Question 1

The total mechanical energy of a simple harmonic oscillator is

Accepted Answer

A)  zero as it passes the equilibrium point. 
B)  zero when it reaches the maximum displacement. 
C)  a maximum when it passes through the equilibrium point. 
D)  a minimum when it passes through the equilibrium point. 
E)  constant. 
A)  zero as it passes the equilibrium point. 
B)  zero when it reaches the maximum displacement. 
C)  a maximum when it passes through the equilibrium point. 
D)  a minimum when it passes through the equilibrium point. 
E)  constant.

Question 2

If the frequency of the motion of a simple harmonic oscillator is doubled, by what factor does the maximum acceleration 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 3

In designing buildings to be erected in an area prone to earthquakes, what relationship should the designer try to achieve between the natural frequencies of the building and the typical earthquake frequencies?

Accepted Answer

If possible,the natural freque

Question 4

A 4.20-g bullet embeds itself in a 20.0-kg block, which is attached to a horizontal spring with a force constant of 950 N/m. The maximum compression of the spring is 2.10 cm. What is the speed of the bullet just before it hits the block?

Accepted Answer

A)  690 m/s 
B)  700 m/s 
C)  672 m/s 
D)  900 m/s 
E)  952 m/s 
A)  690 m/s 
B)  700 m/s 
C)  672 m/s 
D)  900 m/s 
E)  952 m/s

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. What is the maximum acceleration of the needle?

Accepted Answer

A)  8.26 cm/s2 
B)  16.5 cm/s2 
C)  18.1 cm/s2 
D)  326 cm/s2 
E)  163 cm/s2 
A)  8.26 cm/s2 
B)  16.5 cm/s2 
C)  18.1 cm/s2 
D)  326 cm/s2 
E)  163 cm/s2

Question 6

A 92-kg man climbs onto a car with worn out shock absorbers and this causes the car to drop down 4.5 cm. As he drives along, he hits a bump, and this starts the car oscillating at an angular frequency of 4.52 rad/s. What is the mass of the car?

Accepted Answer

A)  890 kg 
B)  760 kg 
C)  920 kg 
D)  990 kg 
E)  1900 kg 
A)  890 kg 
B)  760 kg 
C)  920 kg 
D)  990 kg 
E)  1900 kg

Question 7

An air-track cart is attached to a spring and completes one oscillation every 5.67 s. At t = 0 s the cart is released at a distance of 0.250 m from its equilibrium position. What is the position of the cart when t = 29.6 s?

Accepted Answer

A)  x = 0.0460 m 
B)  x = 0.210 m 
C)  x = 0.218 m 
D)  x = 0.342 m 
E)  x = -0.218 m 
A)  x = 0.0460 m 
B)  x = 0.210 m 
C)  x = 0.218 m 
D)  x = 0.342 m 
E)  x = -0.218 m

Question 8

An 85.0-kg man climbs onto a 900-kg car with worn out shock absorbers and whose springs have an effective force constant of 125 kN/m. As he drives along, he hits a bump, and this starts the car oscillating with simple harmonic motion. What is the smallest amplitude of the oscillations that will cause him to bounce from his seat?

Accepted Answer

A)  7.06 cm 
B)  7.73 cm 
C)  7.88 cm 
D)  8.95 cm 
E)  8.42 cm 
A)  7.06 cm 
B)  7.73 cm 
C)  7.88 cm 
D)  8.95 cm 
E)  8.42 cm

Question 9

A meter stick with a mass of 89.5 g is being supported at the 50.0 cm mark by a pivot that is 1.00 cm above the center of mass of the meter stick. The moment of inertia of the stick about that point is 0.00746 kg∙m2. What is the period of oscillation of this system?

Accepted Answer

A)  2.01 s 
B)  2.41 s 
C)  5.79 s 
D)  2.89 s 
E)  4.02 s 
A)  2.01 s 
B)  2.41 s 
C)  5.79 s 
D)  2.89 s 
E)  4.02 s

Question 10

A simple harmonic oscillator has an amplitude of 3.50 cm and a maximum speed of 26.0 cm/s. What is its speed when the displacement is 1.75 cm?

Accepted Answer

A)  12.0 cm/s 
B)  22.5 cm/s 
C)  14.2 cm/s 
D)  15.0 cm/s 
E)  17.0 cm/s 
A)  12.0 cm/s 
B)  22.5 cm/s 
C)  14.2 cm/s 
D)  15.0 cm/s 
E)  17.0 cm/s

Question 11

A Christmas ornament made from a thin hollow glass sphere hangs from a small hook at its surface. It is observed to oscillate with a frequency of 2.50 Hz. What is the radius of the ornament? The moment of inertia of a hollow sphere of mass M and radius R about a point on its edge is 5MR2/3.

Accepted Answer

A)  1.84 cm 
B)  3.68 cm 
C)  2.39 cm 
D)  3.98 cm 
E)  4.69 cm 
A)  1.84 cm 
B)  3.68 cm 
C)  2.39 cm 
D)  3.98 cm 
E)  4.69 cm

Question 12

A tuning fork is set into vibration with a frequency of 512 Hz. How many oscillations does it undergo in 1 minute?

Accepted Answer

A)  30700 
B)  8.53 
C)  26.8 
D)  1610 
E)  512 
A)  30700 
B)  8.53 
C)  26.8 
D)  1610 
E)  512

Question 13

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. What is the maximum speed of the needle?

Accepted Answer

A)  3.18 cm/s 
B)  4.51 cm/s 
C)  20.3 cm/s 
D)  10.1 cm/s 
E)  6.36 cm/s 
A)  3.18 cm/s 
B)  4.51 cm/s 
C)  20.3 cm/s 
D)  10.1 cm/s 
E)  6.36 cm/s

Question 14

A mass oscillates on the end of a spring, both on Earth and on the Moon. Where is the period the greatest?

Accepted Answer

A)  Earth 
B)  the Moon 
C)  the same on both Earth and the Moon 
D)  Cannot be determined from the information given. 
A)  Earth 
B)  the Moon 
C)  the same on both Earth and the Moon 
D)  Cannot be determined from the information given.

Question 15

A mass on a spring undergoes SHM. When the mass is at maximum displacement from equilibrium, its instantaneous acceleration

Accepted Answer

A)  is a 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 a 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 16

A mass is attached to a vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a minimum?

Accepted Answer

A)  at either A or B 
B)  midway between A and B 
C)  one-third of the way between A and B 
D)  one-fourth of the way between A and B 
E)  none of the above 
A)  at either A or B 
B)  midway between A and B 
C)  one-third of the way between A and B 
D)  one-fourth of the way between A and B 
E)  none of the above

Question 17

A mass is attached to a vertical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a minimum?

Accepted Answer

A)  at either A or B 
B)  midway between A and B 
C)  one-third of the way between A and B 
D)  one-fourth of the way between A and B 
E)  none of the above 
A)  at either A or B 
B)  midway between A and B 
C)  one-third of the way between A and B 
D)  one-fourth of the way between A and B 
E)  none of the above

Question 18

A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. (a) What is the amplitude of vibration?
(b) At what location are the kinetic energy and the potential energy the same?

Accepted Answer

The answer of A 0.50-kg mass is attached to a...

Question 19

A pendulum that was originally erected by Foucault at the Pantheon in Paris for the Paris Exhibition in 1851 was restored in 1995. It has a 28.0 kg sphere suspended from a 67.0-m light cable. How long would it take for the bob in this pendulum to move from the position of maximum displacement back to the equilibrium point?

Accepted Answer

A)  4.11 s 
B)  21.5 s 
C)  2.58 s 
D)  32.2 s 
E)  42.9 s 
A)  4.11 s 
B)  21.5 s 
C)  2.58 s 
D)  32.2 s 
E)  42.9 s

Question 20

If the amplitude of the motion of a simple harmonic oscillator is doubled, by what factor does the frequency 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

Exam 13: Oscillations About Equilibrium

The total mechanical energy of a simple harmonic oscillator is

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

In designing buildings to be erected in an area prone to earthquakes, what relationship should the designer try to achieve between the natural frequencies of the building and the typical earthquake frequencies?

A 4.20-g bullet embeds itself in a 20.0-kg block, which is attached to a horizontal spring with a force constant of 950 N/m. The maximum compression of the spring is 2.10 cm. What is the speed of the bullet just before it hits the block?

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. What is the maximum acceleration of the needle?

A 92-kg man climbs onto a car with worn out shock absorbers and this causes the car to drop down 4.5 cm. As he drives along, he hits a bump, and this starts the car oscillating at an angular frequency of 4.52 rad/s. What is the mass of the car?

An air-track cart is attached to a spring and completes one oscillation every 5.67 s. At t = 0 s the cart is released at a distance of 0.250 m from its equilibrium position. What is the position of the cart when t = 29.6 s?

A meter stick with a mass of 89.5 g is being supported at the 50.0 cm mark by a pivot that is 1.00 cm above the center of mass of the meter stick. The moment of inertia of the stick about that point is 0.00746 kg∙m2. What is the period of oscillation of this system?

A simple harmonic oscillator has an amplitude of 3.50 cm and a maximum speed of 26.0 cm/s. What is its speed when the displacement is 1.75 cm?

A Christmas ornament made from a thin hollow glass sphere hangs from a small hook at its surface. It is observed to oscillate with a frequency of 2.50 Hz. What is the radius of the ornament? The moment of inertia of a hollow sphere of mass M and radius R about a point on its edge is 5MR2/3.

A tuning fork is set into vibration with a frequency of 512 Hz. How many oscillations does it undergo in 1 minute?

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. What is the maximum speed of the needle?

A mass oscillates on the end of a spring, both on Earth and on the Moon. Where is the period the greatest?

A mass on a spring undergoes SHM. When the mass is at maximum displacement from equilibrium, its instantaneous acceleration

A mass is attached to a vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a minimum?

A mass is attached to a vertical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a minimum?

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

Introduction to Physics

One-Dimensional Kinematics

Vectors in Physics

Two-Dimensional Kinematics

Newtons Laws of Motion

Applications of Newtons Laws

Work and Kinetic Energy

Potential Energy and Conservation of Energy

Linear Momentum and Collisions

Rotational Kinematics and Energy

Rotational Dynamics and Static Equilibrium

Gravity

Waves and Sound

Fluids

Temperature and Heat

Phases and Phase Changes

The Laws of Thermodynamics

Electric Charges, Forces, and Fields

Electric Potential and Electric Potential Energy

Electric Current and Direct-Current Circuits

Magnetism

Magnetic Flux and Faradays Law of Induction

Alternating-Current Circuits

Electromagnetic Waves

Geometrical Optics

Optical Instruments

Physical Optics: Interference and Diffraction

Relativity

Quantum Physics

Atomic Physics

Nuclear Physics and Nuclear Radiation

Filters

A meter stick with a mass of 89.5 g is being supported at the 50.0 cm mark by a pivot that is 1.00 cm above the center of mass of the meter stick. The moment of inertia of the stick about that point is 0.00746 kg∙m². What is the period of oscillation of this system?

A Christmas ornament made from a thin hollow glass sphere hangs from a small hook at its surface. It is observed to oscillate with a frequency of 2.50 Hz. What is the radius of the ornament? The moment of inertia of a hollow sphere of mass M and radius R about a point on its edge is 5MR²/3.