Question The blade on the horizontal-axis windmill shown in (Figure 1) is turning with an angular velocity of Determine the angular velocity of point \( P \) on the tip of the blade when \( t=5 \mathrm{~s} \). \( \omega_{0}=2 \mathrm{rad} / \mathrm{s} \). It is given an angular acceleration of Express your answer in radians per second to three significant figures. \( The blade on the horizontal-axis windmill shown in (Figure 1) is turning with an angular velocity of Determine the angular velocity of point P on the tip of the blade when t=5 s. ω0​=2rad/s. It is given an angular acceleration of Express your answer in radians per second to three significant figures. αc​=0.9rad/s2 8 Figure 1 of 1 Part B Determine the magnitude of acceleration of point P on the tip of the blade when t=5 s. Express your answer in feet per square second to three significant figures.

please i need help Show transcribed image text A square footing is shown below, use FS = 6 and determine the size of the footing, utilizing Prakash and Saran theory [Eq. (3.43)]. Hints assume e/B = 0 for N

Funding your retirement You plan to retire in exactly 20 years. Your goal is to create a fund that will allow you to receive \( \$ 20,000 \) at the end of each year for the 30 years between retirement and death (a psychic told you that you would die exactly 30 years after you retire). You know that you will be able to earn \( 11 \% \) per year during the 30 -year retirement period. a. How large a fund will you need when you retire in 20 years to provide the 30 -year, \$20,000 retirement annuity? b. How much will you need today as a single amount to provide the fund calculated in part a if you earn only \( 9 \% \) per year during the 20 years preceding retirement? c. What effect would an increase in the rate you can earn both during and prior to retirement have on the values found in parts \( \mathbf{a} \) and \( \mathbf{b} \) ? Explain. d. Now assume that you will earn \( 10 \% \) from now through the end of your retirement. You want to make 20 end-of-year deposits into your retirement account that will fund the 30 -year stream of \( \$ 20,000 \) annual annuity payments. How large do your annual deposits have to be?

3.26. An LTI system has the impulse response h(t) = e ault – 1), where a > 0. = (a) Determine whether this system is causal. (b) Determine whether this system is stable.

Part A - Ideal op amp circuits with a voltage source: part 1 For the circuit shown, determine V. iz. and i, when V= 2 V R = 4 kN Rg = 4 k22 and R3 = 25 kN2 Assume that the op amp is in its linear region of operation Express your answer to two significant figures using appropriate units. View Available Hints) R3 = 25 kg w 1 ix = VCC mA R = 42 w V = 2 v -V R2 = 42 Vo = V 10 = IMA Part B - Ideal op amp circuits with a voltage source: part 2 For the circuit shown (Figure 1), determine the range (ie, maximum and minimum values) of V, so that the op amp operates in the linear region. Assume that R1 = 8 kN. R2 = 8 kN. R3 = 15 k2 and Va = 10 V Express your answer in volts to two significant figures separated by a comma. View Available Hint(s) V Η ΑΣΦ UT vec ? minimum V.. maximum V. = V Submit Part C - Ideal op amp circuits with voltage and current sources Determine V. when V =3V.I, = 1.6 mA R1 = 2 ks2. R2 = 20 kN2, and R3 = 10 k12. Assume that the op amp is in its linear region of operation. (Figure 2) Express your answer to two significant figures and include the appropriate units. | View Available Hint(s) μΑ ? V. = Value Units Submit

P2 Consider the linear system of two ODES dy = Ay, dt where A= : [ -1 -2 2 -1 a Find the eigenvalues of the matrix A. [1 mark] b Calculate the bound h for the stepsize h such that h <h characterizes asymptotic stability of the zero solution when Euler's method is applied to this system. [3 marks]

need help in below tasks COLUMNA COLUMNB 1. ? = A. 4x B. 4* 2. . 3. (合) C. 4 . D. x 1- 4. = E. x2 . 5. F. 2x S(-2) dx = * - 4 In|x[ + C x c )dx = 6Væ+C S (37« + ) dx = 2(x + 3) + C ? dx = In[x] - e* + C ſ 22+3x dx = 4 mo 5(2-1)dx SO(x2 - 2 + ) dx = x(x3 - 4x + 4) + C Scot? x + 2)dx = x ? +C Scsc?x dx cotx S In(1+cos3x) dx +C In 8 32x In x1 +C 2 In 3 3 G. 8* 6. ? H. 2x 7. - = 1. sinºx 8. J. 3 sin x K. sin(3x) L. 32x 9. +C 3 ? 10. +C M. Vx2 1+cos 3x 3 2 11. +C N. xe 3 2(cos x)(sinºx) dx = 5 In (3x) 5in (3x) S +C 12. 0. dx 4 ? P. cotx 13. 3 2 Q. cotx 14. -dx =*+ S(x* – 3x3 + 2-2)dx = *(8x*–30x®+53-80) ? S dx = 4x + c +C R. 2 cotx 40 15.