Principles Of Physics A Calculus-Based Text, Volume 1, 5th International Edition By Raymond A. Serway – Test Bank

Principles Of Physics A Calculus-Based Text Volume 1 (5th Int Edition) – Raymond A. Serway

Chapter 12—Oscillatory Motion

MULTIPLE CHOICE

1. A body of mass 5.0 kg is suspended by a spring which stretches 10 cm when the mass is attached. It is then displaced downward an additional 5.0 cm and released. Its position as a function of time is approximately
a. y = 0.10 sin 9.9t
b. y = 0.10 cos 9.9t
c. y = 0.10 cos (9.9t + .1)
d. y = 0.10 sin (9.9t + 5)
e. y = 0.05 cos 9.9t

ANS: E PTS: 2 DIF: Average

2. A body oscillates with simple harmonic motion along the x axis. Its displacement varies with time according to the equation x = 5.0 cos (t). The magnitude of the acceleration (in m/s2) of the body at t = 1.0 s is approximately
a. 3.5
b. 49
c. 14
d. 43
e. 4.3

ANS: B PTS: 2 DIF: Average

3. A body oscillates with simple harmonic motion along the x axis. Its displacement varies with time according to the equation x = 5 sin (t + /3). The phase (in rad) of the motion at t = 2 s is
a. 7/3
b. /3
c. 
d. 5/3
e. 2

ANS: A PTS: 2 DIF: Average

4. A body oscillates with simple harmonic motion along the x axis. Its displacement varies with time according to the equation x = 5.0 sin (t + /3). The velocity (in m/s) of the body at t = 1.0 s is
a. +7.9
b. 7.9
c. 14
d. +14
e. 5.0

ANS: B PTS: 2 DIF: Average

5. If y = 0.02 sin (30x  400t) (SI units), the frequency of the wave is
a. 30 Hz
b. 15/ Hz
c. 200/ Hz
d. 400 Hz
e. 800 Hz

ANS: C PTS: 2 DIF: Average

6. If y = 0.02 sin (30x  400t) (SI units), the wavelength of the wave is
a. /15 m
b. 15/ m
c. 60 m
d. 4.2 m
e. 30 m

ANS: A PTS: 2 DIF: Average

7. If y = 0.02 sin (30x  400t) (SI units), the angular frequency of the wave is
a. 30 rad/s
b. 30/2 rad/s
c. 400/2 rad/s
d. 400 rad/s
e. 40/3 rad/s

ANS: D PTS: 1 DIF: Easy

8. Write the equation of a wave, traveling along the +x axis with an amplitude of 0.02 m, a frequency of 440 Hz, and a speed of 330 m/sec.
a. y = 0.02 sin [880(x/330  t)]
b. y = 0.02 cos [880 x/330  440t]
c. y = 0.02 sin [880(x/330 + t)]
d. y = 0.02 sin [2(x/330 + 440t)]
e. y = 0.02 cos [2(x/330 + 440t)]

ANS: A PTS: 2 DIF: Average

9. For the wave described by , determine the first positive x coordinate where y is a maximum when t = 0.
a. 16 m
b. 8 m
c. 4 m
d. 2 m
e. 13 m

ANS: C PTS: 2 DIF: Average

10. For the wave described by , determine the x coordinate of the second maximum when t = 0.
a. 20 m
b. 18 m
c. 24 m
d. 28 m
e. 16 m

ANS: A PTS: 2 DIF: Average