Q5: Find the equation ofmotion, natural frequency @critical damping coefficient C.,damping ratio , logarithmicdecrement &, and dampedfrequency @ for the systemshown in Fig. (5).Figure (5)ITTEXm=10kgC =500 N.s/mK-1000 N/mwwwwwPulley. Jo-1 kg.m²

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Answered: Q5: Find the equation of motion,…

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 force of 20 newton stretches a spring 1 meter. A 5 kg mass is attached to the spring, and the system is then immersed in a medium that offers a damping force numerically equal to 10 times the instantaneous velocity. 1) Let x denote the downward displacement of the mass from its equilibrium position. [Note that x>0 when the mass is below the equilibrium position. ] Assume the mass is initially released from rest from a point 3 meters above the equilibrium position. Write the differential equation and the initial conditions for the function x(t) 2) Solve the initial value problem that you wrote above. 3)Find the exact time at which the mass passes through the equilibrium position for the first time heading downward. (Do not approximate.) 4)Find the exact time at which the mass reaches the lowest position. The "lowest position" means the largest value of x
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A mass of 10kg oscillates at the end of a spring of stiffness, 5N/m. If the damping in the system is such that it gives a damping ratio of 0.45, determine. i) The critical damping. ii) The value of the damping coefficient. iii) The damped natural frequency. iv) The equation for the displacement if the initial velocity is 0.025m/s, and the initial displacement is 0 m.
MA Figure (2) 3- The time response of a liner spring-mass-damper system with the mass of (m), the stiffness coefficient of (k), and a dampirg constant of (c) is given below in figure (2) with a set of coordinates marked by fillec circles. x(t) is in meters, it is in seconds. Indicate the units of all quantities involved in your solutions when calculate 0 -1- (0.53, 1.78) (0,0.8) 2 (2.1,-1.3) (3.7,0.9) L 4 (5.3,-0.7) - The damping ratio of the system. Its natural frequency w., damping corstart c, and stiffness coefficient k; for (m-1.25 kg). III- The amplitude of the motion if the phase angle is given as (0.4 rad). IV. Its initial conditions. (6.86, 0.5) 10 t[sec]
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Vibrations Engineering: Mass = 10 kilogramsSpring constant = 400 Newtons per meterPeriodic Force = 6 KilonewtonsForcing Frequency = 5 radians per secondDamping coefficient = 200 Newton second per meter Calculate: (Express the final answer in 4 significant digits) -the critical damping in Newton second per meter -the damping factor
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What is the minimum dampening ratio for an underdamped system such that its overshoot is limited to 10%? This image is my scratch work based of an in-class problem. I'm unsure of the steps and the final equation for Zeta. It also puts out a different number that my professor wrote…

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Q5: Find the equation of motion, natural frequency @² critical damping coefficient Ce damping ratio 5, logarithmic decrement &, and damped frequency @ for the system shown in Fig. (5). m-10kg K-1000 N/m wwwwwww Pulley. Jo-1 kg.m² C=500 N.s/m