Q3: Draw the free-body diagram and derive the equationof motion (EOM) using:(1) Newton's 2nd law(2) Energy method for the systems.(3) Find the natural frequency.m4r1447x(t)k00000-Pulley, massmoment ofinertia Jo

Step 1: Step 2: Step 3: Step 4:

Answered: Q3: Draw the free-body diagram and…

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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1. Draw the free-body diagram of the systmes depicted below and derive the differential equation describing the equation of motion (EOM) for each system. X (a) m - 3 kg k = 10 N m k₁ = N 3 kg m = www k₂ = 2 N m z (t) (b) (c) 1 = 7 m m = = 2 kg
Find the equation of motion using the Lagrangian method?
Write down, natural frequency, the equation of motion and the solution (in terms of initial conditions) for the systems below:
* Find the equations of motion of the systems if you know: =mở tan6 5 =- In(ø) 16 R= Q = 0
Consider the double mass/double spring system shown below. - click to expand. Both springs have spring constants k, and both masses have mass m; each spring is subject to a damping force of Ffriction -cz' (friction proportional to velocity). We can write the resulting system of second-order DEs as a first-order system, t' (t) = Au(t), with = (₁, 21, 22, 2₂) I For values of k = 4, m = 1 and c = 1, the resulting eigenvalues and eigenvectors of A are -0.039-0.248i 0.813 A₁2=-0.5±3.2i, v₁ = 0.024 +0.153i -0.502 -0.134-0.302i 0.409 -0.2160.489 0.661 (a) Find a set of initial displacements (0), 2(0) that will lead to the fast mode of oscillation for this sytem. Assume that the initial velocities wil be zero. A3,4 -0.5± 1.13i, z = and (2₁ (0), ₂(0)) = Enter your answer using angle braces, (and). (b) At what frequency will the masses be oscillating in this mode? Frequency rad/s
Pls see the question in the attcahed image and solve using either Newton’s method or Lagrange Energy method .
pls answer question a and b sir pls use this matrix num sir (ad 200153) subject (vibration)
For the system below, the mass, m is attached to the end of a cantilever beam of length, l, elasticity, E, and moment of inertia, I. Derive the equation of motions and find the natural frequencies in two cases by lagrange energy method a) k1=k2=0 b) k1≠k2≠0
Topic mechanics of machines, chapter harmonic motion.pls give clear explanation by step by step.dont type pls write.aprrectiate your help.will be really helpful.
PROBLEM1: Determine the equation of motion of the following systems: 1080 al*k www 0.51 ghiv Vin & Mass Less, Rigid L J Figure 2-Problem 1-2 a3*m
See the attached image. Please provide the solution modeled as a differential equation. Include an equation of motion of the mass for both no damping force and a damping resistance equal to half the velocity (please notate and show how to identify the velocity) with detailed steps and explanation of the solution.
F(1) Spring m. Ball Dashpot Find the motion of the mass-spring system with the driving force F(t) shown above for the given data. [Hint: Read Forced Oscillations notes.] e-2t, 0 2 y(0) = 1, y'(0) =-1.5.

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Q3: Draw the free-body diagram and derive the equation of motion (EOM) using: (1) Newton's 2nd law (2) Energy method for the systems. (3) Find the natural frequency. m 4r 1447 x(t) k 00000 -Pulley, mass moment of inertia Jo