Given the Lagrangian L of the damped oscillation 1 1 ebt/mkx²
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Q: 4. Prove that x = Ae¯2m' cO s(@t + q) is the solution of a damped oscillation equation m d²x +b + kx…
A: Given equation of damped oscillation, md2xdt2+bdxdt+kx=0 We know, for damped oscillation,…
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Q: Show that the average velocity o particle performing S.H.M. in one oscillation 2 x (maximum…
A: To show that-Vaverage=2π(Maximum velocity)Given-(V) in S.H.M.=ωa2-x2Vmax=aωwhen x=0
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A: Given value--- mass = 1.23 kg. spring constant = 235 N/m. Amplitude = 0.08 m. speed = 0.387 m/s.…
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Q: For a driven damped oscillator, show that the energy dissipated per cycle by a frictional force Fa =…
A: Answer:- Equation of motion x = A cos ωt…
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Q: A particle performing S.H.M. has a period of 6 second and its maximum velocity during oscillation is…
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Q: 3. Suppose you measure the length of an ideal pendulum as L = (0.855 ± 0.005) m, and that the…
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Q: A critically damped oscillator is represented by ̈x + 4 ̇x + 4 x = 0, where the coefficients are…
A: The critically damped oscillator differential equation of motion is given by: x¨+4x˙+4x=0which…
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A: Given data: The graph of wave motion Required: The amplitude, period and frequency
Q: Data Tables and Post-Lab Assessment Number of Oscillations: Object 50 g Mass 100 g Mass Bolt A Table…
A: To plot the graph Take mass in gram along x axis and time period T in second along y axis.
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