A simple pendulum of mass m is piv- oted to the block of mass M, which slides on a smooth horizontal plane. O The mass M is connected to a spring of stiffness k, and the reference of poten- tial energy is at the smooth horizontal plane. M ee 1. Find the velocity of mass m, w.r.t the origin O 2. Write the Lagrangian of the system 3. Derive the Euler Lagrange equations

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