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.

Mastering Physics with Pearson eText -- Standalone Access Card -- for 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

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The force of the quadriceps (Fq) and force of the patellar tendon (Fp) is identical (i.e., 1000 N each). In the figure below angle in blue is Θ and the in green is half Θ (i.e., Θ/2). A) Calculate the patellar reaction force (i.e., R resultant vector is the sum of the horizontal component of the quadriceps and patellar tendon force) at the following joint angles: you need to provide a diagram showing the vector and its components for each part. a1) Θ = 160 degrees, a2) Θ = 90 degrees. NOTE: USE ONLY TRIGNOMETRIC FUNCTIONS (SIN/TAN/COS, NO LAW OF COSINES, NO COMPLICATED ALGEBRAIC EQUATIONS OR ANYTHING ELSE, ETC. Question A has 2 parts!

The force of the quadriceps (Fq) and force of the patellar tendon (Fp) is identical (i.e., 1000 N each). In the figure below angle in blue is Θ and the in green is half Θ (i.e., Θ/2). A) Calculate the patellar reaction force (i.e., R resultant vector is the sum of the horizontal component of the quadriceps and patellar tendon force) at the following joint angles: you need to provide a diagram showing the vector and its components for each part. a1) Θ = 160 degrees, a2) Θ = 90 degrees. NOTE: USE DO NOT USE LAW OF COSINES, NO COMPLICATED ALGEBRAIC EQUATIONS OR ANYTHING ELSE, ETC. Question A has 2 parts!

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.

Mastering Physics with Pearson eText -- Standalone Access Card -- for 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.

Mastering Physics with Pearson eText -- Standalone Access Card -- for 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.

Mastering Physics with Pearson eText -- Standalone Access Card -- for 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 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.

Mastering Physics with Pearson eText -- Standalone Access Card -- for 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.

Mastering Physics with Pearson eText -- Standalone Access Card -- for 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.

Mastering Physics with Pearson eText -- Standalone Access Card -- for 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.