Consider a two-degrees-of-treedom system shown belowWhat is the amplitude of vibration of mass 2 at the input frequency? (Thi is just ancther way of asking ampitude of the particular solution. The anowermust be positive. Use scientific notation with 3 significant figures. Omit unitsUsemt -3 kgm2 -1 kgk1- 112 N/m- 148 N/mK3 = 155 N/mF1 = 349 cos(o.90 NF2 =0.

A system with two degrees of freedom requires two coordinates to fully express its equation of…

Consider a two-degrees-of-treedom system shown below What is the amplitude of vibration of mass 2 at the input frequency? (This is junt another way of asking ampitute of the particular soluton. The anewer must be positive. Use scientfic notation with 3 sianificant foures. Omit units Use m1 -3 kg m2 - 1 kg kt- 112 N/m ka- 148 N/m k3- 155 N/m F1 = 349 coso.90)N F2 0.

Consider a two-degrees-of-treedom system shown below What is the amplitude of vibration of mass 2 at the input frequency? (This is junt another way of asking ampitute of the particular soluton. The anewer must be positive. Use scientfic notation with 3 sianificant foures. Omit units Use m1 -3 kg m2 - 1 kg kt- 112 N/m ka- 148 N/m k3- 155 N/m F1 = 349 coso.90)N F2 0.

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 single degree of freedom mass-spring-damper system is subject to vibration under the influence of a harmonic force. On my site, it is given as m=2 kg, k=800 N/m, c=64 Ns/m. The amplitude of the harmonic force is F0=256 N and its frequency is w= 20 rad/s. Answer the questions in options a, b, and c according to the given information. 1) Calculate the damping ratio of the system (ξ) a.1 b.0.7 c.0.9 d.0.8 2)Calculate the magnification factor (M) of the system. a.0.86 b.1.25 c.0.312 D.0.625 3-) Calculate the maximum vibration amplitude (X) (meters). a.0.2 b.0.1 c.0.4 D.0.3
QUESTION 2 Consider a two-degrees-of-freedom system shown below. k₁ woo kz oooo kz oooo m2 F2 What is the amplitude of vibration of mass 1 oscillating at the input frequency? (This is just another way of asking for the amplitude of the particular solution). The answer must be positive. Use scientific notation with 3 significant figures. Omit units. Use m1 = 1 kg m2 = 1 kg k1 = 127 N/m k2 = 106 N/m k3 = 169 N/m F1 230 cos(1.7t) N F2 = 0.
Vibrations Engineering: Mass = 10 kilogramsSpring constant = 400 Newtons per meterPeriodic Force = 6 NewtonsForcing Frequency = 5 radians per secondInitial Displacement = 80 millimetersInitial Velocity = 2 meters per second Calculate: (Express the final answer in 4 significant digits) -the constant B (in millimeters) for the complementary solution -the magnification factor of the vibration -the constant A (in millimeters) for the complementary solution
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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).
1- I need answer of all sub-parts questions. Thanks The figure shows a simple model of a motor vehicle that can vibrate in the vertical direction while traveling over a rough road. The road surface varies sinusoidally with an amplitude of 0.01 m and a wavelength of 6 m. The vehicle has a mass of 1007 kg. The suspension system has a total spring constant of 40 kN/m and a damping coefficient of 20 kN.s/m. The vehicle average speed is v = 100 km/hr. The objective is to determine the vehicle steady-state displacement amplitude as well as the respective transmitted force. Calculate the forcing frequency of the pumpy road. Calculate the natural frequency of the vehicle SDOF system. Calculate the damping ratio of the vehicle SDOF.