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

₹0.0

Question: The restoring force in a simple harmonic motion is directly proportional to:

Options:

Correct Answer: Displacement

Solution:

Restoring force F = -kx, where k is the spring constant and x is the displacement.

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

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

Step 1: Understand that simple harmonic motion (SHM) involves an object that moves back and forth around a central position.
Step 2: Recognize that the restoring force is the force that pulls the object back towards the central position.
Step 3: Learn that this restoring force is represented by the formula F = -kx.
Step 4: In this formula, 'F' is the restoring force, 'k' is a constant called the spring constant, and 'x' is the displacement from the central position.
Step 5: Note that 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 proportional to the displacement from the equilibrium position.
Hooke's Law – The principle that states the restoring force is proportional to the displacement, represented by the equation F = -kx.