Physics, asked by kunalkumarpatra04, 7 months ago

State of the differential equations for damped harmonic oscillation

Answers

Answered by supritis

Answer:

If a frictional force ( damping ) proportional to the velocity is also present, the harmonic oscillator is described as a damped oscillator. ... Newton's second law takes the form F(t)−kx−cdxdt=md2xdt2 F ( t ) − kx − c d x d t = m d 2 x d t 2 .

Answered by Laraleorapathi

Explanation:

Damped oscillation occurs for δ < ω 0 . In this case, the discriminant in equation is negative. Therefore and are complex numbers. The exponential ansatz x ( t ) = C e λ t is again used to solve the differential equation

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