give the general equation of SHM
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Acceleration in SHM
Lets learn how. The differential equation of linear S.H.M. is d2x/dt2 + (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. We know that k/m = ω2 where ω is the angular frequency.
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The general equation for simple harmonic motion along the x-axis results from a straightforward application of Newton's second law to a particle of mass m acted on by a force: F = -kx, where x is the displacement from equilibrium and k is called the spring constant.
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