Write Hamonic oscillator. under infinitesimal transformativn x The гаранёт Lapansion of → x² = спе Show that it Obtain the conserved above transformativi a x + € Sin (wt) quantity dimensional. is where invariant w= √ K k→ spring constt. associated uita
Q: B/Express f(x) = cos wx, -1 < x < π, as a Fourier series. Hence prove that 2w π(W² - 1²) cot wπ = +…
A: Given, Function of x is f(x) =cosωx
Q: using moments, how do u compute these
A:
Q: 3. (1) To find the deflection of the simply supported beam by using Fourier Sine series. q is the…
A: EI =d4ydx4+Nd2ydx2-qx =0
Q: Find the expected ualue of the Harmonic oscillator function Un lx) =Nexp ( *z) Hn Lx)
A: it is required to find the expected value of the given harmonic oscillator function. Here the given…
Q: cillator, show the raising
A: The proof of commutation relations as,
Q: You are spinning a 20kg mass horizontally attached to a spring. The relaxed length of thespring is…
A:
Q: (a) Show that the transformation Q = p + iaq, P = (p − iaq) / (2ia) is canonical and find a…
A:
Q: you know that the escilator drops to 1/5 of its initial values after using it from the full…
A: It is known that the waning frequency is calculated as, ωd=ωn1-ζ2, where ωn is the natural…
Q: Verify that the operator in momentum representation is given by use the methods shown in class by…
A:
Q: The energy of a 1-dimensional harmonic oscillator for the case in which n=1 is hv. O True False
A: For 1D harmonic oscillator: n=1
Q: A single-variable differential equation without time delay cannot oscillate. (Hint. What would a…
A: Introduction: Delay differential equations are a type of differential equation in which the…
Q: Q Calculate the velocity of longitudinal and shear elastic waves in a cubical crystal along (111)…
A:
Q: Consider the element of phase space defined by kinetic energy inter val S toʻstds. is the Volume in…
A: Consider phase space of particle in 3 dimensional space, which has 3 mometum directions and 3…
Q: I Gnsikr the differen tial eguation the differential spua fon yニスxy? g) wha! is +he kgree of the…
A:
Q: H.W: (I) - Find the inverse Laplace transform of: s+5 s²+2s +5 1. F(s) 4. F(s) 1 s² + 4s 2s² + 3s +2…
A: We can solve the given Laplace inverse of given questions as following in next step.
Q: q mass m. movesS in ene dimension Such that it has Lograngian the 12 ere v is differentiable…
A: Euler Lagrangian equation is given byL= m2x2.12+mx2 v(x)-v2(x). we have…
Q: Consider the three-mass system shown. Give any set of initial conditions that will excite the low…
A: Given, Three mass system connected by spring
Q: Q2: A pendulum bob of mast m is suspended by a string of length / from a car of mass M which moves…
A: To determine: (a) The Lagrangian function The mass of the pendulum is m, the length of the pendulum…
Q: Consider a Critically damped oscillater of m, damping 4ficient b, mas Co- Dand initial displadementA…
A: The energy of a damped oscillator is given by : E=12kAe-b2mt2Here, A is amplitude of oscillation…
Q: There is a pendulum wth a length of 13.9me ters. suings with En amplitude of O. 088 meters, what is…
A: maximum acceleration(amax) of the pendulum.given,Amplitude(A)=0.088 mlength of pendulum(L)=13.9…
Q: Find the Fourier series of f(x) on
A: Given function: f(x)=-π x∈(-1,0),π x∈(0,1).
Q: This is a closed path why will SE -dZ aloays equal žero, regardless of the path's shape and where on…
A: Line integral of electric field gives potential difference and in case of closed loop ,we reached…
Q: O A Simple Harmonic oscillator of mass m and natural freguency Wo, driving 4t)- maloscot .…
A: Given condition at t=o, The given differential equation The solution of this equation is sum of…
Q: If the function f(t) represents the given physical quantity, match the corresponding interpretation…
A: For any function f(t), to match the corresponding interpretation of its definite integral ∫abf(t)dt
Q: If the particle has a velocity vo = 5 mm/s at t = 0, determine the particle position, velocity, and…
A:
Q: Find the minimum acceleration needed for a maglev train to reach a speed of 430 km/h in 3.0 km, one…
A: Given data: The speed of the maglev train is v=430 km/h. The distance is s=3.0 km. Calculate the…
Q: A particle of under the mass m. moves. influence of Hhe in the hagionx20 and a>0, Determine la) the…
A: Given: Mass of particle = m Potential energy, v(x) = (1-ax)e-ax
Q: Prove that the Hermitian energy factor is =iħ Ә Ət
A:
Q: Show that the minimum energy of a simple harmonic oscillator is hω/2. What is the minimum energy in…
A: The mean value of x2av is the mean square devation ∆x2By substituting the mean square deviation…
Q: Obtain a nth derivative formula for Laplace transform of of a function f(t).
A:
Q: Consider a one-dimensional scalar field f(x) = A (2x -) defined for -1 sxs1where x is the gauge…
A: Given: The one-dimensional scalar field is f(x)=A2x-x22 To calculate: The effective measurand The…
Q: 43. The pnrabolic coordinates (.n) are related to the Cartesian coordinate (x, y) by x = En and y…
A: Given: x=ξηy=ξ2-η2
Q: = (V2)1/2 K πGOO ' Consider the dispersion relation of a linear spiral density wave perturbation…
A:
Q: Consider a damped harmonic osaillater which for K is So N/m State the ascilladery mation when is…
A: Given data: The mass of the oscillating object, m=0.05 kg. The spring constant, k=5.0 N/m. The…
Q: Calculate the reflection coefficient R and the transmission coefficient T of the scattering caused…
A: Answer
Q: Coupled Flarmonic Oscillators X2 : 0 ) Write down the 2nd law for each of the masses. Use…
A: We will only answer the first question since the exact question to be answered was not specified.…
Q: 5 An electric fan in room at 25 °C is producing a small sound in a swinging mode from its frame. The…
A: Given: Temperature,T=250CAngular Velocity,ω=1rad/sVelocity of the sound,v=344m/sInitial…
Q: Q# 04: Find Laplace transform of the function 2 Sint
A: The function is of the form tn f(t) where, n=2
Q: A sphere, of radius a, is suspended by a fine wire from a fixed point at a distance 1 from its…
A:
Q: A double pendulum consists of two equal masses 'm' suspended by two strings of length L. What is the…
A: Solution: The free-body diagram is
Q: Q.18. Verify the statement in the text that, if the phase velocity is the same for all wavelengths…
A:
Q: A certain wavefunction is zero everywhere except between x = 0 and x = L. where it has the constant…
A: This is example of particle in one dimensional box. Particle in infinite potential box cannot escape…
Q: d vanish physically. Show that the first term is the nonrelativistic expre
A: Given equation as, K=mγ-1
Q: Given a wavefunction as shown below, find , , and . Note: you will need to normalize the…
A: Given, A wavefunction and expectation values
Q: What is the curl of the linear restoring force for an isotropic harmonic oscillator?
A: The linear restoring force for an isotropic harmonic oscillator is given by Where k = Oscillator…
Step by step
Solved in 3 steps with 3 images