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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
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فب this is an intro to mechanical ViBRATION Problem, I know the solution to this problem...
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)
Question 2. In the experimental vibration system shown below, the point A is given a sinusoidal motion of amplitude 6 mm at a frequency of 2 Hz. The mass of 1 kg at B is connected through the spring 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...
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...
Consider the mass M subject to periodic forcing P(t) A sin wt where A 0.3 and e is a small parameter. The mass is attached to a spring with stiffness k and dashpot with damping coefficientc to model the stiffness and damping of the structure. Resting atop the idealized structure is vibration damper consisting of a mass ma, spring ka, and dashpot ca, as shown in Figure 1. The goal is to make the appropriate choice of the parameters ma,...
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.
A team of researchers are working to find a solution to the anticipated global lack of ventilators. You are asked to solve a vibration problem with the prototype. The system has a mass m = 5 kg, and the moving parts induce a harmonic force F(t) = 57 cos (66 t) N. The damping is negligible, and the system is assumed to start from rest with no velocity. 1. Write the total response of the system x(t) as a function...
Mechanical vibration subject 3. a. Consider the system of Figure 3. If C1 = C2 = C3 = 0, develops the equation of motion and predict the mass and stiffness matrices. Note that setting k3 = 0 in your solution should result in the stiffness matrix given by [ky + kz -k2 kz b. constructs the characteristics equation from Question 3(a) for the case m1 = 9 kg, m2 = 1 kg, k1 = 24 N/m, k2 = 3 N/m,...
(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...
The following system is composed by two masses The first mass m, = 21 kg, moving horizontally (x1, positive rightwards) • The second mass m2 = 2.4 kg, moving horizontally (X2. positive rightwards) The first mass is connected to the ground (on the left) by two springs, each with stiffness k = 201 N/m. The second mass is connected to the first mass by another spring, also with stiffness k = 201 N/m. A harmonic force is applied to the...
help me with this Consider the vibration of mass spring system given by the initial value problem m d²x dt2 dx +b. dt + kx = 0 x(0)=0, x'(0) = 1 Where m, b, k are nonnegative constants and b2 < 4mk. Show that a solution to the problem is given by b2 2m e 2m sin 4mk-b2 4mk 2m t (CO2:P01 - 8 Marks) b. A 200 g mass stretches a spring 5 cm. If it is release from...