When you displace an object from its equilibrium position and the force pushing it back toward equilibrium is the resulting motion is simple harmonic motion?

The force acting on the body to bring it back towards its equilibrium position to obtain a simple harmonic motion should be linear in nature.

Further Explanation:

When a body kept at its equilibrium position is disturbed by very small amplitude, if it starts to perform oscillations of small amplitude then the oscillation of the body in small amplitude is termed as the simple harmonic motion.

When we displace a body by a very small displacement, there is force acting on the body which brings it back to the equilibrium position.

The restoring force acting on the body is expressed as:

The above expression shows that the restoring force is acting in the direction opposite to the motion of the body and it is linear with the position of the object.

Thus, the force acting on the body to bring it back towards its equilibrium position to obtain a simple harmonic motion should be linear in nature.

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Answer Details:

Grade: High School

Subject: Physics

Chapter: Simple Harmonic Motion

Keywords:

Displace an object, equilibrium position, simple harmonic motion, F=-kx, resulting motion, restoring force, towards equilibrium, opposite direction.

6 cos 34, 6 sin 34 trig