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Applications of higher order differential equations A spring has one of its ends fixed, and a...

Applications of higher order differential equations

A spring has one of its ends fixed, and a force of 15 N stretches it 20cm. A mass of 4 Kg is attached to the end of the spring, and the system is set in motion with initial position = 60 cm and initial velocity = 1.5 m/s.

(a) Find the spring constant. 
(b) Write a problem of initial conditions for spring stretching, in meters. 
(c) Solve the problem posed in (b). 
(d) Write the solution in the form x = rsen(ωt + θ). 
(e) What are the amplitude, frequency and period of movement?
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