Write down the Hamiltonian function and Hamilton’s canonical equations for a simple Atwood machine.

Q: mass m moves in a plane under the influence of a central force

A: According to the question, ody moves in the central force motion which depends only upon the…

Q: show hamiltonian operator for the plane waves (exponential, imaginary) Prove that this operator does…

A: The questions are: a) show Hamiltonian operator for the plane waves (exponential, imaginary). b)…

Q: Q4: a) Calculate: (uz|A*|u6). b) If the Hamiltonian of harmonic oscillator defined as H = ħw + A*A…

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Q: Show that for a particle in a box of length L and infinite potential outside the box, the function…

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Q: Set up the Hamiltonian formalism Atwood machine. Use the height x of m measured downward as the one…

A: Consider the left mass m1 moves up by x, then the right mass m2…

Q: A particle of mass m oscillates in a vertical plane suspended by a massless string that goes through…

A: This is the problem with the simple pendulum with a variable length of the pendulum.  That is  of…

Q: Let a two-degree-of-freedom system be described by the Hamiltonian = 1/ (p² + p ²) + V(x, y) and…

A: Given Hamilton : And the potential energy  V is a homogeneous function of degree -2  for all

Q: Verify that Y1 and Y1' are eigenfunctions of the 3D Rigid Rotor Hamiltonian.

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Q: A material point of mass m moves in space under the influence of an astral field forces, known…

A: A material point of mass m moves in space under the influence of an astral field forces, known…

Q: Two treads balls with masses 2 kilogram and three kilograms are suspended on threads of 70…

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Q: *Problem 4.34 (a) Apply S_ to |10) (Equation 4.177), and confirm that you get /2h|1–1). (b) Apply S+…

A: (a) As we know,S±=|s ms>=hs±mss±ms+1  |s ms±1>Here s=1 and ms=0,S-=|1 0>=h1-01-0+1  |1…