A critically damped system consists of a spring of stiffness 250 N/m constrainin

Question

A critically damped system consists of a spring of stiffness 250 N/m constraining the
motion of a mass of 2 kg. The mass is given an initial displacement of 100 mm and an
initial velocity of 5 m/s in the direction opposite to the displacement. Find the expression for the displacement of the mass as a function of time and determine the time and value of the displacement at maximum overshoot. Create a professional quality (i.e., computer generated) plot to illustrate the function and confirm the analytical calculation for max overshoot. ( show work)

Explanation / Answer

w= sqrt(k/m) w=11.18 x=100mmcos(wt) damping coefficient= 1 so overshoot= 0

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.