Question 1

A 0.16-kg block on a horizontal frictionless surface is attached to an ideal spring whose force constant (spring constant)is 360 N/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.When the position is x = -0.037 m,what is the acceleration of the block?

Accepted Answer

A) 83 m/s2 
B) 43 m/s2 
C) 64 m/s2 
D) 270 m/s2 
E) 370 m/s2

Question 2

An astronaut has landed on an asteroid and conducts an experiment to determine the acceleration of gravity on that asteroid.He uses a simple pendulum that has a period of oscillation of 2.00 s on Earth and finds that on the asteroid the period is 11.3 s.What is the acceleration of gravity on that asteroid?

Accepted Answer

A) 0.307 m/s2 
B) 1.66 m/s2 
C) 1.74 m/s2 
D) 5.51 m/s2 
E) 0.0544 m/s2

Question 3

A simple pendulum takes 2.00 s to make one compete swing.If we now triple the length,how long will it take for one complete swing?

Accepted Answer

A) 6.00 s 
B) 3.46 s 
C) 2.00 s 
D) 1.15 s 
E) 0.667 s

Question 4

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

Accepted Answer

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

Question 5

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.

Question 6

A 0.150-kg air track cart is attached to an ideal spring with a force constant (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

Question 7

An object undergoing simple harmonic motion has a maximum displacement of 
At 
If the angular frequency of oscillation is 
What is the object's displacement when

Accepted Answer

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

Question 8

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.

Question 9

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.

Question 10

Two simple pendulums,A and B,are each 3.0 m long,and the period of pendulum A is T.Pendulum A is twice as heavy as pendulum B.What is the period of pendulum B?

Accepted Answer

A) T/  
B) T 
C) T  
D) 2T 
E) T/2

Question 11

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

Question 12

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?

Accepted Answer

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

Question 13

A ball vibrates back and forth from the free end of an ideal spring having a force constant (spring constant)of 20 N/m.If the amplitude of this motion is 0.30 m,what is the kinetic energy of the ball when it is 0.30 m from its equilibrium position?

Accepted Answer

A) 0.00 J 
B) 0.22 J 
C) 0.45 J 
D) 0.90 J 
E) 1.4 J

Question 14

A package is oscillating on a spring scale with a period of 4.60 s.At time t = 0.00 s the package has zero speed and is at x = 8.30 cm.At what time after t = 0.00 s will the package first be at x = 4.15 cm?

Accepted Answer

A) 0.575 s 
B) 0.767 s 
C) 1.15 s 
D) 1.30 s 
E) 1.53 s

Question 15

An air-track cart is attached to a spring and completes one oscillation every 5.67 s in simple harmonic motion.At time t = 0.00 s the cart is released at the position x = +0.250 m.What is the position of the cart when t = 29.6 s?

Accepted Answer

A) x = 0.0461 m 
B) x = 0.210 m 
C) x = 0.218 m 
D) x = 0.342 m 
E) x = -0.218 m

Question 16

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

Accepted Answer

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

Question 17

A simple pendulum and a mass oscillating on an ideal spring both have period T in an elevator at rest.If the elevator now moves downward at a uniform 2 m/s,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.

Question 18

The position of an air-track cart that is oscillating on a spring is given by the equation x = (12.4 cm)cos[(6.35 s-1)t].At what value of t after t = 0.00 s is the cart first located at x = 8.47 cm?

Accepted Answer

A) 4.34 s 
B) 0.108 s 
C) 0.129 s 
D) 7.39 s 
E) 7.75 s

Question 19

A 0.250-kg stone is attached to an ideal spring and undergoes simple harmonic oscillations with a period of 0.640 s.What is the force constant (spring constant)of the spring?

Accepted Answer

A) 2.45 N/m 
B) 12.1 N/m 
C) 24.1 N/m 
D) 0.102 N/m 
E) 0.610 N/m

Question 20

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.

Exam 13: Oscillations About Equilibrium

A simple pendulum takes 2.00 s to make one compete swing.If we now triple the length,how long will it take for one complete swing?

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

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?

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

An object undergoing simple harmonic motion has a maximum displacement of At If the angular frequency of oscillation is What is the object's displacement when

The total mechanical energy of a simple harmonic oscillating system is

Two simple pendulums,A and B,are each 3.0 m long,and the period of pendulum A is T.Pendulum A is twice as heavy as pendulum B.What is the period of pendulum B?

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?

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 ball vibrates back and forth from the free end of an ideal spring having a force constant (spring constant) of 20 N/m.If the amplitude of this motion is 0.30 m,what is the kinetic energy of the ball when it is 0.30 m from its equilibrium position?

A package is oscillating on a spring scale with a period of 4.60 s.At time t = 0.00 s the package has zero speed and is at x = 8.30 cm.At what time after t = 0.00 s will the package first be at x = 4.15 cm?

An air-track cart is attached to a spring and completes one oscillation every 5.67 s in simple harmonic motion.At time t = 0.00 s the cart is released at the position x = +0.250 m.What is the position of the cart when t = 29.6 s?

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

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

The position of an air-track cart that is oscillating on a spring is given by the equation x = (12.4 cm) cos[(6.35 s^-1) t].At what value of t after t = 0.00 s is the cart first located at x = 8.47 cm?

A 0.250-kg stone is attached to an ideal spring and undergoes simple harmonic oscillations with a period of 0.640 s.What is the force constant (spring constant) of the spring?

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?

Exam 13: Oscillations About Equilibrium

A simple pendulum takes 2.00 s to make one compete swing.If we now triple the length,how long will it take for one complete swing?

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

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?

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

An object undergoing simple harmonic motion has a maximum displacement of At If the angular frequency of oscillation is What is the object's displacement when

The total mechanical energy of a simple harmonic oscillating system is

Two simple pendulums,A and B,are each 3.0 m long,and the period of pendulum A is T.Pendulum A is twice as heavy as pendulum B.What is the period of pendulum B?

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?

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 ball vibrates back and forth from the free end of an ideal spring having a force constant (spring constant) of 20 N/m.If the amplitude of this motion is 0.30 m,what is the kinetic energy of the ball when it is 0.30 m from its equilibrium position?

A package is oscillating on a spring scale with a period of 4.60 s.At time t = 0.00 s the package has zero speed and is at x = 8.30 cm.At what time after t = 0.00 s will the package first be at x = 4.15 cm?

An air-track cart is attached to a spring and completes one oscillation every 5.67 s in simple harmonic motion.At time t = 0.00 s the cart is released at the position x = +0.250 m.What is the position of the cart when t = 29.6 s?

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

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

The position of an air-track cart that is oscillating on a spring is given by the equation x = (12.4 cm) cos[(6.35 s-1) t].At what value of t after t = 0.00 s is the cart first located at x = 8.47 cm?

A 0.250-kg stone is attached to an ideal spring and undergoes simple harmonic oscillations with a period of 0.640 s.What is the force constant (spring constant) of the spring?

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 position of an air-track cart that is oscillating on a spring is given by the equation x = (12.4 cm) cos[(6.35 s^-1) t].At what value of t after t = 0.00 s is the cart first located at x = 8.47 cm?