Derive the mathematical expressions for the position of velocity vectors of the mass in terms of the generalised coordinates q1 and q2.Calculate the kinetic energy, potential energy and Lagrange functions of the system. The system in the figure below consists of a massless spring with stiffness 60 N/m andunstretched length 0.4 m (indicated in black in the figure) that is wrapped around arigid massless bar (indicated in red in the figure). A mass of 5 kg is attached to the endof the spring and slides without friction along the bar. The spring/bar assemblagepivots without friction about the point O. Take as generalised coordinate q1 the angleof the bar w.r.t. the vertical and as generalised coordinate q2 the stretch of the spring.

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Answered: The system in the figure below consists…

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