© 2012 Pearson Education, Inc. An object on the end of a spring is oscillating in simple harmonic motion. If the amplitude of oscillation is doubled, how.

© 2012 Pearson Education, Inc.

An object on the end of a spring is oscillating in simple harmonic motion. If the amplitude of oscillation is doubled, how does this affect the oscillation period T and the object’s maximum speed vmax?

A. T and vmax both double.

B. T remains the same and vmax doubles.

C. T and vmax both remain the same.

D. T doubles and vmax remains the same.

E. T remains the same and vmax increases by a factor of

Q12.1

© 2012 Pearson Education, Inc.

This is an x vs t graph for an object in simple harmonic motion.

A. t = T/4

B. t = T/2

C. t = 3T/4

D. t = T

Q12.2

At which of the following times does the object have the most negative velocity vx?

© 2012 Pearson Education, Inc.

This is an x vs t graph for an object in simple harmonic motion.

A. t = T/4

B. t = T/2

C. t = 3T/4

D. t = T

Q12.3

At which of the following times does the object have the most negative acceleration ax?

© 2012 Pearson Education, Inc.

This is an ax vs t graph for an object in simple harmonic motion.

A. t = 0.10 s

B. t = 0.15 s

C. t = 0.20 s

D. t = 0.25 s

Q12.4

At which of the following times does the object have the most negative displacement x?

© 2012 Pearson Education, Inc.

This is an ax vs t graph for an object in simple harmonic motion.

A. t = 0.10 s

B. t = 0.15 s

C. t = 0.20 s

D. t = 0.25 s

Q12.5

At which of the following times does the object have the most negative velocity vx?

© 2012 Pearson Education, Inc.

A. t = T/8

B. t = T/4

C. t = 3T/8

D. t = T/2

E. more than one of the above

This is an x vs t graph for an object connected to a spring and moving in simple harmonic motion.

Q12.6

At which of the following times is the potential energy of the spring the greatest?

© 2012 Pearson Education, Inc.

A. t = T/8

B. t = T/4

C. t = 3T/8

D. t = T/2

E. more than one of the above

This is an x vs t graph for an object connected to a spring and moving in simple harmonic motion.

Q12.7

At which of the following times is the kinetic energy of the object the greatest?

© 2012 Pearson Education, Inc.

To double the total energy of a mass-spring system oscillating in simple harmonic motion, the amplitude must increase by a factor of

A. 4.

B.

C. 2.

D.

E.

Q12.8

© 2012 Pearson Education, Inc.

A simple pendulum consists of a point mass suspended by a massless, unstretchable string.

If the mass is doubled while the length of the string remains the same, the period of the pendulum

A. becomes 4 times greater.

B. becomes twice as great.

C. becomes greater by a factor of .

D. remains unchanged.

E. decreases.

Q12.9

© 2012 Pearson Education, Inc.

An object moves in SHM according to the following equation: x = 6.0sin(10π t + π/2)

What is the magnitude of its maximum acceleration?

A. 60π m/s2

B. 600π2 m/s2

C. 60π2 m/s2

D. 600π m/s2

E. Unable to determine

Q12.10

© 2012 Pearson Education, Inc.

An object on the end of a spring is oscillating in simple harmonic motion. If the amplitude of oscillation is doubled, how does this affect the oscillation period T and the object’s maximum speed vmax?

A. T and vmax both double.

B. T remains the same and vmax doubles.

C. T and vmax both remain the same.

D. T doubles and vmax remains the same.

E. T remains the same and vmax increases by a factor of .

A12.1

© 2012 Pearson Education, Inc.

This is an x-t graph for an object in simple harmonic motion.

A. t = T/4

B. t = T/2

C. t = 3T/4

D. t = T

A12.2

At which of the following times does the object have the most negative velocity vx?

© 2012 Pearson Education, Inc.

This is an x-t graph for an object in simple harmonic motion.

A. t = T/4

B. t = T/2

C. t = 3T/4

D. t = T

A12.3

At which of the following times does the object have the most negative acceleration ax?

© 2012 Pearson Education, Inc.

This is an ax-t graph for an object in simple harmonic motion.

A. t = 0.10 s

B. t = 0.15 s

C. t = 0.20 s

D. t = 0.25 s

A12.4

At which of the following times does the object have the most negative displacement x?

© 2012 Pearson Education, Inc.

This is an ax-t graph for an object in simple harmonic motion.

A. t = 0.10 s

B. t = 0.15 s

C. t = 0.20 s

D. t = 0.25 s

A12.5

At which of the following times does the object have the most negative velocity vx?

© 2012 Pearson Education, Inc.

This is an x-t graph for an object connected to a spring and moving in simple harmonic motion.

A12.6

At which of the following times is the potential energy of the spring the greatest?

A. t = T/8

B. t = T/4

C. t = 3T/8

D. t = T/2

E. more than one of the above

© 2012 Pearson Education, Inc.

A. t = T/8

B. t = T/4

C. t = 3T/8

D. t = T/2

E. more than one of the above

This is an x-t graph for an object connected to a spring and moving in simple harmonic motion.

A12.7

At which of the following times is the kinetic energy of the object the greatest?

© 2012 Pearson Education, Inc.

A. 4.

B.

C. 2.

D.

E.

To double the total energy of a mass-spring system oscillating in simple harmonic motion, the amplitude must increase by a factor of

A12.8

© 2012 Pearson Education, Inc.

A simple pendulum consists of a point mass suspended by a massless, unstretchable string.

If the mass is doubled while the length of the string remains the same, the period of the pendulum

A. becomes 4 times greater.

B. becomes twice as great.

C. becomes greater by a factor of .

D. remains unchanged.

E. decreases.

A12.9

© 2012 Pearson Education, Inc.

An object moves in SHM according to the following equation: x = 6.0sin(10π t + π/2)

What is the magnitude of its maximum acceleration?

A. 60π m/s2

B. 600π2 m/s2

C. 60π2 m/s2

D. 600π m/s2

E. Unable to determine

A12.10