Question

6.3 Finding mass, damping, and spring constants to meet design specifications. One task an engineer performs is sizing springs, dampers, ete., to meet design specifications. Knowing the ODE governing the downward deflection vlt) for the spring scale show to the right is determine numerical values for mrum, 401, and keq so the: = gequilibrium-2 cm when tn = 10 kg a. Scale settles to b. Scale settles to 1% of its final value within tsettling-2 seconds c. Maxínurn overshoot of y(t) from its final value is M,-50% Before determining msum , beq, and keq , clarify design intent by using just specifications a, b, c, to make a rough sketch of yit) for 0 s t S 2s. Clearly identify Vequilibriums fettling, and Mp on the graph. Use y(0)-0 and (0)0 frigum Resuiti 32 90 kg 197.57 0

Answer 1

Date 2 be ん-