Question 1

FIGURE 13-1  
-Curve A in Figure 13-1 represents

Accepted Answer

A)  an underdamped situation. 
B)  an overdamped situation. 
C)  a moderately damped situation. 
D)  critical damping. 
E)  none of the above 
A)  an underdamped situation. 
B)  an overdamped situation. 
C)  a moderately damped situation. 
D)  critical damping. 
E)  none of the above A

Question 2

The quartz crystal in a digital watch has a frequency of 32.8 kHz. What is its period of oscillation?

Accepted Answer

A)  3.05 × 10-5 s 
B)  1.53 × 10-5 s 
C)  9.58 × 10-5 s 
D)  1.91 × 10-4 s 
E)  9.71 × 10-6 s 
A)  3.05 × 10-5 s 
B)  1.53 × 10-5 s 
C)  9.58 × 10-5 s 
D)  1.91 × 10-4 s 
E)  9.71 × 10-6 s A

Question 3

In simple harmonic motion, the speed is greatest at that point in the cycle when

Accepted Answer

A)  the magnitude of the acceleration is a maximum. 
B)  the displacement is a maximum. 
C)  the magnitude of the acceleration is a minimum. 
D)  the potential energy is a maximum. 
E)  the kinetic energy is a minimum. 
A)  the magnitude of the acceleration is a maximum. 
B)  the displacement is a maximum. 
C)  the magnitude of the acceleration is a minimum. 
D)  the potential energy is a maximum. 
E)  the kinetic energy is a minimum. C

Question 4

If you take a given pendulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum will

Accepted Answer

A)  increase. 
B)  decrease. 
C)  not change. 
D)  become zero. 
E)  either increase or decrease; it depends on its length to mass ratio. 
A)  increase. 
B)  decrease. 
C)  not change. 
D)  become zero. 
E)  either increase or decrease; it depends on its length to mass ratio.

Question 5

A sewing machine needle moves up and down in simple harmonic motion with an amplitude of 1.27 cm and a frequency of 2.55 Hz. (a) What is the maximum speed of the needle?
(b) What is the maximum acceleration of the needle?

Accepted Answer

(A)20.3 CM

Question 6

A pendulum of length L is suspended from the ceiling of an elevator. When the elevator is at rest the period of the pendulum is T. How does the period of the pendulum change when the elevator moves upward with constant acceleration?

Accepted Answer

A)  The period does not change. 
B)  The period increases. 
C)  The period decreases. 
D)  The period becomes zero. 
E)  The period increases if the upward acceleration is more than g/2 but decreases if the upward acceleration is less than g/2. 
A)  The period does not change. 
B)  The period increases. 
C)  The period decreases. 
D)  The period becomes zero. 
E)  The period increases if the upward acceleration is more than g/2 but decreases if the upward acceleration is less than g/2.

Question 7

A 16.2-g bullet with an initial speed of 870 m/s embeds itself in a 40.0-kg block, which is attached to a horizontal spring with a force constant of 1010 N/m. What is the maximum compression of the spring?

Accepted Answer

A)  6.34 cm 
B)  5.57 cm 
C)  3.42 cm 
D)  1.26 cm 
E)  7.01 cm 
A)  6.34 cm 
B)  5.57 cm 
C)  3.42 cm 
D)  1.26 cm 
E)  7.01 cm

Question 8

A mass of 0.250 kg is attached to a spring and undergoes simple harmonic oscillations with a period of 0.640 s. What is the force constant of the spring?

Accepted Answer

A)  2.45 N/m 
B)  12.1 N/m 
C)  24.1 N/m 
D)  0.102 N/m 
E)  0.610 N/m 
A)  2.45 N/m 
B)  12.1 N/m 
C)  24.1 N/m 
D)  0.102 N/m 
E)  0.610 N/m

Question 9

Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the period of B?

Accepted Answer

A)  0.71T 
B)  T 
C)  1.4T 
D)  2T 
E)  3T 
A)  0.71T 
B)  T 
C)  1.4T 
D)  2T 
E)  3T

Question 10

Which of the following are characteristics of a mass in simple harmonic motion?
I. The motion repeats at regular intervals.
II. The motion is sinusoidal.
III. The restoring force is proportional to the displacement from equilibrium.

Accepted Answer

A)  I and II only 
B)  I and III only 
C)  II and III only 
D)  all of the above 
E)  none of the above 
A)  I and II only 
B)  I and III only 
C)  II and III only 
D)  all of the above 
E)  none of the above

Question 11

A spar buoy is a cylindrical object that floats with its axis in the vertical direction. When it is disturbed a distance h from its equilibrium position, the magnitude of the restoring force is equal to ρghS, where ρ is the density of the water and S is the cross-sectional area of the cylinder. A certain spar buoy has a mass of 150 kg, a cross-sectional area of 2.50 m2, and is floating in seawater, ρ = 1025 kg/m3. What is the frequency of ocean waves which will cause it to resonate?

Accepted Answer

A)  12.9 Hz 
B)  2.06 Hz 
C)  7.19 Hz 
D)  17.1 Hz 
E)  2.72 Hz 
A)  12.9 Hz 
B)  2.06 Hz 
C)  7.19 Hz 
D)  17.1 Hz 
E)  2.72 Hz

Question 12

A child and an adult are walking. Their legs swing like physical pendulums and both swing through the same maximum angle. The adult is 1.5 times as tall as the child, and all their dimensions are scaled proportionately. They also have the same mass per unit volume. If the walking speed of the adult is 1.3 m/s, what is the walking speed of the child?

Accepted Answer

The answer of A child and an adult are walking....

Question 13

The position of a mass that is oscillating on a spring is given by x = (17.4 cm) cos[(5.46 s-1)t]. Write an expression for the acceleration of the particle as a function of time.

Accepted Answer

-(519 cm/s

Question 14

For periodic motion, the maximum displacement from the equilibrium point is called the

Accepted Answer

A)  amplitude. 
B)  wavelength. 
C)  frequency. 
D)  period. 
E)  energy. 
A)  amplitude. 
B)  wavelength. 
C)  frequency. 
D)  period. 
E)  energy.

Question 15

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)  1 
D)  1/2 
E)  1/4 
A)  2 
B)  4 
C)  1 
D)  1/2 
E)  1/4

Question 16

The time for one cycle of a periodic process is called the

Accepted Answer

A)  amplitude. 
B)  wavelength. 
C)  frequency. 
D)  period. 
E)  energy. 
A)  amplitude. 
B)  wavelength. 
C)  frequency. 
D)  period. 
E)  energy.

Question 17

A 1.5-kg mass attached to spring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is stretched by 10.00 cm.) (a) Determine the frequency of the oscillations.
(b) Determine the maximum speed of the mass. Where does the maximum speed occur?
(c) Determine the maximum acceleration of the mass. Where does the maximum acceleration occur?
(d) Determine the total energy of the oscillating system.
(e) Express the displacement as a function of time.

Accepted Answer

(A)0.58 HZ
(b)0.37 m/s,at the

Question 18

A simple pendulum consists of a mass M attached to a weightless string of length L. For this system, when undergoing small oscillations

Accepted Answer

A)  the frequency is proportional to the amplitude. 
B)  the frequency is inversely proportional to the amplitude. 
C)  the period is proportional to the amplitude. 
D)  the frequency is independent of the mass M. 
E)  the frequency is independent of the length L. 
A)  the frequency is proportional to the amplitude. 
B)  the frequency is inversely proportional to the amplitude. 
C)  the period is proportional to the amplitude. 
D)  the frequency is independent of the mass M. 
E)  the frequency is independent of the length L.

Question 19

A mass on a spring undergoes SHM. When the mass passes through the equilibrium position, its instantaneous velocity

Accepted Answer

A)  is maximum. 
B)  is less than maximum, but not zero. 
C)  is zero. 
D)  cannot be determined without mass information given. 
E)  cannot be determined without spring constant information given. 
A)  is maximum. 
B)  is less than maximum, but not zero. 
C)  is zero. 
D)  cannot be determined without mass information given. 
E)  cannot be determined without spring constant information given.

Question 20

The position of a mass that is oscillating on a spring is given by x = (18.3 cm) cos[(2.35 s-1)t]. What is the frequency of this motion?

Accepted Answer

A)  0.426 Hz 
B)  1.34 Hz 
C)  2.67 Hz 
D)  0.128 Hz 
E)  0.374 Hz 
A)  0.426 Hz 
B)  1.34 Hz 
C)  2.67 Hz 
D)  0.128 Hz 
E)  0.374 Hz

Exam 13: Oscillations About Equilibrium

FIGURE 13-1 -Curve A in Figure 13-1 represents

The quartz crystal in a digital watch has a frequency of 32.8 kHz. What is its period of oscillation?

In simple harmonic motion, the speed is greatest at that point in the cycle when

If you take a given pendulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum will

A sewing machine needle moves up and down in simple harmonic motion with an amplitude of 1.27 cm and a frequency of 2.55 Hz. (a) What is the maximum speed of the needle? (b) What is the maximum acceleration of the needle?

A pendulum of length L is suspended from the ceiling of an elevator. When the elevator is at rest the period of the pendulum is T. How does the period of the pendulum change when the elevator moves upward with constant acceleration?

A 16.2-g bullet with an initial speed of 870 m/s embeds itself in a 40.0-kg block, which is attached to a horizontal spring with a force constant of 1010 N/m. What is the maximum compression of the spring?

A mass of 0.250 kg is attached to a spring and undergoes simple harmonic oscillations with a period of 0.640 s. What is the force constant of the spring?

Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the period of B?

Which of the following are characteristics of a mass in simple harmonic motion? I. The motion repeats at regular intervals. II. The motion is sinusoidal. III. The restoring force is proportional to the displacement from equilibrium.

The position of a mass that is oscillating on a spring is given by x = (17.4 cm) cos[(5.46 s-1)t]. Write an expression for the acceleration of the particle as a function of time.

For periodic motion, the maximum displacement from the equilibrium point is called the

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

The time for one cycle of a periodic process is called the

A simple pendulum consists of a mass M attached to a weightless string of length L. For this system, when undergoing small oscillations

A mass on a spring undergoes SHM. When the mass passes through the equilibrium position, its instantaneous velocity

The position of a mass that is oscillating on a spring is given by x = (18.3 cm) cos[(2.35 s-1)t]. What is the frequency of this motion?

Introduction to Physics

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The position of a mass that is oscillating on a spring is given by x = (17.4 cm) cos[(5.46 s^-1)t]. Write an expression for the acceleration of the particle as a function of time.

The position of a mass that is oscillating on a spring is given by x = (18.3 cm) cos[(2.35 s^-1)t]. What is the frequency of this motion?