Obtain the lagranges equations of motion

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Reference no: EM13495299

A simple pendulum of length l and mass m is attached to a massless spring with elastic constant k. The attachment point moves only in a vertical direction.

a) Write down the Lagrangian of the system;

b) Obtain the Lagrange's equations of motion;

c) Define the generalized momenta for the system;

d) Obtain the Hamiltonian for the system;

e) Write down the canonical (Hamilton's) equations of motion;

f) Show that the Lagrange's and canonical equations of motion are equivalent to each other.

Reference no: EM13495299

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