Question

Find F(t) for each of the following function

F(s) = 320/s²(s +8)
Find the poles and zeros for the s-domain functions in Problems 12.42 (b) and 12.42

Answer 1

To find F(t) for the given function and determine the poles and zeros of the s-domain function, we need to factorize the denominator and set it equal to zero. The poles of F(s) are 0 and -8, and there are no zeros.

Step-by-step explanation:

F(t) can be found by taking the inverse Laplace transform of F(s). To find the poles and zeros of the s-domain function, we need to factorize the denominator of F(s) and set it equal to zero to find the poles.

F(s) = 320/s²(s + 8)

The denominator factorizes as s(s + 8). Setting s equal to zero gives us one pole, s = 0. Setting s + 8 equal to zero gives us another pole, s = -8. So, the poles of F(s) are 0 and -8, and there are no zeros.