The requirement for a force to produce simple harmonic motion .

Question

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Answer 1

Question

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

Chapter 19, Problem 1PLA

To determine

The requirement for a force to produce simple harmonic motion.

Expert Solution & Answer

Answer to Problem 1PLA

The force must be directed towards the equilibrium position to produce simple harmonic motion.

Explanation of Solution

Simple harmonic motion is a type of oscillating motion in which the displacement of mass moving in one dimension is described by a single sine or cosine function.

Force of the mass with simple harmonic motion is directly proportional to the magnitude of the displacement from its equilibrium position and its direction must be towards the equilibrium position of the mass.

Conclusion:

Therefore, the force must be directed towards the equilibrium position to produce simple harmonic motion.

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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

Question

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

Chapter 19, Problem 1PLA

To determine

The requirement for a force to produce simple harmonic motion.

Expert Solution & Answer

Answer to Problem 1PLA

The force must be directed towards the equilibrium position to produce simple harmonic motion.

Explanation of Solution

Simple harmonic motion is a type of oscillating motion in which the displacement of mass moving in one dimension is described by a single sine or cosine function.

Force of the mass with simple harmonic motion is directly proportional to the magnitude of the displacement from its equilibrium position and its direction must be towards the equilibrium position of the mass.

Conclusion:

Therefore, the force must be directed towards the equilibrium position to produce simple harmonic motion.

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Answer 3

Question

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

Chapter 19, Problem 1PLA

To determine

The requirement for a force to produce simple harmonic motion.

Expert Solution & Answer

Answer to Problem 1PLA

The force must be directed towards the equilibrium position to produce simple harmonic motion.

Explanation of Solution

Simple harmonic motion is a type of oscillating motion in which the displacement of mass moving in one dimension is described by a single sine or cosine function.

Force of the mass with simple harmonic motion is directly proportional to the magnitude of the displacement from its equilibrium position and its direction must be towards the equilibrium position of the mass.

Conclusion:

Therefore, the force must be directed towards the equilibrium position to produce simple harmonic motion.

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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

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

Chapter 19, Problem 1PLA

To determine

The requirement for a force to produce simple harmonic motion.

Expert Solution & Answer

Answer to Problem 1PLA

The force must be directed towards the equilibrium position to produce simple harmonic motion.

Explanation of Solution

Simple harmonic motion is a type of oscillating motion in which the displacement of mass moving in one dimension is described by a single sine or cosine function.

Force of the mass with simple harmonic motion is directly proportional to the magnitude of the displacement from its equilibrium position and its direction must be towards the equilibrium position of the mass.

Conclusion:

Therefore, the force must be directed towards the equilibrium position to produce simple harmonic motion.

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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 19, Problem 1PLA

To determine

The requirement for a force to produce simple harmonic motion.

Expert Solution & Answer

Answer to Problem 1PLA

The force must be directed towards the equilibrium position to produce simple harmonic motion.

Explanation of Solution

Simple harmonic motion is a type of oscillating motion in which the displacement of mass moving in one dimension is described by a single sine or cosine function.

Force of the mass with simple harmonic motion is directly proportional to the magnitude of the displacement from its equilibrium position and its direction must be towards the equilibrium position of the mass.

Conclusion:

Therefore, the force must be directed towards the equilibrium position to produce simple harmonic motion.

Answer 6

Chapter 19, Problem 1PLA

To determine

The requirement for a force to produce simple harmonic motion.

Expert Solution & Answer

Answer to Problem 1PLA

The force must be directed towards the equilibrium position to produce simple harmonic motion.

Explanation of Solution

Simple harmonic motion is a type of oscillating motion in which the displacement of mass moving in one dimension is described by a single sine or cosine function.

Force of the mass with simple harmonic motion is directly proportional to the magnitude of the displacement from its equilibrium position and its direction must be towards the equilibrium position of the mass.

Conclusion:

Therefore, the force must be directed towards the equilibrium position to produce simple harmonic motion.

Answer 7

Chapter 19, Problem 1PLA

To determine

The requirement for a force to produce simple harmonic motion.

Answer 8

Expert Solution & Answer

Answer to Problem 1PLA

The force must be directed towards the equilibrium position to produce simple harmonic motion.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Simple harmonic motion is a type of oscillating motion in which the displacement of mass moving in one dimension is described by a single sine or cosine function.

Force of the mass with simple harmonic motion is directly proportional to the magnitude of the displacement from its equilibrium position and its direction must be towards the equilibrium position of the mass.

Conclusion:

Therefore, the force must be directed towards the equilibrium position to produce simple harmonic motion.