Question 1

The total mechanical energy of a simple harmonic oscillating system 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) a non-zero 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) a non-zero constant.

Question 2

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 down 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 3

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 4

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

Accepted Answer

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

Question 5

Grandfather clocks are designed so they can be adjusted by moving the bob 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 bob would make it more accurate? (There could be more than one correct choice.)

Accepted Answer

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

Question 6

A 0.50-kg object is attached to an ideal 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.What are (a)the total energy and (b)the amplitude of vibration of the system?

Accepted Answer

(a)0.56 J

Question 7

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 m

Question 8

In a supermarket,you place a 22.3-N (around 5 lb)bag of oranges on a scale,and the scale starts to oscillate at 2.7 Hz.What is the spring constant of the spring of the scale?

Accepted Answer

A) 650 N/m 
B) 600 N/m 
C) 330 N/m 
D) 820 N/m 
E) 410 N/m 
A) 650 N/m 
B) 600 N/m 
C) 330 N/m 
D) 820 N/m 
E) 410 N/m

Question 9

A spaceship captain lands on an unknown planet.Before venturing forth,he needs to find out the free fall acceleration on that planet.All he has available to him is some thin light string,a stopwatch,and a small 2.75-kg metal ball (it was a rough landing).So he lets the ball swing from a 1.5-m length of the string,starting at rest,and measures that it takes 1.9 s for it to swing from the place where he released it to the place where it first stops as it reverses direction.What is the free fall acceleration on this planet?

Accepted Answer

The answer of A spaceship captain lands on an unknown...

Question 10

A 0.150-kg air track cart is attached to an ideal spring with a spring constant of 3.58 N/m and undergoes simple harmonic oscillations.What is the period of the oscillations?

Accepted Answer

A) 2.57 s 
B) 0.527 s 
C) 0.263 s 
D) 1.14 s 
E) 1.29 s 
A) 2.57 s 
B) 0.527 s 
C) 0.263 s 
D) 1.14 s 
E) 1.29 s

Question 11

A ball is oscillating on an ideal spring with an amplitude of 8.3 cm and a period of 4.6 s.Write an expression for its position,x,as a function of time t,if x is equal to 8.3 cm at t = 0.0 s.Use the cosine function.

Accepted Answer

x = (8.3 cm)cos[2πt/

Question 12

A guitar string is set into vibration with a frequency of 512 Hz.How many oscillations does it undergo each minute?

Accepted Answer

A) 30,700 
B) 8.53 
C) 26.8 
D) 1610 
E) 512 
A) 30,700 
B) 8.53 
C) 26.8 
D) 1610 
E) 512

Question 13

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 14

If a floating log is seen to bob up and down 15 times in 1.0 min as waves pass by you,what are the frequency and period of the oscillation?

Accepted Answer

The answer of If a floating log is seen to...

Exam 20: Vibrational Motion

The total mechanical energy of a simple harmonic oscillating system is

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

Grandfather clocks are designed so they can be adjusted by moving the bob 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 bob would make it more accurate? (There could be more than one correct choice.)

A 0.50-kg object is attached to an ideal 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.What are (a)the total energy and (b)the amplitude of vibration of the system?

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?

In a supermarket,you place a 22.3-N (around 5 lb)bag of oranges on a scale,and the scale starts to oscillate at 2.7 Hz.What is the spring constant of the spring of the scale?

A 0.150-kg air track cart is attached to an ideal spring with a spring constant of 3.58 N/m and undergoes simple harmonic oscillations.What is the period of the oscillations?

A ball is oscillating on an ideal spring with an amplitude of 8.3 cm and a period of 4.6 s.Write an expression for its position,x,as a function of time t,if x is equal to 8.3 cm at t = 0.0 s.Use the cosine function.

A guitar string is set into vibration with a frequency of 512 Hz.How many oscillations does it undergo each minute?

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

If a floating log is seen to bob up and down 15 times in 1.0 min as waves pass by you,what are the frequency and period of the oscillation?

Introduction

Kinematics: Motion in One Dimension

Newtonian Mechanics

Applying Newtons Laws

Circular Motion

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Extended Bodies at Rest

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First Law of Thermodynamics

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The Electric Field

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Electromagnetic Induction

Mechanical Waves

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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?