Remote 4 - Wheatstone Bridge (Resistance Measurement)

Phase (deg) Magnitude (dB) 20 20 40 180 135 90 45 10' 0 ġ(t) 하 R www Mechanical Deformation Piezo Charge Amplifer 10 10 Frequency (rad's) v(t) Figure 2: Frequency response function of a microphone Figure 3: A simple model for piezoelectric sensor 3. Figure 3 is a simple circuit modeling a piezoelectric sensor. Mechanical deformation of the sensor induces charge q(t), which is first modeled as a current source. The capacitance C models the piezoelectric material, and the resistance R represents impedance of a charge amplifier with output voltage v(t). Usually, C is fixed for a sensor, but R is adjustable from the amplifier. The frequency response function from q(t) to v(t) is Answer the following questions. G(w)= = jRw 1+jRCw (6) (a) Consider the case when C = 1 Farad and R = 0.5 Ohm. (The numbers are chosen to ease calculations. In practical applications, C is much smaller and R is much bigger.) If the input deformation induces electric charge = q(t) cost+2 sin 3t (7) predict the…

Question 2 A quarter of suspension of system can be modelled as given in figure below. Write the EOMS in matrix form and calculate the natural frequencies for k₁=1000N/m; k₂=10000N/m; m₁=2000kg and m2=50kg. k₂ Tire stiffness [Ans: 0.67 and 14.83 rad/s] mi Car mass k₁ Car spring m2 Wheel mass

汇 Advertised missile performance: Natural Frequency 0.65 a = Angle of attack [rad] q = pitch rate [rad] = 1.25m center of gravity Xcg Zcg = Om center of gravity The equations of motion for the missile are a = q - 0.435sin a + 0.07a -0.00014q q = 111.484(xcg - 1.483)a - (2.2968 - 3.156zcg)q +3.448 + 137895Zcg To acquire the target the missile needs to fly at α = 0.017 [rad] qo= 0 [rad/s] = 0 [rad] So Determine if the missile is stable about the given equilibrium point.

vibrations please help

the same answer as found above. Tutorial Problems No. 2.2 1. Find the ammeter current in Fig. 2.57 by using loop analysis. [1/7 A] (Network Theory Indore Univ. 1981) 10 IK a 10 in 2K 10 10 10K IOK 10 4V 2K 100 V 10 T50 V 10 VT IK 10 Fig. 2.59 Fig. 2.58 Fig. 2.57

Second m oment of area of a section: With respect to the x axis: I [[ v²dxdy D 8. A plate is bounded by the positive x and y axes and the curve y=3-\x . Find the second moment of area of the plate with respect to the x-axis. [ANS : 8.1]

For the spring: k = 0.2[60] N/m. From the motor: amplitude of force = [100] N, forcing frequency = [16] rad/s. For the viscous damping: c = [20] N. s/m. If the mass is 100 kilograms, determine: 19. The amplitude of steady-state vibration in meters, 20. The phase difference in degrees. m C F = Fo cos wt

Hab. Tiruneh, [4/2/2023 1:23 AM]A solar flux q ^ * falls on a unit length of a very thin tube of diameter d. Inside the tube is a stationary water with initial temperature T_{i} (same as ambient and no gradient inside at any time) and absorbs some of the heat while the rest leaves by convection from the surface to the ambient at T_{m} Develop an equation that can help to determine the temperature of the water at any time. Plot the temperature of the water against time. For a long elapsed time what will be the temperature? To simplify the analysis use theta = T*T_{e} * d*theta = dT theta_{i} = T_{i}*T_{o} (initial condition. Hab. Tiruneh, [4/2/2023 11:53 AM]A flat wall is exposed to an environmental temperature of 38°C. The wall is covered with a layer of insulation 2.5 cm thick whose thermal conductivity is 1.4W / (m ^2 *` C and the temperature of the wall on the inside of the insulation is 315°C. The wall loses heat to the environment by convection. Compute the value of the convection…

Consider a second order system given by 10 d²x(t)/df² + 6 dx(t)/dt + 42 x(t) = 4 cost. What is the natural frequency in rad/s? Do not include units. Write your answer in scientific notation using 3 significant figures. (eg. 1.23e1)

(b) An object is vibrating with simple harmonic motion (SHM), x(t) = A sinøt of amplitude, A = 15 cm and frequency, f=2 Hz. [Sebuah objek yang bergetar dengan gerakan harmonik mudah, x(t) = A sinot yang amplitud A = 15 cm dan frekuensi, f = 2 Hz.] (i) Determine maximum acceleration and maximum velocity of the vibrating object. [Tentukan pecutan maksimum and halaju maksimum untuk objek bergetar tersebut.] (ii) Calculate the acceleration and velocity for the displacement vibrating object, x(1) = 12 cm. [Kirakan pecutan dan halaju bagi sesaran objek bergetar, x(t) = 12 cm.]

2. The equation of motion for a damped multidegree of freedom system is given by Where [m] = [m]{x} + [c]{x} + [k]{x} = {f} [100 = 0 0 0 10 0 10. 1000-4 {f} [c] 8 –4 0 8 – 4 -4 4 0 8 4 = 100 2 0 = Focos(wt) -2 -2 The value of Fo 50N and w 50 rad/sec. Assuming the initial conditions to be zero and using the modal coordinate approach, find out the steady state solution of the system in the modal coordinate for first mode. Plot the steady state solution using the computational tools. 0 −2], [k] = = 2

Mechanical Vibration Question is image

Vibration Engineering

W Determine the transformed reduced stiffness matrix for a unidirectional ply oriented at 45 degrees to the global x-axis for the material. S [Q]= [150.72 2.41 2.41 8.04 0 0 English (United Kingdom) Text Predictions: On - Q Search 23 Where: Using the formula below: F3 E [T] = $ 4 € R [T]-¹= F 0 0 GP F5 10] [cos²0 sin²0 -sin cose Accessibility: Good to go % 5 [cos²0 sin²0 sin cose Q = [T]¹[Q][T] T T F6 6 G sin²0 cos²0 sin cose sin 20 cos²0 -sin@cose 2sin cose -2sin@cose cos²0-sin²0] & H -2sin cose 2sin cose cos²0-sin²0] FB LU U * 00 O J F9 8 ( 9 F10 K M Focus GO F11 0 B P