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Transcript of © 2012 Pearson Education, Inc. An object on the end of a spring is oscillating in simple harmonic...
![Page 1: © 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.](https://reader034.fdocuments.in/reader034/viewer/2022042703/56649e755503460f94b76142/html5/thumbnails/1.jpg)
© 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
![Page 2: © 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.](https://reader034.fdocuments.in/reader034/viewer/2022042703/56649e755503460f94b76142/html5/thumbnails/2.jpg)
© 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?
![Page 3: © 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.](https://reader034.fdocuments.in/reader034/viewer/2022042703/56649e755503460f94b76142/html5/thumbnails/3.jpg)
© 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?
![Page 4: © 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.](https://reader034.fdocuments.in/reader034/viewer/2022042703/56649e755503460f94b76142/html5/thumbnails/4.jpg)
© 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?
![Page 5: © 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.](https://reader034.fdocuments.in/reader034/viewer/2022042703/56649e755503460f94b76142/html5/thumbnails/5.jpg)
© 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?
![Page 6: © 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.](https://reader034.fdocuments.in/reader034/viewer/2022042703/56649e755503460f94b76142/html5/thumbnails/6.jpg)
© 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?
![Page 7: © 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.](https://reader034.fdocuments.in/reader034/viewer/2022042703/56649e755503460f94b76142/html5/thumbnails/7.jpg)
© 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?
![Page 8: © 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.](https://reader034.fdocuments.in/reader034/viewer/2022042703/56649e755503460f94b76142/html5/thumbnails/8.jpg)
© 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
![Page 9: © 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.](https://reader034.fdocuments.in/reader034/viewer/2022042703/56649e755503460f94b76142/html5/thumbnails/9.jpg)
© 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
![Page 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.](https://reader034.fdocuments.in/reader034/viewer/2022042703/56649e755503460f94b76142/html5/thumbnails/10.jpg)
© 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
![Page 11: © 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.](https://reader034.fdocuments.in/reader034/viewer/2022042703/56649e755503460f94b76142/html5/thumbnails/11.jpg)
© 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
![Page 12: © 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.](https://reader034.fdocuments.in/reader034/viewer/2022042703/56649e755503460f94b76142/html5/thumbnails/12.jpg)
© 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?
![Page 13: © 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.](https://reader034.fdocuments.in/reader034/viewer/2022042703/56649e755503460f94b76142/html5/thumbnails/13.jpg)
© 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?
![Page 14: © 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.](https://reader034.fdocuments.in/reader034/viewer/2022042703/56649e755503460f94b76142/html5/thumbnails/14.jpg)
© 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?
![Page 15: © 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.](https://reader034.fdocuments.in/reader034/viewer/2022042703/56649e755503460f94b76142/html5/thumbnails/15.jpg)
© 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?
![Page 16: © 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.](https://reader034.fdocuments.in/reader034/viewer/2022042703/56649e755503460f94b76142/html5/thumbnails/16.jpg)
© 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
![Page 17: © 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.](https://reader034.fdocuments.in/reader034/viewer/2022042703/56649e755503460f94b76142/html5/thumbnails/17.jpg)
© 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?
![Page 18: © 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.](https://reader034.fdocuments.in/reader034/viewer/2022042703/56649e755503460f94b76142/html5/thumbnails/18.jpg)
© 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
![Page 19: © 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.](https://reader034.fdocuments.in/reader034/viewer/2022042703/56649e755503460f94b76142/html5/thumbnails/19.jpg)
© 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
![Page 20: © 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.](https://reader034.fdocuments.in/reader034/viewer/2022042703/56649e755503460f94b76142/html5/thumbnails/20.jpg)
© 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