A simple pendulum (a mass swinging at the end of a string) swings back and forth in a circular arc. What is the direction of the acceleration of the mass when it is at the ends of the swing? At the midpoint? In each case, explain how you obtained your answer.

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Answer 1

Textbook Question

Chapter 3, Problem 3.1DQ

A simple pendulum (a mass swinging at the end of a string) swings back and forth in a circular arc. What is the direction of the acceleration of the mass when it is at the ends of the swing? At the midpoint? In each case, explain how you obtained your answer.

Expert Solution & Answer

To determine

The direction of acceleration of mass when it is at the end of swing and at midpoint.

Answer to Problem 3.1DQ

There is zero acceleration at end point while direction of tangential acceleration changes from zero.

Explanation of Solution

When the mass reaches at end points the tangential force acts on the mass towards the mean position which results the net acceleration acts towards midpoint.

When the mass reaches at the midpoint, the gravitational force balances the tension in the string. So the resultant force on the mass is zero which results the net acceleration becomes zero.

University Physics with Modern Physics (14th Edition), Chapter 3, Problem 3.1DQ

Figure 1

Conclusion: There is zero acceleration at end point while direction of tangential acceleration changes from zero.

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01:25

Students have asked these similar questions

1. A pendulum consists of a small object called a bob hanging from a light cord of fixed length, with the top end of the cord fixed, as shown in the figure. The bob moves from its turning point A, through point B, to the lowest point in its trajectory at C, where it has its maximum speed. Assume the pendulum moves without friction, swinging equally high on both sides. a) Calculate the radial component of the bob's acceleration at Point A. b) Calculate the A c) B tangential component of the bob’s acceleration at point C? Roughly what is the direction of the bob's acceleration at point B? C

Please give me the correct answer.

A boy whirls a stone in a horizontal circle of radius 1.64 m and at height 2.25 m above level ground. The string breaks, and the stone flies off horizontally and strikes the ground after traveling a horizontal distance of 8.66 m. What is the magnitude of the centripetal acceleration of the stone while in circular motion? Use g=9.81 m/s2.

Answer 2

Textbook Question

Chapter 3, Problem 3.1DQ

A simple pendulum (a mass swinging at the end of a string) swings back and forth in a circular arc. What is the direction of the acceleration of the mass when it is at the ends of the swing? At the midpoint? In each case, explain how you obtained your answer.

Expert Solution & Answer

To determine

The direction of acceleration of mass when it is at the end of swing and at midpoint.

Answer to Problem 3.1DQ

There is zero acceleration at end point while direction of tangential acceleration changes from zero.

Explanation of Solution

When the mass reaches at end points the tangential force acts on the mass towards the mean position which results the net acceleration acts towards midpoint.

When the mass reaches at the midpoint, the gravitational force balances the tension in the string. So the resultant force on the mass is zero which results the net acceleration becomes zero.

University Physics with Modern Physics (14th Edition), Chapter 3, Problem 3.1DQ

Figure 1

Conclusion: There is zero acceleration at end point while direction of tangential acceleration changes from zero.

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01:25

Answer 3

Textbook Question

Chapter 3, Problem 3.1DQ

A simple pendulum (a mass swinging at the end of a string) swings back and forth in a circular arc. What is the direction of the acceleration of the mass when it is at the ends of the swing? At the midpoint? In each case, explain how you obtained your answer.

Expert Solution & Answer

To determine

The direction of acceleration of mass when it is at the end of swing and at midpoint.

Answer to Problem 3.1DQ

There is zero acceleration at end point while direction of tangential acceleration changes from zero.

Explanation of Solution

When the mass reaches at end points the tangential force acts on the mass towards the mean position which results the net acceleration acts towards midpoint.

When the mass reaches at the midpoint, the gravitational force balances the tension in the string. So the resultant force on the mass is zero which results the net acceleration becomes zero.

University Physics with Modern Physics (14th Edition), Chapter 3, Problem 3.1DQ

Figure 1

Conclusion: There is zero acceleration at end point while direction of tangential acceleration changes from zero.

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

01:25

Answer 4

Textbook Question

Chapter 3, Problem 3.1DQ

A simple pendulum (a mass swinging at the end of a string) swings back and forth in a circular arc. What is the direction of the acceleration of the mass when it is at the ends of the swing? At the midpoint? In each case, explain how you obtained your answer.

Expert Solution & Answer

To determine

The direction of acceleration of mass when it is at the end of swing and at midpoint.

Answer to Problem 3.1DQ

There is zero acceleration at end point while direction of tangential acceleration changes from zero.

Explanation of Solution

When the mass reaches at end points the tangential force acts on the mass towards the mean position which results the net acceleration acts towards midpoint.

When the mass reaches at the midpoint, the gravitational force balances the tension in the string. So the resultant force on the mass is zero which results the net acceleration becomes zero.

University Physics with Modern Physics (14th Edition), Chapter 3, Problem 3.1DQ

Figure 1

Conclusion: There is zero acceleration at end point while direction of tangential acceleration changes from zero.

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

01:25

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

The direction of acceleration of mass when it is at the end of swing and at midpoint.

Answer to Problem 3.1DQ

There is zero acceleration at end point while direction of tangential acceleration changes from zero.

Explanation of Solution

When the mass reaches at end points the tangential force acts on the mass towards the mean position which results the net acceleration acts towards midpoint.

When the mass reaches at the midpoint, the gravitational force balances the tension in the string. So the resultant force on the mass is zero which results the net acceleration becomes zero.

University Physics with Modern Physics (14th Edition), Chapter 3, Problem 3.1DQ

Figure 1

Conclusion: There is zero acceleration at end point while direction of tangential acceleration changes from zero.

Answer 8

Expert Solution & Answer

To determine

The direction of acceleration of mass when it is at the end of swing and at midpoint.

Answer to Problem 3.1DQ

There is zero acceleration at end point while direction of tangential acceleration changes from zero.

Explanation of Solution

When the mass reaches at end points the tangential force acts on the mass towards the mean position which results the net acceleration acts towards midpoint.

When the mass reaches at the midpoint, the gravitational force balances the tension in the string. So the resultant force on the mass is zero which results the net acceleration becomes zero.

University Physics with Modern Physics (14th Edition), Chapter 3, Problem 3.1DQ

Figure 1

Conclusion: There is zero acceleration at end point while direction of tangential acceleration changes from zero.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

The direction of acceleration of mass when it is at the end of swing and at midpoint.

Answer 12

Answer to Problem 3.1DQ

There is zero acceleration at end point while direction of tangential acceleration changes from zero.

Answer 13

Explanation of Solution

When the mass reaches at end points the tangential force acts on the mass towards the mean position which results the net acceleration acts towards midpoint.

When the mass reaches at the midpoint, the gravitational force balances the tension in the string. So the resultant force on the mass is zero which results the net acceleration becomes zero.

University Physics with Modern Physics (14th Edition), Chapter 3, Problem 3.1DQ

Figure 1

Conclusion: There is zero acceleration at end point while direction of tangential acceleration changes from zero.