The characteristic equation of a mass, spring, and damper system shown in Fig. P2.30 is given by ms² +cs+k = 0. (2.73) (a) If m = 1 kg, c = 3 Ns/m, and k = 2 N/m, solve the quadratic equation (2.73) for the values of s using the methods of completing the square and the quadratic formula. (b) Repeat part (a) if m = 1 kg, c = 2 Ns/m, and k = 1 N/m.

The characteristic equation of a mass, spring, and damper system shown in Fig. P2.30 is given by ms² +cs+k = 0. (2.73) (a) If m = 1 kg, c = 3 Ns/m, and k = 2 N/m, solve the quadratic equation (2.73) for the values of s using the methods of completing the square and the quadratic formula. (b) Repeat part (a) if m = 1 kg, c = 2 Ns/m, and k = 1 N/m.

Name: x (displacement)- f(force)Figure P2.30 Mass, spring, and damper syste
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Description: x (displacement)- f(force)Figure P2.30 Mass, spring, and damper system forproblem P2-30. The characteristic equation of a mass,spring, and damper system shown in Fig.P2.30 is given byms² +cs + k = 0.(2.73)(a) If m = 1 kg, c = 3 Ns/m, and k = 2N/m, s

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter16: Oscillations

Section: Chapter Questions

Problem 59PQ: Table P16.59 gives the position of a block connected to a horizontal spring at several times. Sketch...

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