Question: In the following mechanical system a velocity input, v(t) = 6 fort 2: 0, is applied as illustmted. (a) Wrile the system's differential equation in

In the following mechanical system a velocity input, v(t) = 6 fort 2: 0, is applied as illustmted.

(a) Wrile the system's differential equation in tenns of the velocity v1 (t).

(b) What is the time constant T and the steady state velocity u1ss for the system?

(c) Given the infor-mation: v 1 (0) = 10, b1 = b2 = b3 = 1 and m = 1, obtain the system response.

(d) Sketch the system Tcsponse.

(e) Solve the same differential eq1wtion in

(a) with the data in (c), by using Laplace transforms.
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