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: using moments, how do u compute these
A:
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: If the Periodic Time is 25 usecs then the value of the Frequency is 0.04 MHz. Select one: True O…
A: Periodic time (T) = 25μseconds = 2.5×10-5 seconds
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: 6. Let W and W, denote two independent Brownian motions, derive the SDE for the stochastic variable…
A: Wt,Wt~ are two independent brownian motionsYt=WtWt~
Q: If atoms of the same mass form a linear chain in the normal mode with the force constants between…
A: The dispersion relation gives the relation between the angular frequency and wavevector of the wave…
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: A low voltage transformer manufacturing line has a purchase order of 1700 piece. If the…
A: We will only answer the first question since the exact question to be answered was not specified.…
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: 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: In Problem 28 nd the critical points and phase portrait of the given autonomous rst-order…
A: The objective of the question is to find the critical points and phase portrait of the given…
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: 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 a covariant definition of the energy (valid in any reference frame) is E = -P#Uµ. (This…
A: Uμ = Four velocity = dxμdτ a contra varient tensor of rank 1 and we know , dτ = dtγ Now Uμ…
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: What is the definition of the Nernst equilibrium potential?
A: definition of Nernst equilibrium potential is done in below step.
Q: = (V2)1/2 K πGOO ' Consider the dispersion relation of a linear spiral density wave perturbation…
A:
Q: Consider a non-rotating circular thin disc of gas of radius R. The only forces present in the system…
A: Step 1:Step 2:Step 3:Step 4:
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: The spool has a mass, m, and a radius of gyration, kG. The inextensible cord is attached to the wall…
A: Consider the figure 1 below showing the forces acting on the system.
Q: When a river flows at a velocity V past a circular pylon of diameter D, vortices are shed at a…
A: Given that,The speed of river = VDiameter of circular pylon = DFrequency of vortices = fDensity of…
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: 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: Consider a spherical cloud of gas of diameter D and density p. The only forces present in the system…
A:
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: The dispersion relation of a system is given by w(k)=2w, sin, where wo is a constant and n is an…
A: We will answer the questions using formula for group velocity and phase velocity. The steps are as…
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…
Q: A Seund wave travels of a speed of 422 m[s. If ite in the frequency warelength is 31 cm-what 18 of…
A: Wavelength × frequency = speed Here, Wavelength =3.1cm = 3.1×10^-2 m Speed = 422 m/s
Q: A water drop of radius 10m is broken into 1000 equal droplets. Calculate the gain in surface energy.…
A: Given data R=0.01 mσ=0.075 N/m Here, R is the radius of the droplet. While σ is surface tension.…
Step by step
Solved in 3 steps with 3 images