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June 30th, 2016, 06:09 PM
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Join Date: Mar 2012
Re: Karnataka Open University Model Question Paper

The M. Sc Degree Examination previous year question paper of KSOU or Karnataka State Open University is as follows:

1. a) Prove that the sum of PE and KE remains constant for a system of particles
moving under the action of a conservative force.
b) Define centre of mass for a system of particles (10+5)
(OR)
2. a) Starting from D’Alembert’s principle, derive an expression for Lagrange’s
equations of motion.
b) What are constraints? Write their classification. (10+5)
3. a) Derive Hamilton’s canonical equations of motion from variational principle.
b) Obtain Hamiltonian for one dimensional simple harmonic oscillator. (10+5)
(OR)
4. a) Define the term ‘canonical transformation’ and hence derive the condition for a
canonical transformation.
b) Define Poisson bracket and express Hamilton’s equation of motion using Poisson’s
equation. (10+5)
5. a) Using Hamilton –Jacobi method solve one dimensional harmonic oscillator
problem.
b) State and prove parallel axis theorem. (10+5)
(OR)
6. a) Set up Euler equations of motion for a rigid body.
b) What do you mean by inertia? Explain its physical significance.


Attached Files
File Type: pdf M. Sc Degree Examination question paper of KSOU.pdf (188.7 KB, 82 views)


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