2) A single degree of freedom mechanical system is provided in the figure, with coordinate markings. Note that all the cables are inflexible, and I, stands for the total inertia of the concentric pulleys. y m 2m lllll 3r 2k k mom 4X ||| equivalent system: keq meq Ceq x 26 b) Express the coordinates y and 0 as a function of the generalized coordinate, x. d) Following an energy equivalence approach, and using the coordinate transformations obtained in part (a), determine the equivalent mass, the equivalent spring stiffness, and the equivalent damping coefficient. e) Express the equation of motion of the system, using x, the downward displacement of the block (2m) from the system's equilibrium position as the generalized coordinate. (Use symbolic expressions and show your work, do NOT generate the response).

2) A single degree of freedom mechanical system is provided in the figure, with coordinate markings. Note that all the cables are inflexible, and I, stands for the total inertia of the concentric pulleys. y m 2m lllll 3r 2k k mom 4X ||| equivalent system: keq meq Ceq x 26 b) Express the coordinates y and 0 as a function of the generalized coordinate, x. d) Following an energy equivalence approach, and using the coordinate transformations obtained in part (a), determine the equivalent mass, the equivalent spring stiffness, and the equivalent damping coefficient. e) Express the equation of motion of the system, using x, the downward displacement of the block (2m) from the system's equilibrium position as the generalized coordinate. (Use symbolic expressions and show your work, do NOT generate the response).

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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