Simple harmonic motion is a type of periodic motion in which an object oscillates back and forth in a straight line, with a constant amplitude and a period that is independent of its amplitude. It occurs when there is a restoring force acting on the object that is directly proportional to its displacement from its equilibrium position.
An example of simple harmonic motion is a mass attached to a spring, where the mass oscillates back and forth as the spring stretches and compresses. Another example is a pendulum, where the bob swings back and forth under the influence of gravity.
The period of simple harmonic motion is calculated using the equation T = 2π√(m/k), where T is the period, m is the mass of the object, and k is the spring constant. This equation assumes that there is no damping or friction present.
The main difference between simple harmonic motion and uniform circular motion is the type of force that causes the motion. In simple harmonic motion, the force is directly proportional to the displacement from equilibrium, while in uniform circular motion, the force is directed towards the center of the circle.
Yes, simple harmonic motion can occur in real-life systems. Some examples include a guitar string vibrating, a tuning fork, and a swing. It is also a useful model for describing the motion of many mechanical and electrical systems.