Question

Define linear simple harmonic motion
Ilsing differential equation of linec​

Answer 1

Answer:

A mass on a spring can be considered as the simplest kind of Simple Harmonic Oscillator.

With a displacement of x on mass m , the restoring force on the spring is given by Hooke's law, withing the elastic limit, F=-kx where k is the spring constant.

Newton’s Second law in the x-direction in differential form therefore becomes,

m

dt

2

d

2

x

=−kx

or

dt

2

d

2

x

=−

m

k

x

The above equation represents the differential form of SHM .

Here the spring force depends on the distance x, the acceleration is proportional to the negative of displacement.

hope my answer helps you please follow me and mark me as brainalist...