#3 vibrationComplete solution and correct units please. Thanks d, Figure P1 below shows a block of mass m that is attached to two idealsprings and viscous damper. If x = 0 and V = 5 m/s when t = 0, derive the equation of motion forthe block a) for a damping factor of 1.75, b) for a damping factor of 1.0, and c) for a dampingfactor of 0.50. Assuming that x is measured from the position where the springs areundeformed, and use m = 0.4 kg, k, = 25 N/m, and k = 35 N/m.PI

Answered: Image /qna-images/answer/115f3a68-7377-47dd-8c44-750ffd2c1d01.jpg

D. Figure P1 below shows a block of massm that is attached to two ideal orings and viscous damper. If x = 0 and V = 5 m/s when t= 0, derive the equation of motion for e block a) for a damping factor of 1.75, b) for a damping factor of 1.0, and c) for a damping ctor of 0.50. Assuming that x is measured from the position where the springs are ndeformed, and use m - 0.4 kg, k, = 25 N/m, and ka = 35 Nim.

D. Figure P1 below shows a block of massm that is attached to two ideal orings and viscous damper. If x = 0 and V = 5 m/s when t= 0, derive the equation of motion for e block a) for a damping factor of 1.75, b) for a damping factor of 1.0, and c) for a damping ctor of 0.50. Assuming that x is measured from the position where the springs are ndeformed, and use m - 0.4 kg, k, = 25 N/m, and ka = 35 Nim.

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

For the system shown in figure below, derive the differential equation of motion for small oscillation. If m1=m2=1 kg, k1=k2=1000 N/m, c1=c2=10N·s/m, a=b=0.5 m, and l=1 m ﬁnd the solution after 1 s provided that the initial angular displacement is zero and the initial angular velocity is 5 rad/s. Assume that the rod is massless.
In the system in the figure, the static equilibrium position of the thin, slender homogeneous rod of mass m and length L is horizontal.During the movement of the system, the bar is separated from the horizontal by small angles. (A makes oscillating motion with small angles relative to the simple support point)a) Find the equation of motion of the system in terms of the given parameters.b) Since M=4 kg, m=1 kg, L=1 m, k=600 N/m, c=200 Ns/m, F=300 N, w=4 rad/s, is there resonance in the system? If there is resonance, what would you recommend to get rid of resonance?
Figure Q3(b) shows a uniform bar AB of mass = 8 kg hinged at point C.Point A is connected to a spring to maintain the bar in vertical direction, and the stiffness k = 500 N/m. If point A is displaced counter-clockwise by a small angle θ = 3.5 degree and released, With the free body diagram and kinetic diagram, determine the initialhorizontal displacement of A. Then determine the period of vibration, the maximum velocity and acceleration at point A.
Figure Q3(b) shows a uniform bar AB of mass = 8 kg hinged at point C.Point A is connected to a spring to maintain the bar in vertical direction, and the stiffness k = 500 N/m. If point A is displaced counter-clockwise by a small angle θ = 3.5 degree and released, With the free body diagram and kinetic diagram, determine the initialhorizontal displacement of A. Then determine the period of vibration, the maximum velocity and acceleration at point A. p.s. This question was previously answered but because the solution images were unable to view I need to re-ask this question
Figure Q3(b) shows a uniform bar AB of mass = 8 kg hinged at point C.Point A is connected to a spring to maintain the bar in vertical direction, and thestiffness k = 500 N/m. If point A is displaced counter-clockwise by a small angleθ = 3.5 degree and released,(i) With the free body diagram and kinetic diagram, determine the initialhorizontal displacement of A. (ii) Determine the period of vibration. (iii) Determine the maximum velocity and acceleration at point A.
The springs in the system as shown in Figure Q4 are all identical, with stiffness k of 1000 kN/m , slender rod mass m of 25 kg and damper cd of 1500 Ns/m. For the given instance, the slender rod is having a small deflection. Determine a. the amplitude accelaration at point D b. the logarithmic decrement of the system after 5 cycles
The nat. period of an undamped system is 3 s, but with a damping force that is proportional to the velcoity, the period becomes 5 s. Find the differential equation of motion of the system and its solution.
Between a solid mass of 10 kg and floor, two slab of isolator, natural rubber and feltare kept in series as shown in Figure Q1(b). The natural rubber slab has a stiffnessof 3000 N/m and an equivalent viscous damping coefficient of 110 Ns/m. The feltslab has a stiffness of 12,200 N/m and an equivalent viscous damping coefficient of170 Ns/m. (i) Sketch the single degree of freedom spring-mass-damper system(ii) Determine the undamped and damped natural frequencies of the system inthe vertical direction. Neglect the mass of the isolator
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).
sum - 1 : determine magnification factor of forced vibration produced by oscillator fixed at middle of the beam at a speed of 600 rpm. The weight concentrated at the middle of the beam is 5000 N and produces statically deflection of the beam equal to 0.025 cm. Neglect the weight of the beam and damping is proportional to velocity of 2.5 cm/sec and force = 500 N sum - 2 : An automobile whose weight is 150 N and it is mounted on 4 identical springs due to its weight it sags by 250 mm . each shock absorber has damping coefficient of 0.4 N for a velocity oof 30 mm/sec. The car is placed on a platform which moves vertically at resonance speed having an amplitude of 10mm. Find the amplitude of the car Sum - 3: A SDOF has undamped natural frequency of 7 rad/sec. and a damping factor of 10%. The initial conditions are x0 = 0 and V0 = 0.5 m/sec. Find damped frequency and equation of motion of the system Sum- 4; A SDOF system with a mass 25 kg and stiffness 10 N/mm with damping 0.15 Ns/m…
A 0.600kg mass oscillates at the end of spring that has a spring constant of 300N/m. the initial amplitude is 0.500m . the damping force is proportional to the velocity, -av. If the amplitude decreases from .50m to 350m in 2.50s . What is the damping constant ?Is the system underdamped, critically damped or overdamped?
Consider a spring-mass system with mass equal to 1 kg, spring constant equal to 25 Newton/meter.Which damping constant b causes critical damping?If the damping constant b in the above system is set to 3 N ∙ sec/m, then what can be said about the number of timesdoes the object pass through its equilibrium position?If the damping constant b in the above system is set to 8 N ∙ sec/m, then what is the interval of time between thesecond time the object returns to its equilibrium position and the third time it returns to its equilibrium position?