4. Determine which of the following flow fields represent a possible incompressible flow? (a) u= x²+2y+z; v=x-2y+z;w= -2xy + y² + 2z a (b) V=U cose U coso 1 (9) [1-9] Usino |1 (4)] [+] V=-Usin 1+1
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![4. Determine which of the following flow fields represent a possible
incompressible flow?
(a) u= x²+2y+z; v=x-2y+z;w= -2xy + y² + 2z
a
(b) V=U cose
U coso 1 (9)
[1-9]
Usino |1 (4)]
[+]
V=-Usin 1+1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8713ba7c-61e3-40e0-afc1-3cb140fa24f1%2Fe7b0cd17-a3c6-450a-8f4f-9ec6ab8d35da%2Frxnz7u_processed.jpeg&w=3840&q=75)
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- Given: F₁ = + < -13.6, 15.6,07 [N] 1₂= 20.1[N] 8 = 45° witch w = 1.875 m Height = 1.875m h h L 144 ( force would need to act ? Y W 1644 11. X 154 varhar is X-dorance from the origin The resultant- Python 3 (pyke We have learned the mid-point and trapezoidal rule for numercial intergration in the tutorials. Now you are asked to implement the Simpson rule, where we approximate the integration of a non-linear curve using piecewise quadratic functions. Assume f(x) is continuous over [a, b]. Let [a, b] be divided into N subintervals, each of length Ax, with endpoints at P= x0, x1,x2,..., Xn,...,xN. Each interval is Ax = (b-a)/N. $ The equation for the Simpson numerical integration rule is derived as: df(xn)) + 2 (Σ=2n even Now complete the Python function InterageSimpson (N, a, b) below to implement this Simpson rule using the above equation. The function to be intergrate is f(x) = 2x³ (Already defined in the function, no need to change). Sof(x)dx≈ [f(x) + 4 (N= []: 'Complete the function given the variables N, a,b and return the value as "TotalArea". " "Don't change the predefined content only fill your code in the region 'YOUR CODE" a Idle Mem: 262.63/12288.00 MB F4 R from math…conduct a full kinematic analysis and calculate dynamic reaction forces in a linkage mechanism, calculate instantaneous torque, required to drive the mechanism 470 Figure 1. Left: An operating pumpjack linkage mechanism. D G E A Φ B B T H WOA Right: A mechanical Figure 1 shows a pumpjack operating at an oil well. Its representation as a linkage is also shown in Figure 1. The pumpjack is driven by a motor attached to crank OA. A constant torque T' is applied to the crank and the crank rotates at a constant angular velocity wOA. A force P is applied vertically downwards at the end of the walking beam BD, which has its centre of mass at point G. To design the mechanism, a careful kinematic analysis of the mechanism needs to be conducted. To avoid mechanical failure and to provide adequate support to the mechanism, the engineer needs to analyse the reaction forces in the joints. Masses of links OA and AB are assumed to be smaller in comparison with the mass of BD and are ignored in the…
- Find expressions for the coefficients an and bn for a plucked 50 cm string fixed at the ends with initial velocity 10 m/s at the midpoint. A an = (-1)"80/[(nn)2], b = (-1)"80/[w₁(nπ{(2n+1)π² B C D an = 0, b2n=+1 = (-1)2n+180/[wn{(2n+1)m}² a2n+1 = -(-1)2n+180/[(2n+1)}²], b₁ = 0 an = 0, bn = (-1)^80/[w,(nn)²]хоос» 0 Python 3 (p Define a python function to determine the 2nd moment of area I, under the parabola, with respect to the centroidal-axis. The parabolic curve is defined as z = ky2, where k = b/h². The centroidal axis has a given distance d with respect to z axis. Hints: Use the parallel axis theorem. Find the 2nd moment of area against z axis first and then use the formula I₂ = I₁ + d²A to calculate I, where d is a given value (no need to derive). Note that this question requires you to derive the equation first. $ 4 l) | Idle Mem: 260.77/12288.00 MB Q F4 R y 1 1 0 do 5 [ ]: # Complete the function given the variables b,h,d and return the value as "Area","Iz" and "Ic" # This is not about numerical integration, we only need the analytical solution. # Don't change the predefined content, only fill your code in the region "YOUR CODE" Mode: Command % 9 F5 0 T . Markdown v z = ky² 2 6 C F6 Validate Y & 7 8: F7 U * 8 DII F8 I 19 F9 b O ) Ln 1, Col 1 English (United States)…4:17 .l 86% google.com Water flows from point A to points D and E as shown. Some of the flow parameters are known, as shown in the table below. Determine the unknown parameters. Q1 V1 Q2 V2 D2 Qa V3 D3 D D: Q4 V4 A в D4 E Section Diameter [mm] | Flow rate [m³/s] Velocity [m/s] |AB BC 350 222 ??? 2?? Q3=2Q4 |Q«=0.5Q. 750 1.5 ??? 150 1.7 ??? CD СЕ C Chegg Visit Solved: Water Flows From Point A To Points D And E As Show ... Images may be subject to copyright. Learn more Related images O V tees f p A p Dd p E e ies ef pie de Gm t eeesnde pe the e be ple the er de e N d k hee may etheme4 Water fows fhem peint Ato pos Dand E as shon Sone of the flow parancters are knon, ashown in the able below Drenine he ukow paranem Sertan Dia r Phee rate Veleci jas LAB BC elect ja w y 150 ate K lo H- | Solved: Q3) Water Flows From Poi. chegg.com Solved: Quiz 2 Water Flows From P... TOTAL chegg.com Water flows theoagh a 150 m diameter horintal pipe at the steady ma flow rate of 60kg/s A meticn i fitted…
- I need help with my MATLAB code. There is an error in the following code. The error says my orbitaldynamics function must return a column vector. Can you help me fix it? I tried changing the semi colon to a comma in dstate_dt = [v, a_total]; but it still gives me error mu_earth = 398600.4418; % Earth's gravitational parameter (km^3/s^2) R_earth = 6378.137; % Earth's radius (km) C_d = 0.3; % Drag coefficient (assumed) A = 0.023; % Cross-sectional area of ISS (km^2) m = 420000; % Mass of ISS (kg) % Initial conditions: position and velocity (ISS state vector) % ISS initial state vector (km and km/s) - sample data state_ISS =[-2.1195e+03, 3.9866e+03, 5.0692e+03, -5.3489, -5.1772, 1.8324]; % Time span for 10 revolutions T_orbit = 2 * pi * sqrt((norm(state_ISS(1:3))^3) / mu_earth); time_span = [0, 10 * T_orbit]; % Step 3: Numerical integration using ODE solver options = odeset('RelTol', 1e-12, 'AbsTol', 1e-12); [t, state] = ode45(@orbitalDynamics, time_span, state_ISS,…I am trying to plot an orbit in MATLAB. There is something wrong with my code because the final values I get are incorrect. The code is shown below. The correct values are in the image. mu = 3.986*10^5; % Earth's gravitational parameter [km^3/s^2] % Transforming orbital elements to cartesian coordinate system for LEOa_1 = 6782.99;e_1 = 0.000685539;inc_1 = 51.64;v_1 = 5;argp_1 = 30;raan_1 = 10; [x_1, y_1, z_1, vx_1, vy_1, vz_1] = kep2cart(a_1, e_1, inc_1, raan_1, ... argp_1, v_1); Y_1 = [x_1, y_1, z_1, vx_1, vy_1, vz_1]; % time_span for two revolutions (depends on the orbit)t1 = [0 (180*60)]; % Setting tolerancesoptions = odeset('RelTol',1e-12,'AbsTol',1e-12); % Using ODE45 to numerically integrate for LEO[t_1, state_1] = ode45(@OrbitProp, t1, Y_1, options); function dYdt = OrbitProp(t, Y) mu = 3.986*10^5; % Earth's gravitational parameter [km^3/s^2] % State Vector x = Y(1); % [km] y = Y(2); % [km] z = Y(3); % [km] vx = Y(4);…Tp = Fq +°P/Q• (1) Here ip/Q is the "position of point P relative to point Q." Similarly the velocities of the two points are related by õp = bq + Up/Q- (2) The quantity õp/Q is the velocity of point P relative to point Q. I want you to use these ideas to solve the following problems. 1. The figure below shows a view from above of a large boat in the middle of the ocean. So that the crew on the ship can get exercise on long journeys, there is a circular walking/running track on the back deck. CA B- -D Suppose that the radius of the track is R = 6 m, and a person is running on the track at a constant speed of v = 3m/s as measured with a stopwatch by a crew-mate on board the ship. Suppose the runner is running counter-clockwise around the track when viewed from above. Write the velocity vector of the runner in terms of basis (ê1, ê2) as perceived by a crew-mate on the ship. (a) What is the velocity vector when the runner is at point A? (b) What is the velocity vector when the runner is…
- .(b). A force acts on a 2.80-kg particle in such a way that the position of the particle as a function of time is given by x = Find the work done by the force during the first 4.0 s. [4,3] [CLO 3] (3t - 4t²+ t³). Answer10. [-/3 Points] DETAILS SERCP8 4.P.012. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Two forces are applied to a car in an effort to move it, as shown in the following figure, where F, = 427 N and F, = 381 N. (Assume up and to the right as positive directions.) 10° 180° F (a) What is the resultant of these two forces? magnitude N direction ° to the right of the forward direction (b) If the car has a mass of 3,000 kg, what acceleration does it have? Ignore friction. m/s2 Need Help? Read Itphysical quantities m, r, u, a, and t with dimensions [m] = M, [r]= L, [v] = LT, [a] = LT-2, and [t] = T. Enter the dimensional expression of the quantity on the right-hand side of each equation. Your answers may contain only M, L, T, and exponents. Assume that each of the following equations is dimensionally consistent. F = ma [F] =
