Question

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✔ What is the force equation of a $\color{green}{SHM? }$ ♥️

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Answer 1

$\huge\red{Answer}$

Consider any particle executing SHM with origin as it's equilibrium position under the influence of restoring force F=

kx , where k is the force constant and x is the displacement of particle from the equilibrium position.

Now since F= -kx is the restoring force and from Newton's law of motion force is give as F=ma , where m is the mass of the particle moving with acceleration a. Thus acceleration of the particle is 

          a=F/m

           =-kx/m

but we know that acceleration a=dv/dt=d2x/dt2

⇒           d2x/dt2=-kx/m           (1)

This equation 1 is the equation of motion of SHM.

HOPE IT HELPS YOU !!

Answer 2

☆$\red {HELLO\:DEAR}$☆

• In SHM force constant is given by k=mw^2, where m is mass of the particle performing SHM.

• w is angular frequency.

• In accounting for vibrational spectra of molecules force constant for inter atomic force play an important role.

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