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Simple Harmonic Motion Test Review

Total questions: 15

Worksheet time: 23mins

Name
Class
Date
1.

What's the period of a spring-mass oscillator with a mass of 3.5 kg and a spring constant of 85 N/m?

a)

1.3 sec

b)

1.9 sec

c)

0.4 sec

d)

0.8 sec

e)

3.1 sec

2.

What's the frequency of a spring-mass oscillator with a spring constant of 3550 N/m and a mass of 1395 kg?

a)

0.25 Hz

b)

0.16 Hz

c)

0.35 Hz

d)

0.41 Hz

e)

0.56 Hz

3.

What's the spring constant of a spring-mass oscillator with a mass of 202 kg and a period of 0.77 sec?

a)

13,450 N/m

b)

27,863 N/m

c)

6725 N/m

d)

11,743 N/m

e)

21,084 N/m

4.

What's the mass of a spring-mass oscillator with a frequency of 0.4 Hz and a spring constant of 667 N/m?

a)

105.6 kg

b)

211.2 kg

c)

42.2 kg

d)

84.5 kg

e)

170.6 kg

5.

What's the period of a simple pendulum with a length of 7 m?

a)

5.3 sec

b)

7.4 sec

c)

13.9 sec

d)

11.3 sec

e)

9.7 sec

6.

What's the frequency of a simple pendulum with a length of 45 cm?

a)

0.74 Hz

b)

1.35 Hz

c)

0.89 Hz

d)

0.51 Hz

e)

0.18 Hz

7.

What's the length of a simple pendulum with a frequency of 0.33 Hz?

a)

228 cm

b)

145 cm

c)

188 cm

d)

259 cm

e)

402 cm

8.

What's the gravitational field strength on the surface of a planet on which a simple pendulum with a length of 2.1 m has a period of 1.75 sec?

a)

27.1 m/s2

b)

13.6 m/s2

c)

9.8 m/s2

d)

6.1 m/s2

e)

16.2 m/s2

9.

Increasing which of the following will increase the frequency of a spring-mass oscillator? (SELECT ALL THAT APPLY.)

a)

Spring constant

b)

Mass

c)

Amplitude

d)

Gravitational field strength

e)

Period

10.

Increasing which of the following will NOT increase the time it takes for a simple pendulum to complete one full oscillation? (SELECT ALL THAT APPLY.)

a)

Length

b)

Gravitational field strength

c)

Frequency

d)

Mass

e)

Amplitude

11.

Which of the following statements is true? (SELECT ALL THAT APPLY.)

a)

Increasing the amplitude of a simple harmonic oscillator increases its total mechanical energy.

b)

Decreasing the amplitude of a simple harmonic oscillator decreases its period.

c)

A simple pendulum technically doesn't undergo simple harmonic motion.

d)

At its turning points, a simple harmonic oscillator has no acceleration.

e)

If two spring-mass oscillators have the same spring constant, then the oscillator with the bigger mass must have more total mechanical energy.

12.

Which of the following is true? (SELECT ALL THAT APPLY.)

a)

A simple harmonic oscillator has the greatest kinetic energy at equilibrium.

b)

A simple harmonic oscillator has the greatest potential energy at its turning points.

c)

Every oscillation, kinetic energy and potential energy reach their greatest values twice, but never at the same time.

d)

For any oscillation, either the period (in sec) or the frequency (in Hz) is greater than 1.

e)

All waves require oscillation (or vibrations), but not all oscillations result in waves.

13.

An oscillator experiences the following restoring force: Frestoring=kdF_{restoring}=k\sqrt{d} , where k is a constant and d is the oscillators distance from equilibrium. Which of the following is true?

a)

The oscillator's motion is not simply harmonic, since the restoring force it experiences isn't directly proportional to its displacement from equilibrium.

b)

The oscillator's motion is simply harmonic, since the restoring force it experiences isn't directly proportional to its displacement from equilibrium.

c)

The oscillator's motion is not simply harmonic, since the restoring force it experiences is directly proportional to its displacement from equilibrium.

d)

The oscillator's motion is simply harmonic, since the restoring force it experiences is directly proportional to its displacement from equilibrium.

e)

The oscillator's motion is simply harmonic since it experiences a restoring force, and therefore always accelerates toward equilibrium.

14.

What's the amplitude of a spring-mass oscillator with a mass of 1.4 kg, a spring constant of 312 N/m, and a maximum speed of 2 m/s?

a)

13.4 cm

b)

12.3 cm

c)

11.2 cm

d)

10.1 cm

e)

14.5 cm

15.

What's the maximum speed of a simple pendulum with a length of 9 m, if the pendulum swings through a total angle of 80º?

a)

6.4 m/s

b)

12.1 m/s

c)

8.7 m/s

d)

16.3 m/s

e)

2.8 m/s