Question 1

On the Moon,the free fall acceleration is g/6.If a pendulum has a period T on Earth,what will its period be on the Moon?

Accepted Answer

A) T $\sqrt { 6 }$ 
B) T/ $\sqrt { 6 }$ 
C) T/6 
D) 6T 
E) T/3 
A) T $\sqrt { 6 }$ 
B) T/ $\sqrt { 6 }$ 
C) T/6 
D) 6T 
E) T/3 A

Question 2

If we double the frequency of a system undergoing simple harmonic motion,which of the following statements about that system are true? (There could be more than one correct choice.)

Accepted Answer

A) The period is doubled. 
B) The amplitude is doubled. 
C) The period is reduced to one-half of what it was. 
A) The period is doubled. 
B) The amplitude is doubled. 
C) The period is reduced to one-half of what it was. C

Question 3

A simple pendulum and an object oscillating on an ideal spring both have period T in an elevator at rest.If the elevator now accelerates downward uniformly at 2 m/s2,what is true about the periods of these two systems?

Accepted Answer

A) Both periods would remain the same. 
B) Both periods would increase. 
C) Both periods would decrease. 
D) The period of the pendulum would increase but the period of the spring would stay the same. 
E) The period of the pendulum would decrease but the period of the spring would stay the same. 
A) Both periods would remain the same. 
B) Both periods would increase. 
C) Both periods would decrease. 
D) The period of the pendulum would increase but the period of the spring would stay the same. 
E) The period of the pendulum would decrease but the period of the spring would stay the same. D

Question 4

A 51.8-kg bungee jumper jumps off a bridge and undergoes simple harmonic motion.If the period of oscillation is 11.2 s,what is the spring constant of the bungee cord?

Accepted Answer

A) 16.3 N/m 
B) 19.6 N/m 
C) 26.1 N/m 
A) 16.3 N/m 
B) 19.6 N/m 
C) 26.1 N/m

Question 5

If your heart is beating at 76.0 beats per minute,what is the frequency of your heart's oscillations in hertz?

Accepted Answer

A) 4560 Hz 
B) 1450 Hz 
C) 3.98 Hz 
D) 2.54 Hz 
E) 1.27 Hz 
A) 4560 Hz 
B) 1450 Hz 
C) 3.98 Hz 
D) 2.54 Hz 
E) 1.27 Hz

Question 6

As shown in the figure,a 0.23-kg ball is suspended from a string 6.87 m long and is pulled slightly to the left.As the ball swings through the lowest part of its motion it encounters a spring attached to the wall.The spring pushes against the ball and eventually the ball is returned to its original starting position.Find the time for one complete cycle of this motion if the spring constant (force constant)is $19 \mathrm {~N} / \mathrm { m }$ (Assume that once the pendulum ball hits the spring there is no effect due to the vertical movement of the ball.)

Accepted Answer

The answer of As shown in the figure,a 0.23-kg ball...

Question 7

The period of a simple pendulum that is 1.00 m long on another planet is $1.66 \mathrm {~s} .$ What is the free fall acceleration on this planet if the mass of the pendulum bob is 1.5 kg?

Accepted Answer

A) 14.3 m/s2 
B) 13.3 m/s2 
C) 15.7 m/s2 
D) 17.2 m/s2 
A) 14.3 m/s2 
B) 13.3 m/s2 
C) 15.7 m/s2 
D) 17.2 m/s2

Question 8

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 would the period of the pendulum change if the supporting chain were to break,putting the elevator into freefall?

Accepted Answer

A) The period does not change. 
B) The period increases slightly. 
C) The period decreases slightly. 
D) The period becomes zero. 
E) The period becomes infinite because the pendulum would not swing. 
A) The period does not change. 
B) The period increases slightly. 
C) The period decreases slightly. 
D) The period becomes zero. 
E) The period becomes infinite because the pendulum would not swing.

Question 9

An object attached to an ideal spring executes simple harmonic motion.If you want to double the total energy of the object-spring system,you could

Accepted Answer

A) double the amplitude of vibration. 
B) double the spring constant of the spring. 
C) double both the amplitude and spring constant. 
D) double the mass of the object. 
E) double both the mass of the object and amplitude of vibration. 
A) double the amplitude of vibration. 
B) double the spring constant of the spring. 
C) double both the amplitude and spring constant. 
D) double the mass of the object. 
E) double both the mass of the object and amplitude of vibration.

Question 10

The figure shows a graph of the velocity v as a function of time t for a system undergoing simple harmonic motion.Which one of the following graphs represents the acceleration 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 11

In 1851 Jean Bernard Leon Foucault demonstrated the rotation of the earth using a pendulum 11.0 m long,which was set up in the Paris Observatory.How long would it have taken for Foucault's pendulum to make one complete swing back to its starting point if g = 9.81 m/s2 at the observatory?

Accepted Answer

A) 6.65 s 
B) 5.63 s 
C) 1.79 s 
D) 2.12 s 
E) 2.58 s 
A) 6.65 s 
B) 5.63 s 
C) 1.79 s 
D) 2.12 s 
E) 2.58 s

Question 12

A 1.15-kg beaker (including its contents)is placed on a vertical spring scale.When the system is sent into vertical vibrations,it obeys the equation y = (2.3 cm)cos(17.4 s-1 t).What is the spring constant of the spring scale,assuming it to be ideal?

Accepted Answer

Question 13

If both the mass of a simple pendulum and its length are doubled,the period will

Accepted Answer

A) be unchanged. 
B) increase by a factor of 2. 
C) increase by a factor of 4. 
D) increase by a factor of $\sqrt { 2 }$ 
E) increase by a factor of 1/ $\sqrt { 2 }$ 
A) be unchanged. 
B) increase by a factor of 2. 
C) increase by a factor of 4. 
D) increase by a factor of $\sqrt { 2 }$ 
E) increase by a factor of 1/ $\sqrt { 2 }$

Question 14

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.

Question 15

A 0.50-kg box is attached to an ideal spring of 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

How much mass should be attached to a vertical ideal spring having a spring constant of 39.5 N/m so that it will oscillate at 1.00 Hz?

Accepted Answer

A) 39.5 kg 
B) 2.00 kg 
C) 1.00 kg 
D) 1.56 kg 
E) 6.29 kg 
A) 39.5 kg 
B) 2.00 kg 
C) 1.00 kg 
D) 1.56 kg 
E) 6.29 kg

Question 17

An object of mass m = 8.0 kg is attached to an ideal spring and allowed to hang in the earth's gravitational field.The spring stretches $2.2 \mathrm {~cm}$ before it reaches its equilibrium position.If it were now allowed to oscillate by this spring,what would be its frequency?

Accepted Answer

A) 3.4 Hz 
B) 0.28 x 10-3 Hz 
C) 0.52 Hz 
D) 1.6 Hz 
A) 3.4 Hz 
B) 0.28 x 10-3 Hz 
C) 0.52 Hz 
D) 1.6 Hz

Question 18

A 3.7-kg block on a horizontal frictionless surface is attached to an ideal spring whose force constant (spring constant)is $450 \mathrm {~N} / \mathrm { m }$ The block is pulled from its equilibrium position at x = 0.000 m to a position x = +0.080 m and is released from rest.The block then executes simple harmonic motion along the horizontal x-axis.The maximum elastic potential energy of the system is closest to

Accepted Answer

A) 1.4 J. 
B) 1.3 J. 
C) 1.6 J. 
D) 1.7 J. 
E) 1.8 J. 
A) 1.4 J. 
B) 1.3 J. 
C) 1.6 J. 
D) 1.7 J. 
E) 1.8 J.

Question 19

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 acceleration of the object as a function of time using the cosine function.

Accepted Answer

A = - (519

Question 20

If the frequency of a system undergoing simple harmonic motion doubles,by what factor does the maximum value of acceleration change?

Accepted Answer

A) 4 
B) 2 
C)  $\sqrt { 2 }$ 
D) 2/π 
A) 4 
B) 2 
C)  $\sqrt { 2 }$ 
D) 2/π

Exam 20: Vibrational Motion

On the Moon,the free fall acceleration is g/6.If a pendulum has a period T on Earth,what will its period be on the Moon?

If we double the frequency of a system undergoing simple harmonic motion,which of the following statements about that system are true? (There could be more than one correct choice.)

A simple pendulum and an object oscillating on an ideal spring both have period T in an elevator at rest.If the elevator now accelerates downward uniformly at 2 m/s2,what is true about the periods of these two systems?

A 51.8-kg bungee jumper jumps off a bridge and undergoes simple harmonic motion.If the period of oscillation is 11.2 s,what is the spring constant of the bungee cord?

If your heart is beating at 76.0 beats per minute,what is the frequency of your heart's oscillations in hertz?

The period of a simple pendulum that is 1.00 m long on another planet is 1.66 s.1.66 \mathrm {~s} .1.66 s. What is the free fall acceleration on this planet if the mass of the pendulum bob is 1.5 kg?

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 would the period of the pendulum change if the supporting chain were to break,putting the elevator into freefall?

An object attached to an ideal spring executes simple harmonic motion.If you want to double the total energy of the object-spring system,you could

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

In 1851 Jean Bernard Leon Foucault demonstrated the rotation of the earth using a pendulum 11.0 m long,which was set up in the Paris Observatory.How long would it have taken for Foucault's pendulum to make one complete swing back to its starting point if g = 9.81 m/s2 at the observatory?

A 1.15-kg beaker (including its contents)is placed on a vertical spring scale.When the system is sent into vertical vibrations,it obeys the equation y = (2.3 cm)cos(17.4 s-1 t).What is the spring constant of the spring scale,assuming it to be ideal?

If both the mass of a simple pendulum and its length are doubled,the period will

How much mass should be attached to a vertical ideal spring having a spring constant of 39.5 N/m so that it will oscillate at 1.00 Hz?

An object of mass m = 8.0 kg is attached to an ideal spring and allowed to hang in the earth's gravitational field.The spring stretches 2.2 cm2.2 \mathrm {~cm}2.2 cm before it reaches its equilibrium position.If it were now allowed to oscillate by this spring,what would be its 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 acceleration of the object as a function of time using the cosine function.

If the frequency of a system undergoing simple harmonic motion doubles,by what factor does the maximum value of acceleration change?

Introduction

Kinematics: Motion in One Dimension

Newtonian Mechanics

Applying Newtons Laws

Circular Motion

Impulse and Linear Momentum

Work and Energy

Extended Bodies at Rest

Rotational Motion

Gases

Static Fluids

Fluids in Motion

First Law of Thermodynamics

Second Law of Thermodynamics

Electric Charge force and Energy

The Electric Field

Dc Circuits

Magnetism

Electromagnetic Induction

Mechanical Waves

Reflection and Refraction

Mirrors and Lenses

Wave Optics

Electromagnetic Waves

Special Relativity

Quantum Optics

Atomic Physics

Nuclear Physics

Particle Physics

Filters

A simple pendulum and an object oscillating on an ideal spring both have period T in an elevator at rest.If the elevator now accelerates downward uniformly at 2 m/s²,what is true about the periods of these two systems?

The period of a simple pendulum that is 1.00 m long on another planet is $1.66 \mathrm {~s} .$ What is the free fall acceleration on this planet if the mass of the pendulum bob is 1.5 kg?

In 1851 Jean Bernard Leon Foucault demonstrated the rotation of the earth using a pendulum 11.0 m long,which was set up in the Paris Observatory.How long would it have taken for Foucault's pendulum to make one complete swing back to its starting point if g = 9.81 m/s² at the observatory?

A 1.15-kg beaker (including its contents)is placed on a vertical spring scale.When the system is sent into vertical vibrations,it obeys the equation y = (2.3 cm)cos(17.4 s^-1 t).What is the spring constant of the spring scale,assuming it to be ideal?

An object of mass m = 8.0 kg is attached to an ideal spring and allowed to hang in the earth's gravitational field.The spring stretches $2.2 \mathrm {~cm}$ before it reaches its equilibrium position.If it were now allowed to oscillate by this spring,what would be its 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 acceleration of the object as a function of time using the cosine function.