Chapter 16, Problem 2DP

Consider, M people (aka pax) who want to travel by car from O to D. They all start working at D at Q (e.g., Q-8am). If a person departs at time t, assume the time needed to go from O to D is given by c(t)=A+Bx(t), where x(t) is the flow of people departing at time t [car/unit of time]. In addition, a is the penalty for being early at work (E(t) is how early the person arrived when departing at time t), and ẞ is the penalty for being late at work (L(t) is how late the person arrived when departing at time t). Assume 0 < a < 1 < ß. Further assume the departure time choice problem under the equilibrium conditions. Prove that the arrival time of people who depart when most of the M people start their trips is equal to Q.

Find the voltage V0 across the 4K resistor using the mesh method or nodal analysis. Note: I have already simulated it and the value it should give is -1.714V

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2) The phase voltage at the terminals of a balanced three-phase Y-connected load is 2400 V. The load has an impedance of 16+j12 2/6 and is fed from a line having an impedance of 0.10+j0.80 2/6. The Y- connected source at the sending end of the line has a positive phase sequence and an internal impedance of 0.02+j0.16 2/6. Use the a-phase voltage at the load as the reference. a) Construct the a-phase equivalent circuit of the system b) Calculate the line currents IaA, IbB, and Icc c) Calculate the phase voltages at the terminals of the source, Van, Vbn, Vcn- d) Calculate the line voltages at the source, Vab, Vbc and Vca. e) Calculate the internal phase-to-neutral voltages at the source, Va'n, Vb'n, Ve'n,

1) • A balanced three-phase circuit has the following characteristics: Y-Y connected The line voltage at the source is Vab = 120√3(0°V • The phase sequence is positive The line impedance is 2+ j3 2/0 The load impedance is 28 + j37 02/0 a) [4 pts] Draw the single phase equivalent circuit for the a-phase. b) [2 pts] Calculate the line current IaA in the a-phase. c) [4 pts] Calculate the line voltage VAB at the load in the a-phase.

||! Sign in MMB241 - Tutorial L9.pd X PDF MMB241 - Tutorial L10.pX DE MMB241 - Tutorial L11.p x PDF Lecture W12 - Work and X File C:/Users/KHULEKANI/Desktop/mmb241/MMB241%20-%20Tutorial%20L11.pdf PDE Lecture W11 - Power and X Draw Alla | Ask Copilot ++ 3 of 3 | D 6. If the 50-kg load A is hoisted by motor M so that the load has a constant velocity of 1.5 m/s, determine the power input to the motor, which operates at an efficiency € = 0.8. 1.5 m/s 2 7. The sports car has a mass of 2.3 Mg, and while it is traveling at 28 m/s the driver causes it to accelerate at 5m/s². If the drag resistance on the car due to the wind is FD= 0.3v²N, where v is the velocity in m/s, determine the power supplied to the engine at this instant. The engine has a running efficiency of P = 0.68. 8. If the jet on the dragster supplies a constant thrust of T-20 kN, determine the power generated by the jet as a function of time. Neglect drag and rolling resistance, and the loss of fuel. The dragster has a mass of 1…

Q | Sign in PDE Lecture W09.pdf PDF MMB241 - Tutorial L9.pdi X PDF MMB241 - Tutorial L10.p X PDF MMB241 - Tutorial L11.p X Lecture W12-Work and X + File C:/Users/KHULEKANI/Desktop/mmb241/Lecture%20W12%20-%20Work%20and%20Energy.pdf ||! Draw | IA | a | Ask Copilot Class Work + 33 of 34 D Question 1 The engine of a 3500-N car is generating a constant power of 50 hp (horsepower) while the car is traveling up the slope with a constant speed. If the engine is operating with an efficiency of € 0.8, determine the speed of the car. Neglect drag and rolling resistance. Use g 9.81 m/s² and 1 hp = 745.7 W. 10 го Question 2 A man pushes on a 60-N crate with a force F. The force is always directed downward at an angle of 30° from the horizontal, as shown in the figure. The magnitude of the force is gradually increased until the crate begins to slide. Determine the crate's initial acceleration once it starts to move. Assume the coefficient of static friction is μ = 0.6, the coefficient of kinetic…

Find the value of V0 using the superposition method. Note: The answer is V0=-428.57mv

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