[Solved] A5 kg mass is attached to a spring and hung from a beam as shown in figure at right. A force of 18.85 N stretches the spring 2.9 m

A5 kg mass is attached to a spring and hung from a beam as shown in figure at right. A force of 18.85 N stretches the spring 2.9 m. The spring’s damping exerts a force of 28.75 N when the mass is moving with a velocity of 2.5 m/s.

a. Use the given information to write a differential equation for this spring mass system (Note: Although there are multiple equivalent equations, you have to write one in which the coefficients represent the physical quantities in this system). Spring Equilibrium Position 0 y mass

b. Write down the general solution to the above differential equation. Use c1 and c2 for C1 and ca, the unknown constants. (m) g(t) =

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Answer to A5 kg mass is attached to a spring and hung from a beam as shown in figure at right. A force of 18.85 N stretches the spring 2.9 m…..