Question

Derive the differential equation of SH.M.
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Answer 1

Answer:

The differential equation of linear S.H.M. is

$\huge{\boxed{\mathbb{d^2x/dt^2 + (k/m)x = 0 }}}$

where, d2x/dt2 is the acceleration of the particle, x is the displacement of the particle, m is the mass of the particle and k is the force constant.

Answer 2

Answer:

The differential equation for the Simple harmonic motion has the following solutions: x = A sin ⁡ ω t x=A\sin \omega \,t x=Asinωt (This solution when the particle is in its mean position point (O) in figure (a)