mechanical vibrations 1.kmm = 200g, k = 4.44 N/m, v(0) = 0.1 m/s to the right, x(0) = 0.05m to the left of the equilibrium positionа.Derive the particular equation of motion of the mass mb. Solve for the position of the mass att = 0.1s, t = 0.5s and t = 1s%3DDraw a graph of x(t) from t = Os to t = 1.5s, clearly showing the amplitude value, correctС.frequency, and initial conditions.

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Answered: k m g, k 4.44 N/m, v(0) = 0.1 m/s to…

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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An automobile is modeled as shown in Figure below. Derive the equations of motion, build the Simulink diagram, and simudate the system for the given numerical values. F1 and F2 are to be chosen suitably to represent the road conditions. -Mass = M, mass moment of inertia = JG k2 F1 k2 X1 F2 2 11 m2 {k1 k1 JG= 3443.05; k2= 26530; k2= 26530; k1= 190000; k1 = 190000; m1 = 140.14; m2=87.15; M=1795; C1= 1200; c2=1100; l1= 1.32; l2= 1.46; ||
SHOW COMPLETE SOLUTIONS, EQUATIONS, FORMULAS AND WITH DIAGRAMS. WRITE LEGIBLY. I WILL UPVOTE EVERYTHING
B6
The equation of motion of a damped, unforced pendulum is 0 + -0 + sin 0 = 0. The total energy of the pendulum is E = ml²0?/2 + mgl(1 – cos(0)). Suppose a pendulum has m = 2, g = 9.81, l = 3, and coefficient of friction y script program that uses the Modified Euler's method with h the pendulum from a starting position of (0(0), 0(0) = (.97, 0) until the energy falls below 0.01 Joules (use a while loop). Record the steps in matrices Y and T and plot the motion. Turn in your program and plot. 0.5, all in SI units. Write a well-commented 0.01 to simulate the movement of
Matlab code please or just some stepping stones to help.
10
Consider the manipulator provided in the figure. Given the Position vector P w.r.t. to the base frame, derive the Analytical Jacobian for the position. Write your answer as J = [dpx/dq1 dpx/dq2 dpx/dq3; dpy/dq1 dpy/dq2 dpy/dq3; dpz/dq1 dpz/dq2 dpz/dq3] %3D Z3, Z4 Z1, Y, b,s, +b;C;82 -b,c +b3S152 -b;C2 X4 YA #3 b2 b3 O2, 02 P = #2 Z, Y3 #0
• View Available Hint(s) Learning Goal: To set up and analyze equations of motion in a cylindrical coordinate system. A = 4.30 rad/s Submit Previous Answers The mechanism shown in the figure below rotates about the vertical axis. The collar has mass an unstretched length of 1000 mm and the spring constant is k = 220 N/m. The distance d= 385 mm , and the collar is required to stay a fixed distancer = 1320 mm from the vertical axis.(Figure 1) = 3.25 kg. The spring has v Correct Part B- The minimum required angular velocity when there is friction Consider the same mechanism again, with m = 3.25 kg, d = 385 mm, k = 220 N/m, only now, instead of being smooth, the collar and shaft have a maxirmurm coefficient of friction of p. = 1.36. What is the minimum angular velocity required to keep the collar at a constant distance r= 1320 mm from the axis of rotation? Express your answer to three significant figures. Figure 1 of 1> • View Available Hint(s) η ΑΣφ It vec rad/s Submit d Part C Complete…
ms mp mL A small frog of mass me clings to the left end of a uniform pole of mass mp and length L, and a large frog of mass my clings to the right end of the pole as shown in this top-down view. The system is rotating about its center of mass. The large frog is moving with tangential speed UL. Treat the frogs as point masses. Show all work and solve in terms of given variables. A. Find the center of mass of the system measured from the right end of the pole. B. What is the magnitude of the angular velocity of the system?
1. The figure below shows a one-dimensional, horizontal beam of uniform-density in static equilibrium. The beam is supported by a frictionless support at a point 1/3 of the way down its length (L). A rope running through a frictionless pulley is attached to the far end of the beam. The mass of the beam per-unit-meter (m) is known, and the magnitude of the acceleration due to gravity is g. y | 9 13 a) What is the total force due to the weight of the beam and where does it act? b) Draw the free body diagram (FBD) of this beam. c) Derive expressions for the vertical reaction force at the support (R) and the force applied to the end of the rope (F). Your expressions should be in terms of L, m,, and g; that is, you should find Ry = f(L, mr, g) and F = f(L, mz.g).
2- Derive the rule-of-mixtures expression for the composite extensional modulus E₁ assuming the existence of an interphase region. The starting point for the derivation would be the model shown below. For simplicity, assume the interphase, like the matrix, is isotropic with modulus E¹. With an interphase region there is a volume fraction associated with the interphase (i.e.,V;). For this situation: vf + vm + vi = 1 H |w²||wm|

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