© 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 v max ? A. T and v max both double. B. T remains the same and v max doubles. C. T and v max both remain the same. D. T doubles and v max remains the same. E. T remains the same and v max 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 v x ?

© 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 a x ?

© 2012 Pearson Education, Inc. This is an a x 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 a x 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 v x ?

© 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/s 2 B. 600π 2 m/s 2 C. 60π 2 m/s 2 D. 600π m/s 2 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 v max ? A. T and v max both double. B. T remains the same and v max doubles. C. T and v max both remain the same. D. T doubles and v max remains the same. E. T remains the same and v max 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 v x ?

© 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 a x ?

© 2012 Pearson Education, Inc. This is an a x -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 a x -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 v x ?

© 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/s 2 B. 600π 2 m/s 2 C. 60π 2 m/s 2 D. 600π m/s 2 E. Unable to determine A12.10