Question

A system defined by dy/dt + y = x is initially at rest, and x = u(t) sin 2t then the forced response is K sin (2t - θ). The value of θ given by

a.

-tan¯¹(1)

b.

-tan¯¹(2)

c.

-tan¯¹(1/2)

d.

0

Answer: (b). -tan¯¹(2)

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Q. A system defined by dy/dt + y = x is initially at rest, and x = u(t) sin 2t then the forced response is K sin (2t - θ). The value of θ given by

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