The kind of force that 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 20A, Problem 1PLA

To determine

The kind of force that produce simple harmonic motion.

Expert Solution & Answer

Answer to Problem 1PLA

The force directed towards the equilibrium position produce simple harmonic motion and F=−kx.

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.

Write the equation of force for simple harmonic motion

F=−kx

Here, F is the force, k is the constant and x is the displacement from the equilibrium position.

Conclusion:

Therefore, the force directed towards the equilibrium position produce simple harmonic motion and F=−kx.

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Please write the units

A mass is on a spring undergoing oscillations a with an amplitude of A= 3.00 cm (see diagram below). It takes 0.25 s for the mass to travel from maximum extension to maximum compression. What is the angular frequency of the oscillations that the mass is undergoing? Give your answer in rad/s to 1 decimal place. Do NOT include units in your answer. www www. ww A A Your Answer: A Your Answer maximum extension a equilibrium maximum compression во W ^

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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 20A, Problem 1PLA

To determine

The kind of force that produce simple harmonic motion.

Expert Solution & Answer

Answer to Problem 1PLA

The force directed towards the equilibrium position produce simple harmonic motion and F=−kx.

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.

Write the equation of force for simple harmonic motion

F=−kx

Here, F is the force, k is the constant and x is the displacement from the equilibrium position.

Conclusion:

Therefore, the force directed towards the equilibrium position produce simple harmonic motion and F=−kx.

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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

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 20A, Problem 1PLA

To determine

The kind of force that produce simple harmonic motion.

Expert Solution & Answer

Answer to Problem 1PLA

The force directed towards the equilibrium position produce simple harmonic motion and F=−kx.

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.

Write the equation of force for simple harmonic motion

F=−kx

Here, F is the force, k is the constant and x is the displacement from the equilibrium position.

Conclusion:

Therefore, the force directed towards the equilibrium position produce simple harmonic motion and F=−kx.

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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 20A, Problem 1PLA

To determine

The kind of force that produce simple harmonic motion.

Expert Solution & Answer

Answer to Problem 1PLA

The force directed towards the equilibrium position produce simple harmonic motion and F=−kx.

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.

Write the equation of force for simple harmonic motion

F=−kx

Here, F is the force, k is the constant and x is the displacement from the equilibrium position.

Conclusion:

Therefore, the force directed towards the equilibrium position produce simple harmonic motion and F=−kx.

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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 20A, Problem 1PLA

To determine

The kind of force that produce simple harmonic motion.

Expert Solution & Answer

Answer to Problem 1PLA

The force directed towards the equilibrium position produce simple harmonic motion and F=−kx.

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.

Write the equation of force for simple harmonic motion

F=−kx

Here, F is the force, k is the constant and x is the displacement from the equilibrium position.

Conclusion:

Therefore, the force directed towards the equilibrium position produce simple harmonic motion and F=−kx.

Answer 6

Chapter 20A, Problem 1PLA

To determine

The kind of force that produce simple harmonic motion.

Expert Solution & Answer

Answer to Problem 1PLA

The force directed towards the equilibrium position produce simple harmonic motion and F=−kx.

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.

Write the equation of force for simple harmonic motion

F=−kx

Here, F is the force, k is the constant and x is the displacement from the equilibrium position.

Conclusion:

Therefore, the force directed towards the equilibrium position produce simple harmonic motion and F=−kx.

Answer 7

Chapter 20A, Problem 1PLA

To determine

The kind of force that produce simple harmonic motion.

Answer 8

Expert Solution & Answer

Answer to Problem 1PLA

The force directed towards the equilibrium position produce simple harmonic motion and F=−kx.

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.

Write the equation of force for simple harmonic motion

F=−kx

Here, F is the force, k is the constant and x is the displacement from the equilibrium position.

Conclusion:

Therefore, the force directed towards the equilibrium position produce simple harmonic motion and F=−kx.