3. A spring-mass system consists of a 5 kg object attached to a spring. The initial stretch of the spring when attaching theobject is 9.8 cm. At time t = 0 an applied force, F(t) = 20 cos(8t), measured in newtons and positive in the downwarddirection, disturbs the object from rest. Assume there is no damping present in the system.(a) Determine the spring constant, k.(b) Determine the IVP for y(t), where y(t) is the position of the object measured positive in the downward direction.(c) Solve the IVP.

Given,Mass = 5 kgDisplacement, y = 0.098 mForce, F = 20 cos(8t)(a) The spring constant k,For initial…

Answered: 3. A spring-mass system consists of a 5…

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