Question

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

Answer 1

•→ 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

Step-by-step explanation:

S.H.M is Simple Harmonic Motion

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Answer 2

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.`

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=(-k)/(m)x`

Or

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

Where

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

`\\ \boxed{\bull\tt\dashrightarrow (d^2x)/(dt^2)=-\omega^2x}`

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