Find the equation of motion for the system of Figure P1.6, and find the natural frequency.In particular, using static equilibrium along with Newton's law, determine what effectgravity has on the equation of motion and the system's natural frequency. Assume theblock slides without friction.00x(t)mFrictionlessAsurface

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Answered: Find the equation of motion for the…

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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A spring is stretched 30cm by a mass of 2kg, and the mass is attached to a viscous damper that exerts a force of 6N when the velocity of the mass is 2m/s. a.) Find the differential equation that characterizes u(t), the displacement of the mass from equilibrium t, when it is set in motion. Specify the units that you are using and show find the parameters in the equation. You do not need to solve the equation here. how you b.) Find a fundamental pair of solutions for the equation you found in part a. c.) The mass is pulled down 40cm from the equilibrium and then thrust downwards with an initial speed of 2m/s. Find u(t).

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