A rigid bar with mass, M as shown in Figure 1 is pivoted at point 0, and has a point mass m attached at the location indicate. The bar is restrained by the springs and dashpot. The mechanism lies in a horizontal plane, so you can ignore the gravity. a) Derive the equation of motion for the system in Figure 1. b) Determine the natural frequency in term k, M, m and I. c) Given k= 1200 N/m, c 60 N-s/m, M 5 kg, m= 3 kg and /-1 m, determine the response of the system if 0(0) – 0.1 rad and Ô(0) = 0 rad/s. %3D d) Modify the system to avoid from oscillates under initial disturbance. 2k 7TTTT Figure 1 ww E-IN 514 5/4

A rigid bar with mass, M as shown in Figure 1 is pivoted at point 0, and has a point mass m attached at the location indicate. The bar is restrained by the springs and dashpot. The mechanism lies in a horizontal plane, so you can ignore the gravity. a) Derive the equation of motion for the system in Figure 1. b) Determine the natural frequency in term k, M, m and I. c) Given k= 1200 N/m, c 60 N-s/m, M 5 kg, m= 3 kg and /-1 m, determine the response of the system if 0(0) – 0.1 rad and Ô(0) = 0 rad/s. %3D d) Modify the system to avoid from oscillates under initial disturbance. 2k 7TTTT Figure 1 ww E-IN 514 5/4

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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