Question 2. In the experimental vibration system shown below, the point A is given a sinusoidal...
Question 2 In the experimental vibration system shown below, the point A is given a sinusoidal motion of amplitude 6 mm at a of stiffness 80 N/m, and its motion is opposed by a dashpot giving a viscous resistance of 5 N per m/s. Find the amplitude of motion at B, the maximum force in the spring, and the work done per cycle by the driving force at A frequency of 2 Hz. The mass of 1 kg at B...
QUESTION 4 (140 marks) Determine the damped frequency of the spring-mass system schematically illustrated below if the spring stiffness is 3000 N/m and the damping coefficient c is set at 320 Ns/m. If a periodic 260 N force is applied to the mass at a frequency of 2 Hz, determine the amplitude of the forced vibration. Spring Viscous damper 35 kg Figure 4
فب this is an intro to mechanical ViBRATION Problem, I know the solution to this problem using matrixes, but this problems weights 6 pts out of the 100 overall course grade I want a 100% full correction to this problem, I saw a solution on this problem on previous post but its not full and contain errors Consider a mass m linked to a support P by a spring of stiffness k and a viscous friction damper with coefficient a.....
(Unless otherwise instructed, assume that the damping is light to moderate so that the amplitude of the forced response is a maximum at a / 1.) The seismic instrument shown is attached to a structure which has a horizontal harmonic vibration at 3 Hz. The instrument has a mass m = 0.5 kg, a spring stiffness k = 10 N/m, and a viscous damping coefficient c = 2 N.s/m. If the maximum recorded value of x in its steady-state motion...
Question (b) Ans : root(7/2) , 16/((5)^(1/2)) 9. Consider a mass-spring system as shown in the figure with a body of mass m, a spring and a dashpot. Let k, c and r(t) be the spring constant, the damping constant and driving force, respectively Let y(t) be the displacementMass of the body from the equilibrium with downward direction as positive. b) [7pts] Let m=1, c=1, k=4, and r(t) 8cosut. Determine w such that you get the steady-state vibration of maximum...
arthe. ndr Problem 1: ur A free vibration of the mechanical system shown in the figure (a) indicates that the amplitude of vibration decreases to 25% of the value at t = to after four consecutive cycles of motion, as the figure (b) shows. Determine the viscous-friction coefficient b of the system if m = 1 kg and k= 500 N/m. x0.25 b K vad /s (a)
a)by using newtons 2nd law,derive the equation of motion for the vibration system in matrix form b)diferrentiate between the 1st,2nd and 3rd vibration modes characteristic of the train system based on the mode shape diagram A three coaches train system shown in Figure 3(a) can be simplified as a three degree of freedoms semi definite mass-spring system as illustrated in Figure 3(b). The masses of the three coaches are /m = 15000 kg, m-10000 kg and m-15000 kg. The three...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a sinusoidal input force mx+cx + kx = A sin(at) The mass is m-5 kg, the damping constant is c = 1 N-sec/m, the spring stiffness is 2 N/m, and the amplitude of the input force is A- 3 N. For this system give explicit numerical values for the damping factor 5 and the un-damped natural frequency Using the given formulas for...
Problem B-8-7 A free vibration of the mechanical system shown in Figure 8-27(a) indicates that the amplitude of vibration decreases to 25% of the value at 1-10 after four consecutive cycles of motion, as Figure 8-27(b)shows. Determine the viscous-friction coefficient b of the system if - kg and k 500 N/m. AAAA?~ x4 = 0.25 im Figure 8-27 (a) Mechanical system (b) portion of a free vibration curve.
EXam 2 Name: 1. A n undamped vertical system consists of a mass weighing 100 N and a spring of stiffness 5000 N/m. It is acted on by a harmonic force of amplitude 80 N and frequency 5 Hz. Find i) The displacement of the spring due to the weight of the mass, The static displacement of the spring due to the maximum applied force, and The amplitude of forced motion of the mass for zero initial conditions iii)