Question: Please do both questions with clear step by step answers. Please write the method used in these questions with clear handwriting. 16) An RLC circuit

Please do both questions with clear step by step answers.

Please write the method used in these questions with clear handwriting.

16) An RLC circuit has R = 6 0, L = 1 H, C = =F, and E = 50 sin 2 t Vwith initial conditions /(0) = 0 A and/'(0) = 1 A. a) Find the transient current of the RLC circuit. b) What is the steady-state current of the RLC circuit? 17) A mass weighing 32-Ibs stretches a spring 6.4 ft. Suppose that the mass is displaced an additional 1 ft in the positive direction and then released. The mass is in a medium that exerts a viscous resistance of 40-Ibs when the mass has a velocity of 10 ft/sec. a) Under the assumptions discussed in class and in your book, formulate the initial value problem that governs the motion of the mass. (That is to set up the differential equation and state the initial values) b) What is its position at time t = = second

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