the Laplace Transform 1 (s+2)(s+5) The corr be form:
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To determine the Inverse Laplace of 1/(s+2)(s+5)
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- Consider the thermocouple properties you found in the question "Temperature of a thermocouple (1/3)" If the thermocouple is initially outside of the bath at room temperature (20 °C), what is the maximum temperature it will register if it's instantaneously inserted into the batch (55 °C) for 18 seconds and then removed? Use an inverse Laplace transform to find the solution. a. 32.68 °C b. 44.97 °C c. 64.97 °C d. 12.68 °Claplace transformFind the Inverse Laplace Transform
- Derive the governing differential equation for each system with the chosen generalized coordinate. SEE THE IMAGE BELOW Answers: 1. GDE: (5/2) mẍ + (5/4) kx = 0 2. GDE: (7/48) mL² ϴ [note: theta symbol has two dots above) + (3/8) cL² ϴ [ note: theta symbol has one dot above] + 5 kL² ϴ = 0OBLEM 4. Using the condition (3.027) of Lect. 16, prove that the mo- mentum operator p is Hermitian. HINT: Use the periodic boundary conditions for the functions g(r) and s(x).sole using laplace transforms Do not answer in image format
- Solve the inverse kinematic problem for the following 6 DOF robot, using the method ofkinematic decouplingif it is known that its Denavit-Hartenberg parameters are as shown in the table inthe tableKnowing that u c(t) it is the unit step function, the inverse Laplace Transform of the function F(s)= e-s(s-2)/s2 - 4s +3 is: a) f(t) = u1(t) e2(t-1) cosh(t - 1) b) f(t) = u1(t) e2(t-1) cosh(t) c) None of the answers d) f(t) = u2(t) e2(t-1) cosh(t - 1) e) f(t) = u2(t) e2(t-1) cosh(t - 2)The response of a certain dynamic system is given by: x(t)=0.003 cos(30t) +0.004 sin(30r) m (5Mks) Determino: (i) the amplitude of motion. (2Mks) (ii) the period of motion. (in) the linear frequency in Hz. (4) the angular frequency in rad/s. (2Mks) (2Mks) (2Mks) (2Mks) (v) the frequency in cpm. (vi) the phase angle. (2Mks) (vii) the response of the system in the form of x(t) = X sin(t +$) m.
- Graph/Plot the output step response from t=0 to t=10 with a 0.1-second interval.Would you explain more about equations of motion and the Laplace transform in this question ?A system has the following characteristic equation: s+ s+ 3s+ 2s + 2 = 0 Using the Routh-Hurwitz method, checka. How many roots are to the right of the imaginary axis?b. Is the system stable?.