b24 Find the rms value for the following waveform over one full cycle. 40(V) -1 cycle - 16 7 8 9 10 11 12 (S) -1
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- H-W Find Time response for 2S+3 Yes)= s° (s+3)Match the transfer function with correct Bode amplitude plots. G(s) = s+ 10 s(+100) s+ 100 G(s) = s(s+10) S G(s)= (s+10) (s+100) (+10) G(s) = (+100) s(+100) G(s) = (+10) (+10)(+100) G(s) = S A. -20 dB/dec 20 dB/dec B. D. 20 dB/dec -20 dB/dec 20 dB/dec -40 dB/dec -20 dB/dec 20 dB/dec 40 dB/dec E. 20 dB/dec -20 dB/dec 20 dB/dec 20 dB/dec -20 dB/decProblem 1: (5 points) ements Decoding a Message The cryptogram below was encoded with a 2 x 2 matrix. The last word of the utton message is_RON. What is the message? 8 21 -15 - 10 -13 –13 5 10 5 25 5 19 –1 6 20 40 - 18 – 18 1 16 ents ns Problem 2: (15 points) Wildlife A wildlife management team studied the reproduction rates of deer in three tracts of a wildlife preserve. The team recorded the number of females x in each tract and the percent of females y in each tract that had offspring the following year. The table shows the results. nila Library esentation MS ory Survey Number, x 100 120 140 UDENTS 19 Percent, y 75 68 55 ATION al Faculty (a) Find the least squares regression line for the data. ance on Part ear from (b) Use a graphing utility to graph the model and the data in the same viewing window. How your Handled Classes (c) Use the model to create a table of estimated values for y. Compare the estimated values with the actual data. (d) Use the model to estimate the percent of…
- C 14:40 Two cables AB and AC are acting on the pole with forces FAB 760N and FAC = 480N with parameters defining the attachment points shown in the table. We want to write the vector FAB in cartesian vector form. X - X2 Y₂ FAB FAC X1 Y1 X2 Y2 = Y₁ IN parameters value units FAB 760 N FAC 480 L 8 3 wamap.org 33 A 3 4 Z F₁ AB î+ B N Ζεεειειε m m m Write the vector FAB in Cartensian Vector Notation. Round your final answers to 3 significant figures. m L X1 3+R(S) XIS K 1 s+5 s+ 2 S+3 Y(s)QUESTION 1 Consider a 2 DOF system shown below. X1 k₁ m1 F₁ k₂ X2 k3 m₂ F2 The modeshape can be written as (1))] What is x for the second modeshape? Use scientific notation with 3 significant digits and omit units. (eg. -0.123) Let m1 = 2, m2 = 2, k1 = 9, k2 = 8, and k3 = 8.
- If f(x) = x² + cos(x) is a periodic function with period 2W, then a. It is an odd function which gives a value of a = 0 b. Its Fourier series is classified as a Fourier cosine series where a = 0 c. it is neither odd nor even function, thus no classification can be deduced. d. it is an even function which gives a value of b₁ = 0Match the transfer function with correct Bode phase plots. s+10 G(s)=(s+100) s+ 100 G(s)= s(s+10) G(s) = (s+10) (s+100) s(s+10) G(s) = (s+100) s(s+100) G(s)= (s+10) G(s) = (+10) (+500) S A. 180 deg- 90 deg 0 deg 90 deg 180 deg- 90 deg 00 00 0 deg C. 90 deg+ 90 deg+ 0 deg -90 deg D. 180 deg F. 90 deg 0 deg 90 deg -180 deg 90 deg 0 deg 90 deg -180 deg 90 deg 0 deg -90dex+ -180 deg 00secondary spacecraft reference plane primary spacecraft primary orbit plane Once you fix the primary or target spacecraft (the selection of primary spacecraft is only a matter of context), the relative motion of the secondary spacecraft is governed by the following initial value problem: a" 2wy - 3w? a = fz; x (0) = *0, x' (0) = x, y" + 2wa' = fy; y (0) = Yo, Y (0) = % 2' + w? z = fa; z (0) = 20; z' (0) Where w stands for the mean angular velocity of the primary spacecraft within its orbit plane. Also, fy represents the differential acceleration on the secondary spacecraft. fz x (t) Assuming there is no external force acting on the secondary spacecraft, use Laplace Transform to determine its position y (t) in the space. Your z (t) answer will be in terms of w and the set of intial conditions. Hint: The z part of the given IVP is a second order IVP by itself. Therefore it can be solved for z using Laplace Transform. For each of the first two differential equations (from the top), begin…
- 5. Sketch the following function in frequency domain plot: i. Y(t) = 3 sin (4лt) + 4 cos (4 лt) ii. Y(t) = 12 sin (10nt) + 5 sin (20лt) + sin (100лt)11- If A, B and C are three mutually exclusive events in the sample space then P(AUB UC) = a- P(A)+P(B) + P(C) b- P(A) + P(B)+P(C) c- P(A) + P(B)+P(C)-P(ABC) d- P(A)+P(B)Q5. For a point at distance 50 m and angle 450 to the axis which of the following statements are correct? Consider an infinite baffled piston of radius 5 cm driven at 2 kHz in air with velocity 10 m/s. You may choose multiple options. a. The constant term is given by 515.03 b. The distance dependent term is given by e-jk50/50 c. The directivity term is given by j1(Ka sin 450)/sin 450 d. There is no time dependent term.