Lab 4 Data

I’m struggling with questions a b c

4- Please I want solution of this problem. Thanks

Vibrations please help

Consider the following system: mä(t) + cx(t) + kx(t) = F,8(t) + F28(t – t1) Asumme zero initial conditions. The units are in Newtons. If m = 9.3634 kg, c = 49.8992 Ns/m, k = 90.1813 N/m, F1 = 94.7209 N.s , F2= -85.0916 N.s and t1 = 0.8657 s, the displacement of the system at t2 = 5.4519 s is: %3D %3D 0.0021 mm -0.0218 mm 0.0002 mm -12.3038 mm -0.539 mm

An undamped simple harmonic oscillator has mass 2.0 kg and spring constant 50 N/m. The initial displacement from equilibrium (at time t = 0) is 0.30 m and the initial velocity is 2.0 m/s. %3D 1. Determine the angular frequency (in rad/s), the frequency (in Hz), and the period (in s). Determine numerical values (not in terms of .) Determine the displacement in the form x(t) = Acos(mot) + Bsin(@ot). That is, solve for A and B in meters, and write oo in radians per second.

Mechanical vibration

Vibrations please help

The response of a certain dynamic system is given by: x(t)=0.003 cos(30t) +0.004 sin(30r) m   (5Mks)   Determino:   (i) the amplitude of motion.   (2Mks)   (ii) the period of motion.   (in) the linear frequency in Hz.   (4) the angular frequency in rad/s.   (2Mks) (2Mks)   (2Mks) (2Mks)   (v) the frequency in cpm.   (vi) the phase angle.   (2Mks)   (vii) the response of the system in the form of x(t) = X sin(t +$) m.

T'sec In helical spring experiment a student plotted the graph of T2 versus the oscillating mass (M), and Used the slope to find the spring :constant, the value of k is 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 O. O a. 13.3 N/m O b. 6.8N/m O c. 5 N/m O d. 3.3 N/m O e. 24 N/m 5 10 15 20 25 30 35 40 45 50 55 60 65 M (9) 70 75 80

P.S: answer the question and plot 4 separate graphs

Theory of vibration exercise

"A seismograph detects vibrations caused by seismic movements. To model this system, it is assumed that the structure undergoes a vibration with a known amplitude band frequency w (rad/s), such that its vertical displacement is given by xB=bsin(wt). This movement of the structure will produce a relative acceleration in the mass m of 2 kg, whose displacement 2 will be plotted on a roller." x= 15 kN/m Structure -WI 24 mm (Ctrl) sin(wt) b(w/w)² √√1 (w/w)] + [25(w/w)]²' "The seismograph's roller measures 60 mm, and a maximum vibration amplitude of the structure of b<5 mm is expected. Design the damper (constant c) to ensure that, for a constant oscillation, the seismograph functions correctly and the needle does not move off the roller."

Classwork for PHYS220-A-Ali Sabbah-SP2021 Beirut Sec-A Beirut (MW 09:30-10:45) google.com/u/0/w/Mjc5NTQzMDc5NTgz/t/all PHYS220 Spring/20-21 Practice Sheet-1 Keys 1) A0.1 kg object oscillates as a s At a position X,, the object has a kinetic energy of 0.7 J and a potential energy 0.3 J. The amplitude of oscíllation, A, is: (a) 0.12 m (b) 0.22 m aple harmonic motion along the x -axis with a frequency f 3.185 Hz. (c) 0.31 m (d)0.42 m EJE the

The 8kg body is moved to the right of the equilibrium position and released from rest at time t = 0. The viscous damping coefficient is 23NS/m and the spring stiffness, K is 38N/m. Determine the damping factor (ratio) of the system. Note: Give your answer to 3 decimal places. Other Parameters: Logarithmic Decrement (8): Answer: 2ng 2T C 8 = In = In1 = 5 wnTd = 5wn X2 Xn+1 1-5 wa 2m k Damping Ratio (5): 5= 2vkm 2mn V(21)2+8 Frequency of damped vibration (wa): wa = 1-Wn Undamped Forced Vibration: Frequency Ratio (): r- Xp-x sin w t Next page Hous page Type here to search

Experiments are repeated and two separate acceleration peaks separated with the damped vibration period are found as 0.53 g and 0.28 g, respectively where g is the gravitational acceleration. The uncertainty with the acceleration measurement is found to be 0.03 g from the manufacturer manual. We would like to report the damping ratio. What is the mean value of the damping ratio and uncertainty in the damping ratio calculation.?

Consider the following system mä(t) + cx(t) + kx(t) = F,8(t) + F28(t – t1) Assume zero initial conditions. The units are in Newtons. If m = 42.7334 kg, c = 44.7394 Ns/m, k = 6776.8559 N/m, F1 = 47.5525 N.s, F2 = -5.3708 N.s and t = 3.9737 s, the velocity of the system at t2 = 2.3387 s is

A mechanical system is presented as below. There are four simulation graphs for different values for m, b and c tested for a step response. Identify the graph for m=4 kg, b=0.3 N.s/m and k=1 N/m (Hint: you may need to use matlab simulation to find it). m 1.8 1.6 1.4 b ·f(t) Step Response

Theoretical value of frequency Wn = L (@n)? = *thread length=28cm Practical value of frequency No. Tmain (sec) = total time/5 time for (5) oscillations 1 T, =5.37s 2 T2 =5.64s 3 T3 =5.31s 4 T4 5.35s 5 T5 5.73s Tmain Tn = 1 fn = Tn Wn = 2 n fn Compare (wn) the result of a theoretical experiment with a practical one

Vibrations

Vibration Engineering

.ll alfa ? 1:09 PM @ 27% 4 PHYS220_Exam-1 Pr... PHYS220 _ Spring/20-21 _ Practice Sheet-1_ Keys 1) A0.1 kg object oscillates as a simple harmonic motion along the x -axis with a frequency f = 3.185 Hz. At a position x1, the object has a kinetic energy of 0.7 J and a potential energy 0.3 J. The amplitude of oscillation, A, is: (a) 0.12 m (b) 0.22 m (c) 0.31 m (d)0.42 m 2) A block of mass m is attached to a spring with force constant, k and oscillate at a frequency f. If the mass is changed to m' = m/2, and the spring force is changed to k' = 2k, then the new frequency f' of the oscillation would be, (a) f' = 2f (b) f' = f (c) f' = f/2 (d) f' = 4f The following given is for questions 3 and 4: A block of mass m = 2 kg is attached to a spring with spring constant k = 200 N/m, and set to oscillates on a frictionless horizontal surface. At time t = 0 its position is xo = 0 and its velocity is vo = +5 m/s. 3) Which of the following is true about the oscillation amplitude and the phase…

QUESTION 4 Consider a two-degrees-of-freedom system shown below. k₁ www. kz wooo kz -0000 m2 mi What is the amplitude of vibration of mass 1 oscillating at the input frequency? (This is just another way of asking for the amplitude of the particular solution). The answer must be positive. Use scientific notation with 3 significant figures. Omit units. Use m1 = 1 kg m2 = 4 kg k1 = 107 N/m k2 = 135 N/m k3 = 117 N/m = F1 376 cos(3.6t) N F2 = 0.

Ex. A vehicle wheel, tire and suspension assembly can be modeled crudely as a single degree of freedom spring mass system. The mass of the assembly is measured to be about 300kg. its frequency of oscillation is observed to be π rad/sec. What is the approximate stiffness of the tire, wheel and suspension assembly? ilippines) Accessibility: Investigate