A -kg mass is attached to a spring with stiffness 4 N/m. The damping constant for the system is 2 N-sec/m.The mass is displaced m to the left and given an initial velocity of 2 m/s to the right.(a) Determine the equation of the motion of mass and express it in the form Aet sin(3t + 6) by finding theconstants A, a, 3 and o in radians.(b) Find the time t when the mass crosses the equilibrium position for the first time.(c) Find the maximum displacement of the mass to the right.

The damping force is proportional to the velocity of the oscillator. And given the damping constant…

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