Question 1

The simple harmonic motion of an object is described by the graph shown in the figure.What is the equation for the position x(t)of the object as a function of time t?

Accepted Answer

A)  x(t) = (4.0 m)sin[(2π/8.0 s)t + π/3.0] 
B)  x(t) = (4.0 m)cos[(2π/8.0 s)t + 2π/3.0] 
C)  x(t) = (4.0 m)cos[(2π/8.0 s)t + π/3.0] 
D)  x(t) = (4.0 m)cos[(2π/8.0 s)t - π/3.0] 
E)  x(t) = (8.0 m)cos[(2π/8.0 s)t + π/3.0] 
A)  x(t) = (4.0 m)sin[(2π/8.0 s)t + π/3.0] 
B)  x(t) = (4.0 m)cos[(2π/8.0 s)t + 2π/3.0] 
C)  x(t) = (4.0 m)cos[(2π/8.0 s)t + π/3.0] 
D)  x(t) = (4.0 m)cos[(2π/8.0 s)t - π/3.0] 
E)  x(t) = (8.0 m)cos[(2π/8.0 s)t + π/3.0]

Question 2

A 25 kg object is undergoing lightly damped harmonic oscillations.If the maximum displacement of the object from its equilibrium point drops to 1/3 its original value in 1.8 s,what is the value of the damping constant b?

Accepted Answer

A)  31 kg/s 
B)  34 kg/s 
C)  37 kg/s 
D)  40 kg/s 
A)  31 kg/s 
B)  34 kg/s 
C)  37 kg/s 
D)  40 kg/s

Question 3

The amplitude of a lightly damped harmonic oscillator decreases from 60.0 cm to 40.0 cm in 10.0 s.What will be the amplitude of the harmonic oscillator after another 10.0 s passes?

Accepted Answer

A)  20.0 cm 
B)  167 cm 
C)  30.0 cm 
D)  0.00 cm 
E)  26.7 cm 
A)  20.0 cm 
B)  167 cm 
C)  30.0 cm 
D)  0.00 cm 
E)  26.7 cm

Question 4

The position x of an object varies with time t.For which of the following equations relating x and t is the motion of the object simple harmonic motion? (There may be more than one correct choice.)

Accepted Answer

A)  x = 5 sin23t 
B)  x = 8 cos 3t 
C)  x = 4 tan 2t 
D)  x = 5 sin 3t 
E)  x = 2 cos(3t - 1) 
A)  x = 5 sin23t 
B)  x = 8 cos 3t 
C)  x = 4 tan 2t 
D)  x = 5 sin 3t 
E)  x = 2 cos(3t - 1)

Question 5

If we double only the amplitude of a vibrating ideal mass-and-spring system,the mechanical energy of the system

Accepted Answer

A)  increases by a factor of   . 
B)  increases by a factor of 2. 
C)  increases by a factor of 3. 
D)  increases by a factor of 4. 
E)  does not change. 
A)  increases by a factor of   . 
B)  increases by a factor of 2. 
C)  increases by a factor of 3. 
D)  increases by a factor of 4. 
E)  does not change.

Question 6

The position of an object that is oscillating on an ideal spring is given by the equation   .At time   ,
(a)how fast is the object moving?
(b)what is the magnitude of the acceleration of the object?

Accepted Answer

(a)13.3 cm

Question 7

A frictionless pendulum clock on the surface of the earth has a period of 1.00 s.On a distant planet,the length of the pendulum must be shortened slightly to have a period of 1.00 s.What is true about the acceleration due to gravity on the distant planet?

Accepted Answer

A)  The gravitational acceleration on the planet is slightly greater than g. 
B)  The gravitational acceleration on the planet is slightly less than g. 
C)  The gravitational acceleration on the planet is equal to g. 
D)  We cannot tell because we do not know the mass of the pendulum. 
A)  The gravitational acceleration on the planet is slightly greater than g. 
B)  The gravitational acceleration on the planet is slightly less than g. 
C)  The gravitational acceleration on the planet is equal to g. 
D)  We cannot tell because we do not know the mass of the pendulum.

Question 8

If we double only the spring constant of a vibrating ideal mass-and-spring system,the mechanical energy of the system

Accepted Answer

A)  increases by a factor of   . 
B)  increases by a factor of 2. 
C)  increases by a factor of 3. 
D)  increases by a factor of 4. 
E)  does not change. 
A)  increases by a factor of   . 
B)  increases by a factor of 2. 
C)  increases by a factor of 3. 
D)  increases by a factor of 4. 
E)  does not change.

Question 9

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.
(a)What is the maximum speed of the needle?
(b)What is the maximum acceleration of the needle?

Accepted Answer

(a)20.3 cm

Question 10

The x component of the velocity of an object vibrating along the x-axis obeys the equation   .
(a)What is the amplitude of the motion of this object?
(b)What is the maximum acceleration of the vibrating object?

Accepted Answer

(a)0.0175

Exam 14: Periodic Motion

The simple harmonic motion of an object is described by the graph shown in the figure.What is the equation for the position x(t)of the object as a function of time t?

A 25 kg object is undergoing lightly damped harmonic oscillations.If the maximum displacement of the object from its equilibrium point drops to 1/3 its original value in 1.8 s,what is the value of the damping constant b?

The amplitude of a lightly damped harmonic oscillator decreases from 60.0 cm to 40.0 cm in 10.0 s.What will be the amplitude of the harmonic oscillator after another 10.0 s passes?

The position x of an object varies with time t.For which of the following equations relating x and t is the motion of the object simple harmonic motion? (There may be more than one correct choice.)

If we double only the amplitude of a vibrating ideal mass-and-spring system,the mechanical energy of the system

The position of an object that is oscillating on an ideal spring is given by the equation .At time , (a)how fast is the object moving? (b)what is the magnitude of the acceleration of the object?

A frictionless pendulum clock on the surface of the earth has a period of 1.00 s.On a distant planet,the length of the pendulum must be shortened slightly to have a period of 1.00 s.What is true about the acceleration due to gravity on the distant planet?

If we double only the spring constant of a vibrating ideal mass-and-spring system,the mechanical energy of the system

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. (a)What is the maximum speed of the needle? (b)What is the maximum acceleration of the needle?

The x component of the velocity of an object vibrating along the x-axis obeys the equation . (a)What is the amplitude of the motion of this object? (b)What is the maximum acceleration of the vibrating object?

Units,physical Quantities,and Vectors

Motion Along a Straight Line

Motion in Two or Three Dimensions

Newtons Laws of Motion

Applying Newtons Laws

Work and Kinetic Energy

Potential Energy and Energy Conservation

Momentum,impulse,and Collisions

Rotation of Rigid Bodies

Dynamics of Rotational Motion

Equilibrium and Elasticity

Fluid Mechanics

Gravitation

Mechanical Waves

Sound and Hearing

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

The Second Law of Thermodynamics

Electric Charge and Electric Field

Gausss Law

Electric Potential

Capacitance and Dielectrics

Current,resistance,and Electromotive Force

Direct-Current Circuits

Magnetic Field and Magnetic Forces

Sources of Magnetic Field

Electromagnetic Induction

Inductance

Alternating Current

Electromagnetic Waves

The Nature and Propagation of Light

Geometric Optics

Interference

Diffraction

Relativity

Photons: Light Waves Behaving As Particles

Particles Behaving As Waves

Quantum Mechanics

Atomic Structure

Molecules and Condensed Matter

Nuclear Physics

Particle Physics and Cosmology

Filters