Poisson bracket: prove that for one dimensional harmonic oscillator, H=p^2/2m+kx^2/2: x p H = = = p² 2m + {x, H} {p, H} ん-2 k = р m -kx
Q: a simple pendulum of length 3 m is set into simple harmonic motion at an angle of 20°. Determine the…
A:
Q: 3. A nonlinear oscillator of mass 1 has dimensionless potential energy (3x² – x*)/2. For a…
A: The complete elliptic integral of the first kind K(k) is defined as…
Q: 6) Consider a bob attached to a vertical string. At t = 0, the bob is displaced to a new position…
A: consider a bob attached to a vertical string. At t = 0, the bob is displaced to a new position where…
Q: A string of length 5.0 m is fixed in place on both ends. When it is plucked, it produces a standing…
A: The frequency of a standing wave on a string is determined by the wave speed and the wavelength of…
Q: A stretched string tied at both ends is oscillating in its second harmonic. The string’s shape is…
A:
Q: 44. Go mmh Astronauts on a distant planet set up a simple pendulum of length 1.2 m. The pendulum…
A: The pendulum makes 100 vibrations in 280s. So,
Q: Two simple motions are represented by y1=5(sin2πt+√3 cos2πt) y2=5sin(2πt+π/4) The ratio of the…
A: C
Q: Given zero initial conditions a harmonic input f(t)= 20 sin(20 tt), k= 2000 N/m, and a mass of 0.45…
A: Given, Harmonic input, ft=20 sin20πt k=2000 N/m Mass, m=0.45 kg
Q: If the initial position of a block is x = .16 meters and its initial velocity is - 5 m/s, and K =…
A:
Q: The following graphs plot the frequency of sounds on the x-axis vs. the amplitude of those sounds on…
A: A musical instrument made of a pipe that is open at one end and closed at the other end reflects…
Q: Problem #027. A sewing machine's needle point moves in SMH at a frequency of 2.30 Hz. At t = zero,…
A: Using general equation of SHM and using given conditions we can get the equation of the problem.
Q: A) What displacement of a SHO is the energy hall kinetic and half potential? B) What fraction of…
A:
Q: A 5 kg rope with a 50 kg mass is hung from the edge of a cliff. If the rope is 20 m long, and one…
A: Given, Mass of rope m = 5 kg Mass of object M = 50 kg distance d = 20 m…
Q: A mass m = 4.8 kg is at the end of a horizontal spring of spring constant k = 395 N/m on a…
A: Given that:m=4.8 kgk=395 N/mA=3.5 cm=0.035 m
Q: A mass m = 2.8 kg is at the end of a horizontal spring of spring constant k = 490 N/m on a…
A: Given Mass m = 2.8 kg Spring constant k = 490 N/m Amplitude A = 8.5 cm = 8.5 x 10-2 m
Q: 13. QC SA simple harmonic oscillator of amplitude A has a total energy E. Determine (a) the kinetic…
A: The total energy of a SHM is,
Q: A guitar string is 90.0 cm long and has a mass of 3.16 g. From the bridge to the support post there…
A: Length of string is Mass is Distance between bridge to the support is Tension in rope is…
Q: You hold a speaker up to closed ended air column that is 1.20 m long. You slowly raise the frequency…
A:
Q: A rope has a mass of 2 kg and a length of 10 m. It is stretched with a tension of 50 N and fixed at…
A: Given terms: Mass = 2 kg Length = 10 m Tension on the rope = 50 N
Q: The equation of a certain traveling transverse wave is y1 = 2 cos (200nt - 0.05nx) where x and ·y…
A:
Q: 5. For the following displacement functions describing simple harmonic mo- tion, identify the…
A: simple Harmonic motion.
Q: The period of a simple harmonic oscillator is 0.04 s. What is its angular frequency? A. 25 л rad/s…
A: Given data: A simple harmonic motion Period (T) = 0.04 s Required: The angular frequency (ω)
Q: A particle moving along the x-axis in simple harmonic motion has at t = 0, xi = 0.348 m, vi…
A: Given data *The initial position of the particle is xi = 0.348 m *The initial velocity of the…
Q: Is the frequency of a simple periodic wave equal to the frequency of its source? Why or why not? B I…
A: The frequency is the property of the source only and it is independent of other things .
Q: Tarzan swings back and forth on a long vine. His friend Jane notices in amazement that he makes 30…
A:
Q: The differential equation for a simple harmonic oscillator is the following: x''=-ω2x True or…
A: The solution of the simple harmonic oscillation equation is,Differentiate the above equation with…
Q: Oscillation: A 175 g glider on a horizontal, frictionless air track is attached to a fixed ideal…
A:
Q: particle performs a simple T-period harmonic movement along the x-axis between the points x = –xm…
A:
Q: The first harmonic frequency of a violin string is 440 Hz. a. Find the next 3 harmonic frequencies…
A:
Q: simple harmonic oscillator consists of a block of mass 2.00 kg attached to a spring of spring…
A:
Q: One end of a horizontal string is attached to a small-amplitude mechanical 60.0-Hz oscillator. The…
A:
Q: A stretched string, long L, fixed at both ends, vibrates on the fifth harmonica. How far from one…
A: The given length of the string is L and it vibrates on the fifth harmonics so as per the question…
Q: The equation of a certain traveling transverse wave is y1 = 2 cos (200nt -0.05nx) where x and ·y are…
A: Given,
Q: In pipe A, the ratio of a particular harmonic frequency to the next lower harmonic frequency is 1.2.…
A: Given data: - The ratio of a particular harmonic frequency to the next lower harmonic frequency of…
Q: The graph plots the position of an object in simple harmonic motion along the x-axis. x [cm] 3 2 1 0…
A: Given data: The position vs time graph for an object in simple harmonic motion Required: The…
Q: K A loudspeaker diaphragm is oscillating in simple harmonic motion described by the equation d = a…
A:
Q: Consider the case of normal modes of vibration for the air column with only one end closed. What is…
A: Given: normal modes of vibration for the air column with only one end closed.
Q: An open air column of length 1.60 m is in air at 23.8 °C. What is the frequency of the fourth…
A: Given: length of open air column L = 1.60 m frequency of fourth Harmonic = f4 speed of sound in air…
Q: Please help thank you a) Find the maximum velocity of the eardrum for vibrations of amplitude 3.99 x…
A:
Q: The displacement x(t) of a damped harmonic oscillator satisfies the equation x(t) - 2Bx(t) + wzx(t)…
A:
Q: A string with a length of 1.65 m is fixed at both ends. It is then allowed to oscillate transversely…
A: givenL=1.65 m2A=16.6 cm=0.166 mx=0.967 mthere is only 1 node between the ends so,L=λ=1.65 m
Q: There are two initial conditions associated with the simple harmonic motion differential equation.…
A: The following data are given: The simple harmonic motion(SHM) differential equation has two initial…
Q: Adapt the method of Example 6 to determine the amplitude, period, and phase shift for the given…
A:
Trending now
This is a popular solution!
Step by step
Solved in 2 steps