Define SHM??????????????????
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Answer:
Simple harmonic motion is motion that is specifically sinusoidal; that is, it can be described by a sine wave
- A restoring force must act on the body.
- Body must have acceleration in a direction opposite to the displacement and the acceleration must be directly proportional to displacement.
- The system must have inertia (mass).
- SHM is a type of oscillatory motion.
- It is a particular case of preodic motion.
SHM (Simple harmonic motion) is a type of oscillatory motion in which acceleration is directly dependent on the displacement from a mean position, i.e. a = -ω^2x
In general, displacement is given as: x = A sin (ωt +φ0)
Here, ω is the angular frequency, A is the maximum displacement (or, amplitude) and φ0 is the initial phase.
The characteristics of simple harmonic motion are undamped, undriven, periodic motion. Any equation of motion that can be derived through the use of the following restoring force: F = -kx, where F is the force vector, k is the spring constant, and x is displacement vector, will exhibit simple harmonic motion. The motion itself is described by the equation x(t) = Acos(wt + p), where x(t) is the position as a function of time, A is the amplitude of the motion, w is its angular frequency, and p is the phase.