Question 1

A 0.25 kg harmonic oscillator has a total mechanical energy of $4.1 \mathrm {~J}$ If the oscillation amplitude is $20.0 \mathrm {~cm} ,$ what is the oscillation frequency?

Accepted Answer

A)  4.6 Hz 
B)  1.4 Hz 
C)  2.3 Hz 
D)  3.2 Hz 
A)  4.6 Hz 
B)  1.4 Hz 
C)  2.3 Hz 
D)  3.2 Hz

Question 2

An object is attached to a vertical spring and bobs up and down between points A and B. Where is the object 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)  at none of the above points 
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)  at none of the above points

Question 3

What is the length of a simple pendulum with a period of 2.0 s?

Accepted Answer

A)  20 m 
B)  0.99 m 
C)  1.2 m 
D)  1.6 m 
E)  0.87 m 
A)  20 m 
B)  0.99 m 
C)  1.2 m 
D)  1.6 m 
E)  0.87 m

Question 4

A 0.50-kg object is attached to an ideal spring of spring constant (force 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. At what distance from the equilibrium position are the kinetic energy and potential energy of the system the same?

Accepted Answer

A)  0.017 m 
B)  0.029 m 
C)  0.12 m 
D)  0.17 m 
A)  0.017 m 
B)  0.029 m 
C)  0.12 m 
D)  0.17 m

Question 5

The position of an object that is oscillating on an ideal spring is given by x = (17.4 cm) cos[(5.46 s-1)t]. Write an expression for the velocity of the particle as a function of time using the sine function.

Accepted Answer

v = - (95.

Question 6

A 1.53-kg piece of iron is hung by a vertical ideal spring. When perturbed slightly, the system is moves up and down in simple harmonic oscillations with a frequency of 1.95 Hz and an amplitude of 7.50 cm. If we choose the total potential energy (elastic and gravitational) to be zero at the equilibrium position of the hanging iron, what is the total mechanical energy of the system?

Accepted Answer

A)  0.844 J 
B)  0.646 J 
C)  0.633 J 
D)  0.955 J 
E)  0.000 J 
A)  0.844 J 
B)  0.646 J 
C)  0.633 J 
D)  0.955 J 
E)  0.000 J

Question 7

A 0.150-kg cart that is attached to an ideal spring with a force constant (spring constant) of 3.58 N/m undergoes simple harmonic oscillations with an amplitude of 7.50 cm. What is the total mechanical energy of the system?

Accepted Answer

A)  0.0201 J 
B)  0.0101 J 
C)  0.269 J 
D)  0.134 J 
E)  0 J 
A)  0.0201 J 
B)  0.0101 J 
C)  0.269 J 
D)  0.134 J 
E)  0 J

Question 8

A 2.0-kg block on a frictionless table is connected to two springs whose opposite ends are fixed to walls, as shown in the figure. The springs have force constants (spring constants) k1 and k2. What is the oscillation angular frequency of the block if $k _ { 1 } = 7.6 \mathrm {~N} / \mathrm { m }$ and $k _ { 2 } = 5.0 \mathrm {~N} / \mathrm { m } ?$

Accepted Answer

A)  2.5 rad/s 
B)  3.5 rad/s 
C)  0.40 rad/s 
D)  0.56 rad/s 
A)  2.5 rad/s 
B)  3.5 rad/s 
C)  0.40 rad/s 
D)  0.56 rad/s

Question 9

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

Accepted Answer

A)  2 
B)  4 
C)  It does not change. 
D)  1/2 
E)  1/4 
A)  2 
B)  4 
C)  It does not change. 
D)  1/2 
E)  1/4

Question 10

Grandfather clocks are designed so they can be adjusted by moving the weight at the bottom of the pendulum up or down. Suppose you have a grandfather clock at home that runs slow. Which of the following adjustments of the weight would make it more accurate? (There could be more than one correct choice.)

Accepted Answer

A)  Raise the weight. 
B)  Lower the weight. 
C)  Add more mass to the weight. 
D)  Remove some mass from the weight. 
E)  Increase the amplitude of swing by a small amount. 
A)  Raise the weight. 
B)  Lower the weight. 
C)  Add more mass to the weight. 
D)  Remove some mass from the weight. 
E)  Increase the amplitude of swing by a small amount.

Question 11

An object undergoing simple harmonic motion has a maximum displacement of $6.2 \mathrm {~m}$ at $t = 0.00 \mathrm {~s}$ If the angular frequency of oscillation is $1.6 \mathrm { rad } / \mathrm { s } \text {, }$ what is the object's displacement when $t = 3.5 \mathrm {~s} ?$

Accepted Answer

A)  4.8 m 
B)  5.6 m 
C)  3.7 m 
D)  3.1 m 
A)  4.8 m 
B)  5.6 m 
C)  3.7 m 
D)  3.1 m

Question 12

A pendulum of length L is suspended from the ceiling of an elevator. When the elevator is at rest the period of the pendulum is T. How does the period of the pendulum change when the elevator moves downward with constant acceleration?

Accepted Answer

A)  The period does not change. 
B)  The period increases. 
C)  The period decreases. 
D)  The period becomes zero. 
E)  The period increases if the upward acceleration is more than g/2 but decreases if the upward acceleration is less than g/2. 
A)  The period does not change. 
B)  The period increases. 
C)  The period decreases. 
D)  The period becomes zero. 
E)  The period increases if the upward acceleration is more than g/2 but decreases if the upward acceleration is less than g/2.

Question 13

The figure shows a graph of the position x as a function of time t for a system undergoing simple harmonic motion. Which one of the following graphs represents the velocity of this system as a function of time?   a)
 
b)
 
c)
 
d)

Accepted Answer

A)  graph a 
B)  graph b 
C)  graph c 
D)  graph d 
A)  graph a 
B)  graph b 
C)  graph c 
D)  graph d

Question 14

An object oscillates such that its position x as a function of time t obeys the equation x = (0.222 m) sin(314 s-1 t), where t is in seconds.
(a) In one period, what total distance does the object move?
(b) What is the frequency of the motion?
(c) What is the position of the object when t = 1.00 s?

Accepted Answer

(a) 0.888

Question 15

A 0.50-kg box is attached to an ideal spring of force constant (spring constant) 20 N/m on a horizontal, frictionless floor. The box 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 distance from the equilibrium position are the kinetic energy and the potential energy the same?

Accepted Answer

(a) 0.24 m

Question 16

An object of mass 6.8 kg is attached to an ideal spring of force constant (spring constant) 1720 N/m. The object is set into simple harmonic motion, with an initial velocity of $v\mathrm { o } = 4.1 \mathrm {~m} / \mathrm { s }$ and an initial displacement of $x _ { 0 } = 0.11 \mathrm {~m} .$ Calculate the maximum speed the object raches during its motion.

Accepted Answer

The answer of An object of mass 6.8 kg is...

Question 17

If a pendulum makes 12 complete swings in 8.0 s, what are its (a) frequency and (b) period?

Accepted Answer

(a) 1.5 Hz

Question 18

When a laboratory sample of unknown mass is placed on a vertical spring-scale having a force constant (spring constant) of 467 N/m, the system obeys the equation y = (4.4 cm) cos(33.3 s-1 t). What is the mass of this laboratory sample?

Accepted Answer

Question 19

In simple harmonic motion, when is the magnitude of the acceleration the greatest? (There could be more than one correct choice.)

Accepted Answer

A)  when the speed is a maximum 
B)  when the displacement is a zero 
C)  when the magnitude of the displacement is a maximum 
D)  when the potential energy is a maximum 
E)  when the kinetic energy is a minimum 
A)  when the speed is a maximum 
B)  when the displacement is a zero 
C)  when the magnitude of the displacement is a maximum 
D)  when the potential energy is a maximum 
E)  when the kinetic energy is a minimum

Question 20

Identical balls oscillate with the same period T on Earth. Ball A is attached to an ideal spring and ball B swings back and forth to form a simple pendulum. These systems are now taken to the Moon, where g = 1.6 m/s2, and set into oscillation. Which of the following statements about these systems are true? (There could be more than one correct choice.)

Accepted Answer

A)  Both systems will have the same period on the Moon as on Earth. 
B)  On the Moon, ball A will take longer to complete one cycle than ball B. 
C)  On the Moon, ball B will take longer to complete one cycle than ball A. 
D)  On the Moon, ball A will execute more vibrations each minute than ball B. 
E)  On the Moon, ball B will execute more vibrations each minute than ball A. 
A)  Both systems will have the same period on the Moon as on Earth. 
B)  On the Moon, ball A will take longer to complete one cycle than ball B. 
C)  On the Moon, ball B will take longer to complete one cycle than ball A. 
D)  On the Moon, ball A will execute more vibrations each minute than ball B. 
E)  On the Moon, ball B will execute more vibrations each minute than ball A.

Exam 14: Oscillations

A 0.25 kg harmonic oscillator has a total mechanical energy of 4.1 J4.1 \mathrm {~J}4.1 J If the oscillation amplitude is 20.0 cm,20.0 \mathrm {~cm} ,20.0 cm, what is the oscillation frequency?

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

What is the length of a simple pendulum with a period of 2.0 s?

The position of an object that is oscillating on an ideal spring is given by x = (17.4 cm) cos[(5.46 s-1)t]. Write an expression for the velocity of the particle as a function of time using the sine function.

A 0.150-kg cart that is attached to an ideal spring with a force constant (spring constant) of 3.58 N/m undergoes simple harmonic oscillations with an amplitude of 7.50 cm. What is the total mechanical energy of the system?

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

A pendulum of length L is suspended from the ceiling of an elevator. When the elevator is at rest the period of the pendulum is T. How does the period of the pendulum change when the elevator moves downward with constant acceleration?

The figure shows a graph of the position x as a function of time t for a system undergoing simple harmonic motion. Which one of the following graphs represents the velocity of this system as a function of time? a) b) c) d)

An object oscillates such that its position x as a function of time t obeys the equation x = (0.222 m) sin(314 s-1 t), where t is in seconds. (a) In one period, what total distance does the object move? (b) What is the frequency of the motion? (c) What is the position of the object when t = 1.00 s?

If a pendulum makes 12 complete swings in 8.0 s, what are its (a) frequency and (b) period?

When a laboratory sample of unknown mass is placed on a vertical spring-scale having a force constant (spring constant) of 467 N/m, the system obeys the equation y = (4.4 cm) cos(33.3 s-1 t). What is the mass of this laboratory sample?

In simple harmonic motion, when is the magnitude of the acceleration the greatest? (There could be more than one correct choice.)

Representing Motion

Motion in One Dimension

Vectors and Motion in Two Dimensions

Forces and Newtons Laws of Motion

Applying Newtons Laws

Gravity

Rotational Motion

Equilibrium Ad Elasticity

Momentum

Energy and Work

Using Energy

Thermal Properties of Matter

Fluids

Traveling Waves and Sound

Superposition and Standing Waves

Wave Optics

Ray Optics

Optical Instruments

Electric Fields and Forces

Electric Potential

Current and Resistance

Circuits

Magnetic Fields and Forces

EM Induction and Em Waves

AC Electricity

Relativity

Quantum Physics

Atoms and Molecules

Nuclear Physics

Filters

A 0.25 kg harmonic oscillator has a total mechanical energy of $4.1 \mathrm {~J}$ If the oscillation amplitude is $20.0 \mathrm {~cm} ,$ what is the oscillation frequency?

The position of an object that is oscillating on an ideal spring is given by x = (17.4 cm) cos[(5.46 s^-1)t]. Write an expression for the velocity of the particle as a function of time using the sine function.

When a laboratory sample of unknown mass is placed on a vertical spring-scale having a force constant (spring constant) of 467 N/m, the system obeys the equation y = (4.4 cm) cos(33.3 s^-1 t). What is the mass of this laboratory sample?