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- 1- Please, Derive Equation of Motion for the 2DOF system with Harmonic force due to the Shaker in the Magnetostrictive Energy Harvesting. Note: I want EOM in Matrices form to get Natural frequencies and mode shapes + Steady-State Response of Spring-Mass SystemFind the values of M and fv so that the response has an overshoot of 17 percent and a settling time of 10 seconds, given the translational mechanical system where K = 1 and f(t) is a unit step.Assume that the system recorded by the block diagram is reliable. a) Determine the position constant, kp, of velocity, kv, and of acceleration, ka, of the system. b) Determine the steady-state errors for a magnitude 5 input in step, ramp, and parabola, respectively.
- H6. You are planning a trip to a new high altitude space station. Your spacecraft is in an initial 200 km altitude circular earth orbit. Performing a Hohmann transfer compute: (a) the TOTAL delta-v required for a Hohmann transfer to a 1000 km altitude coplanar circular earth orbit. answer choices a. Dv = 445.38 m/sec b.Dv = 421.309 m/sec c.433.778 m/sec d. 220.00 m/secSolve for y(1.5) using Euler's Method or Runge-Kutta given the equationA circuit is constructed with an AC generator, a resistor, capacitor and inductor as shown. The generator voltage varies in time as ε = Va - Vb = εmsinωt, where εm = 120 V and ω = 429 radians/second. The values for the remaining circuit components are: R = 61 Ω, C = 426 μF. The value for L is unkown. What is known is that the voltage across the generator leads the current in the circuit by φ = 48 degrees. 1) What is t1, the first time after t = 0 when the magnitude of the voltage across the inductor is maximum? 4) What is VL,max, the magnitude of the maximum voltage across the inductor? 5) What is VL = Vb - Vc, the voltage across the inductor, at time t = 0? Note that VL is a signed number.
- Solve for y(1.5) using Euler's Method or Runge-Kutta given the equation: note typo: y should be y primeTwo generators rated at 2 pole,50 Hz 80 Mw 0.8 pf lag with moment of inertia40000 kg-m2 and 50 Hz, 100 Mw 0.8 pf lag with moment of inertia 10,000kgm2 are connected by a transmission line. Find the inertia constant of eachmachine and the inertia constant of single equivalent machine connected toinfinite bus. Take 100 MVA base.what would happen to the angular delay of Leading Power Factor if we change the capacitor to inductor? and What would happen to the angular delay of Lagging Power Factor if we change the inductor to capacitor?
- Q(s)=s4+3s3+27s2+75s+50. Find: Number of poles in the left-half plane? Number of poles in the jw-axis? Number of poles in the right-half plane? State of system is stable/unstable/marginally stableWhat are two ways of reducing Z0? (last part of the question)Find io(t) if vs(t)=400sin2500tV. Suppose that io(t)=I0cos(ωt+ϕ), where −180∘<ϕ≤180∘. Determine the values of I0, ω, and ϕ. Express your answers using three significant figures separated by commas. Enter I0 in amperes, ω in radians per second, and ϕ in degrees.