Displacement and force direction of the particle from its equilibrium position.

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 13, Problem 1MCQ

To determine

Displacement and force direction of the particle from its equilibrium position.

Expert Solution & Answer

Answer to Problem 1MCQ

Option (b).

Explanation of Solution

The force applied to the mass of the object attached to the spring is directly proportional to the displacement of the object. The SHM is always obeys the Hooke’s law.

Write the expression for the Hooke’s law.

Fs=−kx (I)

Here, Fs is the spring force, k is the spring constant and x is the distance of the object displacement.

The spring force is also called as restoring force. The negative sign indicates the restoring force is opposite the displacement of the object.

Conclusion:

Option (b) is correct. From equation (I), when force applied on the particle in SHM is displaces the object from its equilibrium position in the opposite direction.

Option (a) is incorrect. When force applied on the particle is in the same direction of displacement of the particle increases motion of the particle.

Option (c) is incorrect. When force is perpendicular to the displacement then the mass of the object remains in the same position. There is no motion of the particle.

Option (d) is incorrect. In SHM, force exerted by the spring is always in the opposite direction to its displacement.

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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 13, Problem 1MCQ

To determine

Displacement and force direction of the particle from its equilibrium position.

Expert Solution & Answer

Answer to Problem 1MCQ

Option (b).

Explanation of Solution

The force applied to the mass of the object attached to the spring is directly proportional to the displacement of the object. The SHM is always obeys the Hooke’s law.

Write the expression for the Hooke’s law.

Fs=−kx (I)

Here, Fs is the spring force, k is the spring constant and x is the distance of the object displacement.

The spring force is also called as restoring force. The negative sign indicates the restoring force is opposite the displacement of the object.

Conclusion:

Option (b) is correct. From equation (I), when force applied on the particle in SHM is displaces the object from its equilibrium position in the opposite direction.

Option (a) is incorrect. When force applied on the particle is in the same direction of displacement of the particle increases motion of the particle.

Option (c) is incorrect. When force is perpendicular to the displacement then the mass of the object remains in the same position. There is no motion of the particle.

Option (d) is incorrect. In SHM, force exerted by the spring is always in the opposite direction to its displacement.

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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 13, Problem 1MCQ

To determine

Displacement and force direction of the particle from its equilibrium position.

Expert Solution & Answer

Answer to Problem 1MCQ

Option (b).

Explanation of Solution

The force applied to the mass of the object attached to the spring is directly proportional to the displacement of the object. The SHM is always obeys the Hooke’s law.

Write the expression for the Hooke’s law.

Fs=−kx (I)

Here, Fs is the spring force, k is the spring constant and x is the distance of the object displacement.

The spring force is also called as restoring force. The negative sign indicates the restoring force is opposite the displacement of the object.

Conclusion:

Option (b) is correct. From equation (I), when force applied on the particle in SHM is displaces the object from its equilibrium position in the opposite direction.

Option (a) is incorrect. When force applied on the particle is in the same direction of displacement of the particle increases motion of the particle.

Option (c) is incorrect. When force is perpendicular to the displacement then the mass of the object remains in the same position. There is no motion of the particle.

Option (d) is incorrect. In SHM, force exerted by the spring is always in the opposite direction to its displacement.

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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 13, Problem 1MCQ

To determine

Displacement and force direction of the particle from its equilibrium position.

Expert Solution & Answer

Answer to Problem 1MCQ

Option (b).

Explanation of Solution

The force applied to the mass of the object attached to the spring is directly proportional to the displacement of the object. The SHM is always obeys the Hooke’s law.

Write the expression for the Hooke’s law.

Fs=−kx (I)

Here, Fs is the spring force, k is the spring constant and x is the distance of the object displacement.

The spring force is also called as restoring force. The negative sign indicates the restoring force is opposite the displacement of the object.

Conclusion:

Option (b) is correct. From equation (I), when force applied on the particle in SHM is displaces the object from its equilibrium position in the opposite direction.

Option (a) is incorrect. When force applied on the particle is in the same direction of displacement of the particle increases motion of the particle.

Option (c) is incorrect. When force is perpendicular to the displacement then the mass of the object remains in the same position. There is no motion of the particle.

Option (d) is incorrect. In SHM, force exerted by the spring is always in the opposite direction to its displacement.

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Answer 5

Chapter 13, Problem 1MCQ

To determine

Displacement and force direction of the particle from its equilibrium position.

Expert Solution & Answer

Answer to Problem 1MCQ

Option (b).

Explanation of Solution

The force applied to the mass of the object attached to the spring is directly proportional to the displacement of the object. The SHM is always obeys the Hooke’s law.

Write the expression for the Hooke’s law.

Fs=−kx (I)

Here, Fs is the spring force, k is the spring constant and x is the distance of the object displacement.

The spring force is also called as restoring force. The negative sign indicates the restoring force is opposite the displacement of the object.

Conclusion:

Option (b) is correct. From equation (I), when force applied on the particle in SHM is displaces the object from its equilibrium position in the opposite direction.

Option (a) is incorrect. When force applied on the particle is in the same direction of displacement of the particle increases motion of the particle.

Option (c) is incorrect. When force is perpendicular to the displacement then the mass of the object remains in the same position. There is no motion of the particle.

Option (d) is incorrect. In SHM, force exerted by the spring is always in the opposite direction to its displacement.

Answer 6

Chapter 13, Problem 1MCQ

To determine

Displacement and force direction of the particle from its equilibrium position.

Expert Solution & Answer

Answer to Problem 1MCQ

Option (b).

Explanation of Solution

The force applied to the mass of the object attached to the spring is directly proportional to the displacement of the object. The SHM is always obeys the Hooke’s law.

Write the expression for the Hooke’s law.

Fs=−kx (I)

Here, Fs is the spring force, k is the spring constant and x is the distance of the object displacement.

The spring force is also called as restoring force. The negative sign indicates the restoring force is opposite the displacement of the object.

Conclusion:

Option (b) is correct. From equation (I), when force applied on the particle in SHM is displaces the object from its equilibrium position in the opposite direction.

Option (a) is incorrect. When force applied on the particle is in the same direction of displacement of the particle increases motion of the particle.

Option (c) is incorrect. When force is perpendicular to the displacement then the mass of the object remains in the same position. There is no motion of the particle.

Option (d) is incorrect. In SHM, force exerted by the spring is always in the opposite direction to its displacement.

Answer 7

Chapter 13, Problem 1MCQ

To determine

Displacement and force direction of the particle from its equilibrium position.

Answer 8

Expert Solution & Answer

Answer to Problem 1MCQ

Option (b).

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

The force applied to the mass of the object attached to the spring is directly proportional to the displacement of the object. The SHM is always obeys the Hooke’s law.

Write the expression for the Hooke’s law.

Fs=−kx (I)

Here, Fs is the spring force, k is the spring constant and x is the distance of the object displacement.

The spring force is also called as restoring force. The negative sign indicates the restoring force is opposite the displacement of the object.

Conclusion:

Option (b) is correct. From equation (I), when force applied on the particle in SHM is displaces the object from its equilibrium position in the opposite direction.

Option (a) is incorrect. When force applied on the particle is in the same direction of displacement of the particle increases motion of the particle.

Option (c) is incorrect. When force is perpendicular to the displacement then the mass of the object remains in the same position. There is no motion of the particle.

Option (d) is incorrect. In SHM, force exerted by the spring is always in the opposite direction to its displacement.