Unit 10 Test

Question 1

If A is the amplitude of a mass on an oscillating spring, then in one period the mass travels a distance of ___________.

Answer 1

4A

Question 2

An oscillating mass is connected to a horizontal spring with a spring constant k. The force that the spring exerts on the mass is described by __________.

Answer 2

-kx

Question 3

A graph of position versus time for a spring-mass system is shown. The frequency is ___________.

Answer 3

1/8 Hz

Question 4

Simple harmonic motion is characterized by an acceleration proportional to ___________.

Answer 4

displacement

Question 5

In simple harmonic motion, the velocity is greatest when the object has the ____________.

Answer 5

minimum acceleration

Question 6

The equation of motion for the graph is _________.

Answer 6

x = 2.0sin(pi/4 + pi/2)

Question 7

Consider a block attached to a spring that is set in motion with an initial velocity of 5.00 cm / s, at an initial position of 5.00 cm. Which of the following statements concerning the motion of the block is true?

Answer 7

Its acceleration is greatest when the position of the object is less than −5.00 cm.

Question 8

A student filmed herself bungee jumping for a physics project. Using her sharply honed physics skills, she is able to make the following measurements of her own SHM. When the timing starts, the total length of travel from bottom to top of the oscillation is 10.0 m, and the total time for this travel is 5.25 s. Which of the following is the student’s equation of motion?

Answer 8

x = 5.00 m * cos(2pi/10.5s)

Question 9

The motion of a long-distance runner traveling around a circular quarter-mile track is very similar to SHM. If the runner completes one mile in 5 minutes, which of the following is his frequency?

Answer 9

1.33*10^-2 s^-1

Question 10

Consider a tuning fork of frequency 512 Hz and amplitude 1.50 mm. Which of the following are the accurate formulas for maximum displacement, maximum velocity, and maximum acceleration, respectively? Consider only the magnitude.

Answer 10

A, Aw, Aw^2

Question 11

Consider a mass-spring system with a maximum displacement of A = 0.05 m. Its position function is shown the graph below. Which of the following is the velocity at 2.50 s?

Answer 11

0.00 m/s

Question 12

A spring with a spring constant of 200 N / m is stretched to 25.0 cm and allowed to oscillate with an attached mass at a frequency of 3 Hz. When x = 2.5 cm, which of the following is the total energy?

Answer 12

6.25 J

Question 13

A simple pendulum on Earth has a period of 8.0 s. Which of the following is the approximate period of this pendulum on an asteroid where the acceleration due to gravity is roughly 1/16 that of Earth?

Answer 13

32 s

Question 14

A thin, circular hoop with a radius of 0.22m is hanging on a nail. The hoop is oscillating back and forth through small angles like a physical pendulum. The moment of inertia of the hoop for the rotational axis passing through the nail is I = 2mr^2. Which of the follow is the proper expression for the period of the hoop?

Answer 14

T = 2pi*sqrt(2r/g)

Question 15

Which of the following has the greatest period?

Answer 15

a simple pendulum of length 2R

Question 16

What is the period of a pendulum if for small angle oscillations, its horizontal coordinate can be described by x = 4.0 + 4.0 cos (π t)?

Answer 16

2.0 s

Question 17

An oddly paranoid man is locked in a room with only his clothes and a digital watch. Using his shoes, he constructs a simple pendulum 40.0 cm long with a mass of 1.00 kg. He hopes to determine whether he is on Earth or somewhere else. Which of the following is the equation for the angular velocity of this pendulum? Assume that the pendulum is simple and that A is the displacement from the vertical in meters.

Answer 17

w = -A0*sqrt(g/l)sin(sqrt(g/l))

Question 18

A candelabra is hung from the end of a 10.0 m chain swinging with an initial amplitude of 0.10 rad and an initial velocity of 1 m / s. How high (maximum angle) will the candelabra swing?

Answer 18

theta = arccos( cos theta - v^2/2gl)

Question 19

At an airport, an early biplane is suspended from the celing by a cable attached to the propeller end and a ring hooked through the tail end. Suppose that one of the cables breaks, causing the biplane to swing in simple harmonic motion about the tail after a few minutes of chaos. Which of the following factors has the largest effect on the period of this physical pendulum?

Answer 19

The engine is removed, reducing the mass of the propeller end of the plane.

Question 20

Which of the following is the equation of motion of an oscillatory system with a damping force, bv ?

Answer 20

F = –kx-bv

Question 21

If a system with natural frequency w0 is driven with frequency wd by an external force, then which of the following is the oscillation frequency, w, of the system?

Answer 21

w = wd

Question 22

Which of the following is the equation of the motion of a spring that is externally driven with frequency wd? Assume there is no damping

Answer 22

F = -kx + F0 cos wdt

Question 23

Suppose a damping force Fd = -bv, where v is the velocity is applied to an oscillatory system. Which of the following is the unit of the coefficient b?

Answer 23

kg / s

Question 24

The general solution of an oscillatory system is given by x(t) = Acos(wt + theta). Which two constants depend on the initial position and initial velocity of the system?

Answer 24

phase and amplitude

Question 25

Which of the following is the general solution of a damped oscillating system?

Answer 25

x(t)= Ae ^-bt/2m cos (wt +o)