During a vibration measurement test, an impact hammer is used to excite the structure. A sample test on the driver mirror of a vehicle is shown below. During the test, an impact hammer with a force sensor on the tip excites the structure while the oscillations of the structure is measured with an accelerometer. Assume that the system is underdamped with =0.15 and K.q=0.8x10' N/m. The force is applied in a short time period (At=1 ms) with a constant value of 100 N as shown below. If the natural frequency is found to be 500 Hz, derive the response, and plot the amplitude A(t) in mm vs time between 0 to 0.03 seconds. Now take the FFT of your time domain solution, A(t) and plot the amplitude vs frequency graph. Show the value and location of the damped frequency and natural frequency on this graph.

Select the right answer for each of the following: 1- The damped vibrational system is. system, (c) none of these, (d) false statement. (a) conservative system, (b) nonconservative (a) viscous (b) solid 2- When a system vibrates in a fluid medium, the damping is (c) Coulomb. 3- When an initial excitation exerted on a vibrational system results in - ippearance. (a) natural frequency. (b) resonance. (c) beating. (d) none of these. 4- Undamped vibration is characterized by no loss of 1) (a) speed, (b) acceleration, (c) mass, (d) energy. (a) mass, (b) damper, 5- Vibratory system should at least consists of a spring and - (c) mass and damper.

A single degree of freedom system with a mass of 1 kg. C = 10 N.Sec/m, and K = 25 is an underdamped free vibration system. True O False

analytical mechanics

please be specific and explain will up vote if correct

QUESTION 3 Vibration absorber (also called tuned mass damper) is used to reduce* the vibration at the natural frequency of the original system. Consider a M-K system shown below. Original System x(t) Modified System x₁(1) X2(t) K K MA M 0000 M F(1) F(t) absorber K This system has a natural frequency at rad. The absorber mass and the spring are attached to the original system as shown in the figure, and the values are selected so that (1) the amplitude of the original mass, M. at the original natural frequency is zero, and (2) the new natural frequencies are moved away from the original natural frequency. The selection of absorber mass and stiffness, m and k, is easy. They have the same ratio as the ratio of the original system. That is, M/m = Klk. Find the transfer functions X1(s)/F(s) and X2(s)/F(s) before you can answer questions. What is the fundamental frequency (first natural frequency) of the modified system in rad/s? Use scientific notation with 3 signifincant figures. Omit…

When the person stands in the center of the floor system shown, he causes a static deflection 6st = 0.32 in. of the floor under his feet. If he walks (or runs quickly!) in the same area, how many steps per second would cause the floor to vibrate with the greatest vertical amplitude?

A step test of a transducer shows a signal having a damped oscillation decaying to a steady value. If the period of oscillation is 0.577 ms, what is the transducer ringing frequency?

If the characteristic equation is system is stable or not stable. Stable Not stable s³ +8s² +21s +18 = 0 ,determine whether the 4

please be specific and expain will upvote if correct