What is the logarithmic decrement of damping <mrow

Davian Maynard

Davian Maynard

Answered question

2022-05-26

What is the logarithmic decrement of damping Λ of damped harmonic oscillator, if its mechanical energy decreases to the 50% of its initial value during first 10 seconds? The period of oscillations is T=2s.

Answer & Explanation

Sasha Pacheco

Sasha Pacheco

Beginner2022-05-27Added 10 answers

Mechanical energy is proportional to the amplitude squared so if the ratios of energies is 1 2 , the ratio of amplitudes will be 1 2 then:
δ = 1 5 l n 1 1 2 = 1 5 l n 2 = 0.0693

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