The restoring force in simple harmonic motion is directly proportional to: (2023

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Question: The restoring force in simple harmonic motion is directly proportional to: (2023)

Options:

Correct Answer: Displacement

Exam Year: 2023

Solution:

Restoring force (F) is proportional to displacement (x), F = -kx.

The restoring force in simple harmonic motion is directly proportional to: (2023)

The restoring force in simple harmonic motion is directly proportional to: (2023)

Step 1: Understand what simple harmonic motion (SHM) is. It is a type of motion where an object moves back and forth around a central point.
Step 2: Identify the concept of restoring force. This is the force that brings the object back to its central position when it is displaced.
Step 3: Learn about displacement. Displacement (x) is how far the object is from its central position.
Step 4: Recognize the relationship between restoring force and displacement. The restoring force (F) is directly proportional to the displacement (x).
Step 5: Understand the formula F = -kx, where k is a constant that depends on the system. The negative sign indicates that the force acts in the opposite direction of the displacement.

Simple Harmonic Motion – The motion of an object where the restoring force is directly proportional to the displacement from its equilibrium position.
Restoring Force – The force that brings a system back to its equilibrium position, which in simple harmonic motion is proportional to the displacement.
Hooke's Law – A principle stating that the force needed to extend or compress a spring is proportional to the distance it is stretched or compressed.