Physics: An Introduction Chapter 13 -- Practice Questions

Chapter 13: Oscillations about Equilibrium
Practice Questions

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The unit for the spring constant is

N/m

The unit for the period is

m*s

The unit for frequency is

s²

The animation shows the Tacoma Narrows Bridge (see Online Destinations) shortly before its collapse. What is its frequency?

.1 Hz

.25 Hz

.50 Hz

1 Hz

The animation shows the Tacoma Narrows Bridge (see Online Destinations) shortly before its collapse. What is the amplitude?

.4 m

4 m

8 m

14 m

If the effective spring constant of a 2000 kg older car (with poor shocks) is 60000 N/m, what is the period of its vibration after hitting a bump?

.15 s

.5 s

1.15 s

2 s

What is the effective spring constant of a 10 kg, 1.5 m simple pendulum?

6.5 N

98 N

9.8 N

65 N/m

In the Simple Harmonic Equation

**x = 5*cos(12t+p/6)**

the amplitude is

12.

p/6.

In the equation in question 9 the angular frequency is

12.

p/6.

10.

To the nearest Hz, the frequency of the oscillator in question 9 is

1 Hz.

2 Hz.

3 Hz.

4 Hz.

11.

The starting position of the oscillator described by

**x = 5*cos(10t+p/6)**

0 m.

2.3 m.

4.3 m.

5 m.

12.

The starting velocity for the oscillator in question 12 is

-60 m/s

-30 m/s.

0 m/s.

30 m/s.

60 m/s.

13.

What is a 30 degree angle expressed in radians?

p/9

p/6

p/4

p/3

p/2

14.

For which of the angles below is the sine of the angle within approximately 5% of the value of the angle expressed in radians?

15 degrees

30 degrees

45 degrees

60 degrees

90 degrees

15.

How the period of a uniform wooden rod of length L compare to that of a simple pendulum of the same mass and length.

greater than

equal to

less than

16.

If the damping force on a harmonic oscillator is -2v and the resulting motion is described by

**x = 5*e^-2tcos(4t)**

what is the mass of the oscillator? (All numbers are expressed in appropriate combinations of metric units.)

0.5 kg

1 kg

1.5 kg

2 kg

17.

What is the spring constant of the oscillator in question 17?

18.

Which of the following is true for the oscillator described in questions 18 and 19?

It is overdamped.

It is critically damped.

It is underdamped.

19.

A hula hoop is from a pivot and gently rocks back and forth. If the period of a simple penulum of length D is T what is the period of the hula hoops motion?

1.414T

T/1.414

T/2

20.

What would be the answer to question 20 if it was a disk insead of a hula hoop?

0.75p

1.27T

.87T

21.

The period of a 10.00 meter simple penulum is accurately determined to be 2 p*1.015. What is the local value for g?

9.58 m/s²

9.61 m/s²

9.71 m/s²

9.81 m/s²

9.91 m/s²

22.

A 0.25 kg mass hung from a vertical spring oscillates with a period of 1.0 second. Howfar does it stretch the spring when at rest?

24.8 cm

20.8 cm

18.8 cm

12.8 cm

x = 5*cos(12t+p/6)

x = 5*cos(10t+p/6)

x = 5*e-2tcos(4t)

**x = 5*cos(12t+p/6)**

**x = 5*cos(10t+p/6)**

**x = 5*e^-2tcos(4t)**