The frequency of a damped harmonic oscillator is one-half the frequency of the same oscillator with no damping, Find the ratio of the maxima of successive oscillations.

Q: An automobile can be considered to be mounted on four identical springs as far as vertical…

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Q: Calculate the velocity of a simple harmonic oscillator with amplitude of 25.7 cm and frequency of 5…

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Q: In a harmonic oscillator, the displacement is one half the amplitude. What fraction of total energy…

A: The total energy of the oscillator is

Q: (a) As an illustration of action angle variables to find frequency, consider a linear harmonic…

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Q: The original time period of the simple harmonic oscillator is T . if the spring constant k of the…

A: The time period of the simple harmonic oscillator and the spring constant k is related as

Q: A SIMPLE PENDULUM HAS A PERIOD OF 2S AND AN AMPLITUES D 2 DEGREES, AFTER 10 COMPLETE OSCILLATIONS…

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Q: The amplitude of an oscillator having frequency of 300 oscillations per second reduces to 1/10 th of…

A: Frequency = f = 300 oscillations per second number of oscillation :n = 6000 oscillations  ⇒T = 1f =…

Q: (a) If frequency is not constant for some oscillation, can the oscillation be SHM? (b) Can you think…

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Q: The angular frequency and amplitude of a simple pendulum are w and A respectively. At a displacement…

A: The velocity of the particle executing SHM is

Q: A compressor of mass 1100 kg is mounted on a spring which deflects 10mm under the static load. The…

A: Given :                m = 1100 kg                ς = 10mm = 0.01 m                Amplitude = 6mm =…

Q: The displacement of a harmonic oscillator is half of its amplitude. What fraction of the total…

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Q: (a) If frequency is not constant for some oscillation, can the oscillation be simple harmonic…

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Q: with x=Asinωt write down an expression for the

A: Given:- A simple harmonic oscillator is given as  x=Asinωt Find:-  write down an expression for the…

Q: Calculate the velocity of a simple harmonic oscillator with amplitude of 13.5 cm and frequency of 5…

A: Given: The amplitude of the system is 13.5 cm. The frequency of the system is 5 Hz. The position of…

Q: Calculate the velocity of a simple harmonic oscillator with amplitude of 11.8 cm and frequency of 5…

A: We need to calculate the velocity of the simple harmonic oscillator at a distance of 5 cm from the…

Q: a particle of mass m makes simple harmonic motion with force constant k around the equilibrium…

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Q: between occurrences fraction of the total er

A: Amplitude of angular oscillator =A  angular frequency of angular oscillator = w  KE=1/2mw2(A2-y2)…

Q: If the frequency of the motion of a simple harmonic oscillator is tripled, by what factor does the…

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Q: Consider two pendulums with lengths  L1 and L2  performing simple harmonic motion. Find the value of…

A: Given data: Frequency of the first pendulum, f1=10 per minutes Frequency of the second pendulum,…

Q: An automobile can be considered to be mounted on four identical springs as far as vertical…

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Q: A needle of sewing machine moves in a path of amplitude 2 cm and has frequency 10 Hz with a simple…

A: Solution:-Given thatAmplitude (A)=2 cmFrequency (f)=10 HzTime (t)=140th secAngular velocity (ω)=2πf

Q: Show that the total mechanical energy of a simple harmonic oscillator x(t) = A cos[w(t)] is…

A: Given Data: xt=A cos ωt

Q: An automobile can be considered to be mounted on four identical springs as far as vertical…

A: Given:Frequency = 2.54 HzMass of the car = 1590 kgAverage mass of passengers = 78 kg

Q: The maximum velocity attained by the mass of a simple harmonic oscillator is 10 cm/s, and the…

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Q: Calculate the velocity of a simple harmonic oscillator with amplitude of 19.9 cm and frequency of 5…

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