use this matrix num sir (ad 200107) (b) Between a solid mass of 1P kg and floor, two slab of isolator, natural rubber and feltare kept in series as shown in Figure Ql(b). The natural rubber slab has a stiffnessof 3Q00 N/m and an equivalent viscous damping coefficient of 11R Ns/m. The feltslab has a stiffness of 12,S00 N/m and an equivalent viscous damping coefficient of1TO Ns/m.(i)Sketch the single degree of freedom spring-mass-damper system(1i)Determine the undamped and damped natural frequencies of the system inthe vertical direction. Neglect the mass of the isolatorNote Q1(b): The values of P, Q. R, S, and T depend on the respective 2nd 3rd, 4hsh, and 6h digits of your matric number as in the following number format: ADXPQRST. For example, if your matric number is AD 170154 gives the value P = 7,Q = 0, R = 1, S = 5, and T = 4, thus the solid mass is 17 kg, rubber slab stiffness is3000 N/m, rubber slab viscous damping coefficient is 111 Ns/m, felt slab stiffnessis 12,500 N/m and felt slab viscous damping coefficient is 140 Ns/m. m = 1P kgrubberfeltFigure Q1(b)

Given that, Matrix number format=AD 200107≡xPQRSTP=0, Q=0, R=1, S=0, T=7,Mass of solid mass, m=1P=10…

(b) Between a solid mass of 1P kg and floor, two slab of isolator, natural rubber and felt are kept in series as shown in Figure Q1(b). The natural rubber slab has a stiffness of 3Q00 N/m and an equivalent viscous damping coefficient of 11R Ns/m. The felt slab has a stiffness of 12,S00 N/m and an equivalent viscous damping coefficient of 1ΤΟ Ns/m.

(b) Between a solid mass of 1P kg and floor, two slab of isolator, natural rubber and felt are kept in series as shown in Figure Q1(b). The natural rubber slab has a stiffness of 3Q00 N/m and an equivalent viscous damping coefficient of 11R Ns/m. The felt slab has a stiffness of 12,S00 N/m and an equivalent viscous damping coefficient of 1ΤΟ Ns/m.

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

See similar textbooks

Similar questions

Figure 1 shows a system comprising a bar with mass m-12 kg and the length of the bar L=2 m, two springs with stiffness kt=1000 N-m/rad and k = 2000 N/m, one damper with damping coefficient c=50 N-s/m and two additive masses at the end of the bar, where each mass (M) is equal to 50 kg. The rotation about the hinge A, measured with respect to the static equilibrium position of the system is 0 (t). The system is excited by force (F) so find the state space representation of the system if the output y=ġ(t).
A washing machine with a mass of 60 kg and a drum radius of 15 cm, rotates at 1000 rpm and washes 3 kg of unbalanced laundry. a) How much dynamic force would be transmitted to the ground if no vibration isolation was taken from the machine?b) What would be the stiffness (k) of the visco-elastic floor if an insulation measure with a damping ratio of 0.1 was taken, which would reduce the force transmitted to the floor by 90%?
An underdamped shock absorber is to be designed for a motorcycle of mass 200 kg (Fig. 2.30(a)). When the shock absorber is subjected to an initial vertical velocity due to a road bump, the resulting displacement-time curve is to be as indicated in Fig. 2.30(b). Find the necessary stiffness and damping constants of the shock absorber if the damped period of vibration is to be 2s and the amplitude x1 is to be reduced to one-fourth in one half cycle. Also find the minimum initial velocity that leads to a maximum displacement of 250 mm.
In a spring-mass system, the mass is m and the spring constant is k. The critical damping coefficient of the system is 0.1 kg/s. In another spring-mass system, the mass is 2m, and the spring constant 8k. What is The critical damping coefficient (in kg/s) of this system .
The door of a house has a height of 2 m, the width of 1 m, the thickness of 50 mm and mass of 50 kg. The door opens against a torsion spring and a viscous damper as shown in the figure. If the spring constant of the torsion spring is kq = 15 N-m/rad, find the damping constant necessary to provide critical damping in the return swing of the door.?
A washing machine has 60 kg mass, and 15 cm tub radius. Machine dries the unbalanced3 kg laundry by rotating with 1000 rpm.a) What would be the dynamic force transmitted to the foundation if there is no vibrationisolation for the machine?b) An isolation with damping ratio 0.1 is applied to the machine. In this case, if thetransmitted force is decreased by 90 % what would be the natural frequency of the machine?c) In this case, what would be the vibration amplitude of the machine?
A machine is represented as a single degree of freedom spring-mass-damper system. The machine has a total mass of (100 +01) kg, an out-of-balance mass 0.125 kg, eccentricity of 0.01 m, coefficient of damping (100 + 01) N/ (m/sec), and spring stiffness (1000 + 01) N/m. The rotational speed of the machine is3000 rpm. Determine the maximum amplitude of vibration due to out-of-balance. Suggest a method for the control of vibration caused due to out-of-balance.
A spring-mass-damper system has mass of 80 kg, stiffness of 2500 N/m, and damping coefficient of 250 kg/s Calculate the undamped natural frequency, the damping ratio, and the damped natural frequency Does the solution osciliate?
An electric motor of mass 500 kg is placed on springs with statical displacement of 0.6 cm. The rotating unbalance of the machine is 0.3 kg.m. (a) The vibration response of the electric motor, (b) The transmitted force to the floor at 1400 rpm, and the transmissibility
The structure shown in figure has a mass of 100 kg and a translational stiffness of 40,000 N/m. It is excited by a harmonic force having an amplitude Po = 500 N and an excitation frequency ω = 15 rad/s. The damping factor for the structure is ξ = 0.1. The initial conditions are u(0) = 6 cm and ώ(0) = 0. For the steady-state vibration determine: (a) The amplitude of the stady-state displacement. (b) Its phase with respect to the exciting force. (c) The maximum velocity and acceleration of the response. (d) Determine the equation that describes the total displaement of the structure as a function of time.
The spring constant of one car's spring is 24 kN / m and one tire has a mass of 370 kg. The relative damping factor is 0.35. The unevenness of the road causes a force on the wheel at a frequency of 0.74 Hz and the amplitude describing the unevenness of the road is 22 mm. What is the vibration amplitude of the car body in whole millimeters? For damping vibration
A coil spring suspension is designed as a suspension for a mega truck that will be released in the future with a viscous damper. a.) What is the bumper's damping coefficient such that the system has a damping ratio of 1.25 when the bumper is engaged by a 20 tons railroad car and has a stiffness of 2 x 10^5 N/m? b.) Another load for the truck has been installed that has a mass of only 4500 kg. What are the natural frequency and a damping ratio of a system with the coil spring suspension when the load is being applied?