Considering the following system s+3 G(s) = s(s+1)(s+5) In the Bode plot, what is the slope of the magnitude plot over high frequencies 10 rad/s)? (w a. 20 dB/decade O b. -20 dB/decade ○ c. -40 dB/decade O d. -60 dB/decade In the above Question, what is the corresponding phase? O a. -180° b. -90° ○ c. -270° ○ d. 180° In Question 11, what is the sketch of the magnitude and the phase over ( 1

1) Consider the baseband pulse x(1) = n(2) = 11 a) Derive the complex ambiguity function for x(t) and compare your result with the one obtained in class. b) Use MATLAB to compute the complex ambiguity function and compare it to part (a). c) Now, consider the pulse x(t) = sinc(Bt) i) Derive the complex ambiguity function for x(t) and compare to the ambiguity function of the rect pulse. Make your observations. ii) Plot the ambiguity function using the mesh function and using the contour function. iii) Use MATLAB to compute the complex ambiguity function and compare it to part (ii).

A single degree-of-freedom linear elastic structure was subjected to a series of harmonic excitations, one at a time. The excitations had the same forcing magnitude but different forcing frequency. Forcing frequencies and observed peak steady-state displacements are shown in the graph below. Find the natural period and damping ratio of the structure. Displacement (mm) 60 50 40 30 20 10 0 0 1 2 . 3 4 Forcing frequency, f [Hz] 5 4. 6 7

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

An object attached to a spring undergoes simple harmonic motion modeled by the differential equation d²x = 0 where x (t) is the displacement of the mass (relative to equilibrium) at time t, m is the mass of the object, and k is the spring constant. A mass of 3 kilograms stretches the spring 0.2 meters. dt² Use this information to find the spring constant. (Use g = 9.8 meters/second²) m k = + kx The previous mass is detached from the spring and a mass of 17 kilograms is attached. This mass is displaced 0.45 meters below equilibrium and then launched with an initial velocity of 2 meters/second. Write the equation of motion in the form x(t) = c₁ cos(wt) + c₂ sin(wt). Do not leave unknown constants in your equation. x(t) = Rewrite the equation of motion in the form ä(t) = A sin(wt + ), where 0 ≤ ¢ < 2π. Do not leave unknown constants in your equation. x(t) =

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)

Question 3 Find the natural frequency (in rad/sec) of the system in In the figure below: Use: m1= 5 kg, k1 = 53 N/m, k2 65 N/m and k3 18 N/m Write your answer to FOUR significant figures. Don't write the units X1 X2 k1 k2 k3 W ww m1

The equation of motion of a simplified model mechanical system is given below. of a m, o X₁ ki+k₂ k₂ O +1 NA 1/2 FU 10 ma -k₂ k₂ | k₂ = 10,000 N m₁ = 40 kg / m₂ = 130 kg, k₁ = 20,000~ m 0 a) Natural Freequency b) Find the mass normalized mode shapes of the system. c) Drave the mass normalized mode shapes.

16:55 M O X * 16% £ Jihad Harfosh 20 minutes ago In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, O"max, to the maximum angular velocity, O'max, is rt s^(-1). What is the time needed for the pendulum to complete one-half ocillation? 4 sec 0.5 sec 1 sec 2 sec 0.25 sec く

(Vibrations) QI find Keff)A & Keff)B for the 2 d.o.f system. what do you discover? K1=10 K2=20 A 1 m C 1 m В