Here I'm finding final kinetic energy KE2, given initial kinetic energy, initial force, alpha N/m^3 and beta N representing F(x). I integrated F(x)dx though I'm not sure how to integrate Fo with respect to X. I tried just finding the integrand ouput of 7.5x10^4m and subtracting the initial force, since the initial force would count as x=0, or I assumed. I then followed the regular approach of adding over the initial KE1 to isolate the unknown KE2 which I keeo getting as 1.07x10^10 which seems to be off. Again, I suspect where I'm going wrong is integrating the initial force -3.5x10^6N with respect to x, but other than what I've already done, that doesn't make sense to me.

Based on your equations for the above problem, solve for the extension of the spring (in meters) when the variables have values as follows: angle A is 74.79 degrees angle B is 44.36 degrees spring constant k is 123.77 N/m mass m2 is 2.52 kg

3G 9:.. %79 Final 1st attem... F2 У - ахis Fs F4 F1 х - ахis X- axis y - axis F3 F2 F1 Figure (1) Figure (2) 250 N 36.87 D F2 60° 0.5 m 1 m o! 0.2 m 1 m 300 NE F1 1 m Figure (3) Figure (4) Q1] Answer the following questions: For figure (1): The object is subjected to two forces F1 = 25 N, and F2 = 50 N. Set x = 30°, 0 = 45° , and ß = 30°. 1- What is the magnitude of the resultant of these two forces? a) 39.4 N b) 80.1N c) 41.6 N d) 69.8 N e) 71.4 N f) 46.1 N g) None of them 2 - What is the direction of the resultant force measured counterclockwise from the positive x-axis? а) 14.30 b) 392.6° c) 9.2° d) 322.9° e) 6.8° f) 344.2° g) None of them For figure (2): The arm in is subjected to five forces as follows: F1 = 135 N, F2 = 98 N, F3 = 210 N, F4 = 56 N. If the y – direction resultant force is 144 N, and x = 40°, 0 = 50°, B = 70°: 3 – What is the magnitude of the force F5? a) 318.4 N b) 99.1N c) 151.6 N d) 36.5 N e) 111.2 N f) 18.8 N g) None of them 4 - What is the magnitude of the…

Q3. Referring to the jet-impact test shown in Figure 3: The following tables show one measurement for the 90o-deflection plate. Referring to the lab manual, complete the missing columns in the tables.

2. For Pump Omicron, the pump performance data is shown in Table 2 below. Plot a curve of best fit Havailable versus Q from 0 Lpm to 30 Lpm. State the equation represented by the curve. On the same graph, plot the Hrequired versus Q and indicate the operating point. Table 2: Pump Omicron performance data Q (LPM) H (m) 0 46.5 46 42 37 29 16.5 0.0 5 10 15 20 25 30

Please answer it correctly and read carefully. SHOW SOLUTION STEP BY STEP PLEASE

i need the answer quickly

1) Is it possible to prescribe the velocity v0, so that the pendulum keeps rotating with alpha = pi/2 Explain clearly why?  Given: L, g, and m. 2) After transient motion, the pendulum settles at steady state rotation atalpha = pi/3. Find the initial velocity v0. Given: L, g, m, sin(pi/3) = (squareroot(3)/2), cos(pi/3) = (1/2). [Hint: Use the conservation of energy and the 2nd Newton’s law.]

25. A wind turbine having an efficiency of 35% and rotor diameter of 33 m is exposed to air flowing at a speed of 6 m/s. Find the power developed by the turbine. Assume ρ = 1.2 kg/m3. [Ans.: 38.8 kW].

3. The relationship between arterial blood flow and blood pressure in a single artery satisfies the following first-order differential equation: dP(t) + dt RC mmHg (cm³/s) P(t) = where Qin is the volumetric blood flow, R is the peripheral resistance, and C is arterial compliance (all constant). Qin-60 cm³/s and the initial arterial pressure is 6 mmHg. Also, assume R = 4 and C= 0.4- Oin cm³ mmHg (a) Find the transient solution Ptran(t) for the arterial pressure. The unit for P(t) is mmHg. (b) Determine the steady-state solution Pss(t) for the arterial pressure. (c) Determine the total solution P(t) assuming that the initial arterial pressure is 0.