4. Use Mesh Analysis to Solve: R₁- R₂- R₁ = 1KS; R-Rs-1KS; and V₁-5V; and I,-10mA. R₁ R₂ R Ra (a) Write your initial (Kirchoff's Laws, Constraints) for each mesh in variable form. School of Engineering MEE 205 - FL'24 Dr. Krishna B Kidambi Department of Mechanical and Aerospace (b) Write the Ohm's Law replacement for each of the Kirchoff's Law equations in variable form. (c) Write the AX-B matrix in variable form

X= 0 Y=6  can you please help me with parts 1,2,3 and 4 of this question

What are interpoles, and what is their purpose?

4) We usually think of wires as perfect (R=0) conductors, which is not quite accurate. Real wires have resistance albeit small - usually less than an ohm. With this in mind: a. Consider a uniform cylindrical copper wire that has diameter of 1 mm and is 10 m long. What is the resistance of this wire? The resistivity of copper is 1.72 x 10-8 9-m. b. This wire is cut in half, and the two strands are used to connect an electric heater to an outlet supplying 1500 W at 120 V. Draw a simple circuit diagram, including the voltage source, resistances of the connector wires, and the calculated resistance for the heater. C. How much of the total 1500 W is absorbed by the connector wires, not by the electric heater? d. If the specific heat and density of copper are 385 J/kg°C and 8940 kg/m³ respectively, how much will the connector wires heat up after 1 minute of use? (Assume all energy absorbed by the connector wires is converted to heat and remains in the copper wire.) Remember that E cmAT,…

30. For each of the rotational mechanical systems shown in Figure P2.16, write, but do not solve, the equations of motion. [Section: 2.6] T() 0() I N-m-s/rad 78 N-m-s/rad kg-m2 000 kg-m2 3N-m/rad 9N-m/rad (a)

SUBJECT: The fuel-cost functions for three thermal plants in $/h are given by: C = 500 + 5.3P, + 0.004P? C2 = 400 + 5.5P2 + 0.006P C3 = 200 + 5.8P3 + 0.009P? %3| Find the optimal dispatch (P1, P2 and P3) and the total cost (C:) in $/h for the thermal plants, with the following generator limits (in MW): 200 < P, < 450 150 < P2 < 350 100 < P3 < 225 (1) By analytical technique. when the total load PD=800 MW. (2) Using Iterative method, when the total load PD=975 MW. Start with an initial estimate of 2= 6 $/MWh. (3) Give the necessary conditions to obtain an optimal dispatch for this system.

P6,17 The goal of vertical takeoff and landing (VFOL) aircraft is to achieve operation froms relatively sal airports and yet opernte as a neormal airennft in level flight [17]. An aircraft taking off in a form similar to a missite (on end) is inherently unstable (see Example 3.4 for a discussion of the inverted pendulum). A con- tro! systeni using adjustable jets can control the vehi- cle. as shown in Figute l'6.17. (a) Determine the range of gain for which the system is slable, (b) Determine the gain K tor which the system is marginally stable Bnd the roota of the charucteristic equation for this value of K. FIGURE P6.17 Control of a jump- jet aircraft. R(s) Controller Aircraft dynamics Y(.s) Desired K(s + 2) Actual vcrtical s+ 10 s(s – 1) vertical path path

Please write all details and properties. I would much appreciate it a lot. Any property or remark, regardless of how insignificant, please include in the answer. Thank you very much.