Additional information: Assume the system starts from rest and that the spring i

Question

Additional information: Assume the system starts from rest and that the spring is at its rest length. Assume the system is back to the original firing position when the displacement is less than 4.35×10-6 m. Submit all Matlab code you used and any plots generated. Hints: If you are having trouble visualizing the motion, try plotting the response. The Mathematica function NSolve may be useful. Answers: underdamped 14.7 s, critically damped 3.87 s, overdamped 6.77 s

A tank (Figure P.11) with mass m_1=2,000 kg fires a cannon with mass m_2=2 kg and velocity=10m/sec. the recoil mechanism consists of a spring with stiffness=11,000 N/m, and a damper. There are three possible values of the damping coefficient: 0.2c_c, c_c, and 1.5c_c where c_c is the critical damping. For each value of the damping constant, determine the time required to come back to the original firing position. validate your analytical results via comparison with results from numerical inte- gration of the solution of the differential equation via MATLAB.

Explanation / Answer

For Damping Coefficient 0.2Cc time required to come back to the origional firing position = 14.7 s,

For Damping Coefficient Cc time required to come back to the origional firing position = 3.87 s,

For Damping Coefficient 1.5Cc time required to come back to the origional firing position = 6.77 s

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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