How would the time for to and fro motion over a playground swing vary if instead of sitting we stand on the swing?

Question

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Answer 1

Question

Chapter P4, Problem 1MCPE

To determine

How would the time for to and fro motion over a playground swing vary if instead of sitting we stand on the swing?

Expert Solution & Answer

Answer to Problem 1MCPE

Solution: Option (b) Shortened

Explanation of Solution

Swinging can be compared with the motion of a simple pendulum.
The time is taken for a pendulum swinging to and fro is called its period denoted by T.
The period of a simple pendulum is given by:
T=2πlg
l→ Length of the pendulum
g→ Acceleration due to gravity
So, the period depends only on the length of the pendulum. When standing on the playground swing, our center of mass shifts closer to the pivot and hence, effective length decreases which decreases the period for the swing.

Conclusion:

The period for to and fro motion on a playground swing is shortened if we stand on it instead of sitting.

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Answer 2

Question

Chapter P4, Problem 1MCPE

To determine

How would the time for to and fro motion over a playground swing vary if instead of sitting we stand on the swing?

Expert Solution & Answer

Answer to Problem 1MCPE

Solution: Option (b) Shortened

Explanation of Solution

Swinging can be compared with the motion of a simple pendulum.
The time is taken for a pendulum swinging to and fro is called its period denoted by T.
The period of a simple pendulum is given by:
T=2πlg
l→ Length of the pendulum
g→ Acceleration due to gravity
So, the period depends only on the length of the pendulum. When standing on the playground swing, our center of mass shifts closer to the pivot and hence, effective length decreases which decreases the period for the swing.

Conclusion:

The period for to and fro motion on a playground swing is shortened if we stand on it instead of sitting.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter P4, Problem 1MCPE

To determine

How would the time for to and fro motion over a playground swing vary if instead of sitting we stand on the swing?

Expert Solution & Answer

Answer to Problem 1MCPE

Solution: Option (b) Shortened

Explanation of Solution

Swinging can be compared with the motion of a simple pendulum.
The time is taken for a pendulum swinging to and fro is called its period denoted by T.
The period of a simple pendulum is given by:
T=2πlg
l→ Length of the pendulum
g→ Acceleration due to gravity
So, the period depends only on the length of the pendulum. When standing on the playground swing, our center of mass shifts closer to the pivot and hence, effective length decreases which decreases the period for the swing.

Conclusion:

The period for to and fro motion on a playground swing is shortened if we stand on it instead of sitting.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter P4, Problem 1MCPE

To determine

How would the time for to and fro motion over a playground swing vary if instead of sitting we stand on the swing?

Expert Solution & Answer

Answer to Problem 1MCPE

Solution: Option (b) Shortened

Explanation of Solution

Swinging can be compared with the motion of a simple pendulum.
The time is taken for a pendulum swinging to and fro is called its period denoted by T.
The period of a simple pendulum is given by:
T=2πlg
l→ Length of the pendulum
g→ Acceleration due to gravity
So, the period depends only on the length of the pendulum. When standing on the playground swing, our center of mass shifts closer to the pivot and hence, effective length decreases which decreases the period for the swing.

Conclusion:

The period for to and fro motion on a playground swing is shortened if we stand on it instead of sitting.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter P4, Problem 1MCPE

To determine

How would the time for to and fro motion over a playground swing vary if instead of sitting we stand on the swing?

Expert Solution & Answer

Answer to Problem 1MCPE

Solution: Option (b) Shortened

Explanation of Solution

Swinging can be compared with the motion of a simple pendulum.
The time is taken for a pendulum swinging to and fro is called its period denoted by T.
The period of a simple pendulum is given by:
T=2πlg
l→ Length of the pendulum
g→ Acceleration due to gravity
So, the period depends only on the length of the pendulum. When standing on the playground swing, our center of mass shifts closer to the pivot and hence, effective length decreases which decreases the period for the swing.

Conclusion:

The period for to and fro motion on a playground swing is shortened if we stand on it instead of sitting.

Answer 6

Chapter P4, Problem 1MCPE

To determine

How would the time for to and fro motion over a playground swing vary if instead of sitting we stand on the swing?

Expert Solution & Answer

Answer to Problem 1MCPE

Solution: Option (b) Shortened

Explanation of Solution

Swinging can be compared with the motion of a simple pendulum.
The time is taken for a pendulum swinging to and fro is called its period denoted by T.
The period of a simple pendulum is given by:
T=2πlg
l→ Length of the pendulum
g→ Acceleration due to gravity
So, the period depends only on the length of the pendulum. When standing on the playground swing, our center of mass shifts closer to the pivot and hence, effective length decreases which decreases the period for the swing.

Conclusion:

The period for to and fro motion on a playground swing is shortened if we stand on it instead of sitting.

Answer 7

Chapter P4, Problem 1MCPE

To determine

How would the time for to and fro motion over a playground swing vary if instead of sitting we stand on the swing?

Answer 8

Expert Solution & Answer

Answer to Problem 1MCPE

Solution: Option (b) Shortened

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Swinging can be compared with the motion of a simple pendulum.
The time is taken for a pendulum swinging to and fro is called its period denoted by T.
The period of a simple pendulum is given by:
T=2πlg
l→ Length of the pendulum
g→ Acceleration due to gravity
So, the period depends only on the length of the pendulum. When standing on the playground swing, our center of mass shifts closer to the pivot and hence, effective length decreases which decreases the period for the swing.