(m)xThe given figure shows the response of a system to a step input of magnitude 1000 N. The equation of motion ismxcxkx = f (t)Estimate the values of m, c, and k.0.040.0360.0320.0280.0240.020.0160.0120.0080.00400 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1Time (s)1.1 1.2 1.3 1.4The damping ratio is determined to beThe natural frequency is determined to berad/s.The value of k is determined to beN/m.The value of m is determined to beThe value of c is determined to be [kg.N-s/m.

From the given graph, the steady state response of the system is at,xss = 0.025 m (approximately)The…

x (m) The given figure shows the response of a system to a step input of magnitude 1000 N. The equation of motion is mä + cx+kx = f (t) Estimate the values of m, c, and k. 0.04 0.036 0.032 0.028 0.024 0.02 0.016 0.012 0.008 0.004 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 Time (s) The damping ratio is determined to be [ The natural frequency is determined to be rad/s. N/m. The value of k is determined to be The value of m is determined to be kg. The value of c is determined to be N-s/m.

x (m) The given figure shows the response of a system to a step input of magnitude 1000 N. The equation of motion is mä + cx+kx = f (t) Estimate the values of m, c, and k. 0.04 0.036 0.032 0.028 0.024 0.02 0.016 0.012 0.008 0.004 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 Time (s) The damping ratio is determined to be [ The natural frequency is determined to be rad/s. N/m. The value of k is determined to be The value of m is determined to be kg. The value of c is determined to be N-s/m.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics

Section: Chapter Questions

Problem 7.2P

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