Question

obtain differential equation of linear SHM​

Answer 1

Answer:

Simple harmonic motion is an oscillatory motion in which the particle's acceleration at any point is directly proportional to its displacement from the mean position.

Explanation:

• SHM, or Simple Harmonic Motion, is described as a motion in which the restoring force is directly proportional to the body's displacement from its mean position.
• This restorative force always moves in the direction of the mean position.

• The acceleration of a particle moving in a simple harmonic motion is given by a(t) = -2 x (t). Here, is the particle's angular velocity.
•  It is an example of oscillatory motion.
• Simple Harmonic Movements (SHM) are all oscillatory and periodic, however not all oscillatory motions are SHM.
• Oscillatory motion is frequently referred to as the harmonic motion of all oscillatory movements, the most significant of which is simple harmonic motion (SHM).
• In this sort of oscillatory motion, displacement, velocity, acceleration, and force fluctuate (with respect to time) in a form that can be represented by either the sine (or) cosine functions, which are referred to collectively as sinusoids.