Question

What are the main characteristics of S.H.M​

Answer 1

SHM stands for Simple harmonic motion

Properties:-

$\\ \bull\sf\dashrightarrow Particle\:moves\:in\:one\:dimension.$

$\\ \bull\sf\dashrightarrow Particle\:moves\:towards\:a\:fixed\;mean\:position\:where\:F_{net}=0.$

$\\ \bull\sf\dashrightarrow Net\:Force\:on\:the\:particle\:is\:always\:directed\:towards\:mean\:position.$

$\\ \bull\sf\dashrightarrow Magnitude\:of\:net\;force\:is\:always\:proportional\:to\:the\:displacement\:of\:particle\:from\:the\:mean\:position\:at\:that\:constant.$

So

$\\ \bull\tt\dashrightarrow \boxed{\sf F_{net}=-kx}$

• k=Force constant

$\\ \bull\tt\dashrightarrow ma=-kx$

• m stands for mass
• a stands for acceleration

$\\ \bull\tt\dashrightarrow a=\dfrac{-k}{m}x$

Or

$\\ \bull\tt\dashrightarrow a=-\omega^2x$

Where

$\bull\sf \omega=Angular\:Frequency$

$\\ \boxed{\bull\tt\dashrightarrow \dfrac{d^2x}{dt^2}=-\omega^2x}$

This equation is called as the differential equation of S.H.M

Answer 2

Answer:

•→ The motion of a particle or body in S.H.M acts towards a fixed point.

•→ Acceleration of the body under S.H.M is proportional to its displacement.

•→ This motion is periodic.

•→ Mechanical energy is conserved in S.H.M

Explanation:

S.H.M is Simple Harmonic Motion

$.$