a) What are generalized co-ordinates? mv² kx² LagrangianL = 2 2 b) Two pendulums of mass 50g each are suspended by massless rigid rods of length 0.98m. The two masses are coupled by a massless spring of force constant k=150 dyne/cm. Determine the normal mode frequencies of the coupled oscillator. c) Write down the similarities and differences between a zone plane and convex lens. 1 Obtain equation of motion for given where v=dx/dt is the velocity of the particle.

a) What are generalized co-ordinates? mv² kx² LagrangianL = 2 2 b) Two pendulums of mass 50g each are suspended by massless rigid rods of length 0.98m. The two masses are coupled by a massless spring of force constant k=150 dyne/cm. Determine the normal mode frequencies of the coupled oscillator. c) Write down the similarities and differences between a zone plane and convex lens. 1 Obtain equation of motion for given where v=dx/dt is the velocity of the particle.