Find the general solution of the damped shm equation for, Mechanical Engineering

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Find the general solution of the damped shm equation for

Critical damping

Find the general solution of the damped SHM equation for the special case of critical damping, that is, when K = Ω. Show that, if the particle is initially released from rest at x = a, then the subsequent motion is given by

x = ae^-Ωt(1 + Ωt).

Sketch the graph of x against t.

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Mechanical Engineering: Find the general solution of the damped shm equation for

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Mechanical Engineering: Find the general solution of the damped shm equation for

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