The relationship between Hooke’s law and Simple Harmonic Motion .

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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 16, Problem 1ASA

To determine

The relationship between Hooke’s law and Simple Harmonic Motion.

Expert Solution & Answer

Answer to Problem 1ASA

The relationship between Hooke’s law and Simple Harmonic Motion is that any particle that obeying Hooke’s law would execute simple harmonic motion

Explanation of Solution

Hooke’s law:

One of the properties of elasticity that takes twice as much force to stretch out a spring twice as far. This linear dependence of the displacement on force of stretching is known as Hooke’s law.

Hooke’s law states that the force required to the stretch of the spring is directly proportional to stretch.

Write the expression for the Hooke’s law.

F=−kx

Here, F is the force required to the stretch of the spring, k is the spring constant, x is the stretch distance.

Simple Harmonic Motion:

The motion of a mass on a spring when it is elastic force of restoring given by the Hooke’s law.

The motion of the particle that subjected to restoring force that vibrate to and fro movement from the point of equilibrium is known as Simple Harmonic Motion.

Conclusion:

The relationship between Hooke’s law and Simple Harmonic Motion is that any particle that obeying Hooke’s law would execute simple harmonic motion

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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 16, Problem 1ASA

To determine

The relationship between Hooke’s law and Simple Harmonic Motion.

Expert Solution & Answer

Answer to Problem 1ASA

The relationship between Hooke’s law and Simple Harmonic Motion is that any particle that obeying Hooke’s law would execute simple harmonic motion

Explanation of Solution

Hooke’s law:

One of the properties of elasticity that takes twice as much force to stretch out a spring twice as far. This linear dependence of the displacement on force of stretching is known as Hooke’s law.

Hooke’s law states that the force required to the stretch of the spring is directly proportional to stretch.

Write the expression for the Hooke’s law.

F=−kx

Here, F is the force required to the stretch of the spring, k is the spring constant, x is the stretch distance.

Simple Harmonic Motion:

The motion of a mass on a spring when it is elastic force of restoring given by the Hooke’s law.

The motion of the particle that subjected to restoring force that vibrate to and fro movement from the point of equilibrium is known as Simple Harmonic Motion.

Conclusion:

The relationship between Hooke’s law and Simple Harmonic Motion is that any particle that obeying Hooke’s law would execute 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 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 16, Problem 1ASA

To determine

The relationship between Hooke’s law and Simple Harmonic Motion.

Expert Solution & Answer

Answer to Problem 1ASA

The relationship between Hooke’s law and Simple Harmonic Motion is that any particle that obeying Hooke’s law would execute simple harmonic motion

Explanation of Solution

Hooke’s law:

One of the properties of elasticity that takes twice as much force to stretch out a spring twice as far. This linear dependence of the displacement on force of stretching is known as Hooke’s law.

Hooke’s law states that the force required to the stretch of the spring is directly proportional to stretch.

Write the expression for the Hooke’s law.

F=−kx

Here, F is the force required to the stretch of the spring, k is the spring constant, x is the stretch distance.

Simple Harmonic Motion:

The motion of a mass on a spring when it is elastic force of restoring given by the Hooke’s law.

The motion of the particle that subjected to restoring force that vibrate to and fro movement from the point of equilibrium is known as Simple Harmonic Motion.

Conclusion:

The relationship between Hooke’s law and Simple Harmonic Motion is that any particle that obeying Hooke’s law would execute simple harmonic motion

Want to see more full solutions like this?

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 16, Problem 1ASA

To determine

The relationship between Hooke’s law and Simple Harmonic Motion.

Expert Solution & Answer

Answer to Problem 1ASA

The relationship between Hooke’s law and Simple Harmonic Motion is that any particle that obeying Hooke’s law would execute simple harmonic motion

Explanation of Solution

Hooke’s law:

One of the properties of elasticity that takes twice as much force to stretch out a spring twice as far. This linear dependence of the displacement on force of stretching is known as Hooke’s law.

Hooke’s law states that the force required to the stretch of the spring is directly proportional to stretch.

Write the expression for the Hooke’s law.

F=−kx

Here, F is the force required to the stretch of the spring, k is the spring constant, x is the stretch distance.

Simple Harmonic Motion:

The motion of a mass on a spring when it is elastic force of restoring given by the Hooke’s law.

The motion of the particle that subjected to restoring force that vibrate to and fro movement from the point of equilibrium is known as Simple Harmonic Motion.

Conclusion:

The relationship between Hooke’s law and Simple Harmonic Motion is that any particle that obeying Hooke’s law would execute 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 16, Problem 1ASA

To determine

The relationship between Hooke’s law and Simple Harmonic Motion.

Expert Solution & Answer

Answer to Problem 1ASA

The relationship between Hooke’s law and Simple Harmonic Motion is that any particle that obeying Hooke’s law would execute simple harmonic motion

Explanation of Solution

Hooke’s law:

One of the properties of elasticity that takes twice as much force to stretch out a spring twice as far. This linear dependence of the displacement on force of stretching is known as Hooke’s law.

Hooke’s law states that the force required to the stretch of the spring is directly proportional to stretch.

Write the expression for the Hooke’s law.

F=−kx

Here, F is the force required to the stretch of the spring, k is the spring constant, x is the stretch distance.

Simple Harmonic Motion:

The motion of a mass on a spring when it is elastic force of restoring given by the Hooke’s law.

The motion of the particle that subjected to restoring force that vibrate to and fro movement from the point of equilibrium is known as Simple Harmonic Motion.

Conclusion:

The relationship between Hooke’s law and Simple Harmonic Motion is that any particle that obeying Hooke’s law would execute simple harmonic motion

Answer 6

Chapter 16, Problem 1ASA

To determine

The relationship between Hooke’s law and Simple Harmonic Motion.

Expert Solution & Answer

Answer to Problem 1ASA

The relationship between Hooke’s law and Simple Harmonic Motion is that any particle that obeying Hooke’s law would execute simple harmonic motion

Explanation of Solution

Hooke’s law:

One of the properties of elasticity that takes twice as much force to stretch out a spring twice as far. This linear dependence of the displacement on force of stretching is known as Hooke’s law.

Hooke’s law states that the force required to the stretch of the spring is directly proportional to stretch.

Write the expression for the Hooke’s law.

F=−kx

Here, F is the force required to the stretch of the spring, k is the spring constant, x is the stretch distance.

Simple Harmonic Motion:

The motion of a mass on a spring when it is elastic force of restoring given by the Hooke’s law.

The motion of the particle that subjected to restoring force that vibrate to and fro movement from the point of equilibrium is known as Simple Harmonic Motion.

Conclusion:

The relationship between Hooke’s law and Simple Harmonic Motion is that any particle that obeying Hooke’s law would execute simple harmonic motion

Answer 7

Chapter 16, Problem 1ASA

To determine

The relationship between Hooke’s law and Simple Harmonic Motion.

Answer 8

Expert Solution & Answer

Answer to Problem 1ASA

The relationship between Hooke’s law and Simple Harmonic Motion is that any particle that obeying Hooke’s law would execute simple harmonic motion

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Hooke’s law:

One of the properties of elasticity that takes twice as much force to stretch out a spring twice as far. This linear dependence of the displacement on force of stretching is known as Hooke’s law.

Hooke’s law states that the force required to the stretch of the spring is directly proportional to stretch.

Write the expression for the Hooke’s law.

F=−kx

Here, F is the force required to the stretch of the spring, k is the spring constant, x is the stretch distance.

Simple Harmonic Motion:

The motion of a mass on a spring when it is elastic force of restoring given by the Hooke’s law.

The motion of the particle that subjected to restoring force that vibrate to and fro movement from the point of equilibrium is known as Simple Harmonic Motion.

Conclusion:

The relationship between Hooke’s law and Simple Harmonic Motion is that any particle that obeying Hooke’s law would execute simple harmonic motion