A mass \(m\) is suspended by a mass-less spring of spring constant \(k\) and un-stretched length\(b\). The suspension point is pulled upwards with constant acceleration \(a_0\). Gravity acts vertically downwards.
Find the Lagrangian and Hamiltonian function and write Hamilton's equations of motion. Find also the period of motion.
Panat
Assistance for Classical Mechanics Tutorial-I
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Find the direction along which the spin projection is $1/2$ for a spin half particle if the spin wave function the particle is given to be
\[ \chi = \begin{pmatrix} 3\over 5 \\ -{4\over 5} \end{pmatrix}\]
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