 0.600 s. At time t = 1.35 s, the velocity of the particle is

A body moves with simple harmonic motion according to the equation X = (2/ π\piπ ) sin(4 π\piπ t + π\piπ /3) , Where the units are SI. At t = 2 s, the speed of the body is

A body moves with simple harmonic motion according to the equation X = (2/ $\pi$ ) sin(4 $\pi$ t + $\pi$ /3) , Where the units are SI. At t = 2 s, the speed of the body is