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two springs and two masses are attached in a straight line on a horizontal frictionless surface. the system is set in motion by given external force f(t) acting on the right hand mass m2. we denoted by x(t)the displacement(to the right) of mass m1 from static equilibrium position, and by y(t) the displacement of the mass m1 from static its equilibrium position. the two springs are neither stretched nor compressed when x(t) and y(t) are zero.
a) find the equation of the system
b)determine the two normal frequencies for the system.

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