In a simple harmonic motion, the restoring force is directly proportional to the

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Question: In a simple harmonic motion, the restoring force is directly proportional to the displacement. What is the nature of this force? (2022)

Options:

Correct Answer: Conservative

Exam Year: 2022

Solution:

The restoring force in SHM is a conservative force as it can do work and store energy.

In a simple harmonic motion, the restoring force is directly proportional to the displacement. What is the nature of this force? (2022)

In a simple harmonic motion, the restoring force is directly proportional to the displacement. What is the nature of this force? (2022)

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 what the restoring force is. This is the force that pulls the object back towards the central point when it is displaced.
Step 3: Recognize that in SHM, the restoring force is directly proportional to how far the object is from the central point. This means if you pull it further away, the force gets stronger.
Step 4: Learn about conservative forces. These are forces that can do work and can store energy, like gravity or spring force.
Step 5: Conclude that since the restoring force in SHM can do work (by moving the object back) and can store energy (like in a spring), it is a conservative force.

Simple Harmonic Motion (SHM) – SHM is a type of periodic motion where the restoring force is proportional to the displacement from the equilibrium position.
Restoring Force – The force that brings a system back to its equilibrium position, which in SHM is proportional to the displacement.
Conservative Forces – Forces that do not dissipate energy and can store potential energy, such as the restoring force in SHM.