(a) s²+2s +1' (b) 22. The input x and output y of a system are described by: $²+7s + 12' dy dx + 2y = x (c) s² + s +1 Determine how the output will vary with time when there is an input which starts at zero time and then increases at the constant rate of 6 units/s. The initial output is zero. 23 The innut

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15. A system nas a transrer runction or 57(5+3). What will be its output as a runction or time when subject to (a
a unit step input of 1 V and (b) a unit impulse input of 1 V?
+
16. A system has a transfer function of 2/(s + 1). What will be its output as a function of time when subject to (a)
a step input of 3 V and (b) an impulse input of 3 V?
17. A system has a transfer function of 1/(s+2). What will be its output as a function of time when subject to (a)
a step input of 4 V and (b) a ramp input unit impulse of 1 V/s?
18. Use partial fractions to simplify the following expressions:
19. A system has a transfer function of:
S-6
(a)
(s-1(s-2)'
(b)
8(s+3)(s+8)
(s+2)(s+4)
(a)
What will be the output as a time function when it is subject to a unit step input? Hint: use partial
fractions.
20. A system has a transfer function of:
G(s) =
O Search
s+5
s2+3s +2' (c)
What will be the output from the system when it is subject to a unit impulse input? Hint: use partial
fractions.
1
s² +2s+1; (b);
22. The input x and output y of a system are described by:
dy
dx
8(s + 1)
(s+2)²
21. What will be the state of damping of systems having the following transfer functions and subject to a unit
step input?
1
s²+7s+12'
+ 2y = x
d²y +3 dy
df² dx
2s 1
(s+1)²
If initially the input and output are zero, what will
24. The input x and output y of a system are described by:
GX
(c)
Determine how the output will vary with time when there is an input which starts at zero time and then
increases at the constant rate of 6 units/s. The initial output is zero.
23. The input x and output y of a system are described by:
1
s²+s+1
d²y dy
+4- + 3y = xx
df2 dx
b
+ 2y = x
the output when there is a unit step input?
Transcribed Image Text:WGS S om/Downloads/instrumentation-and-control-systems-3nbsped-0128234717-9780128234716_compress.pdf CD Page view A Read aloud Add textDraw .......… Highlight 15. A system nas a transrer runction or 57(5+3). What will be its output as a runction or time when subject to (a a unit step input of 1 V and (b) a unit impulse input of 1 V? + 16. A system has a transfer function of 2/(s + 1). What will be its output as a function of time when subject to (a) a step input of 3 V and (b) an impulse input of 3 V? 17. A system has a transfer function of 1/(s+2). What will be its output as a function of time when subject to (a) a step input of 4 V and (b) a ramp input unit impulse of 1 V/s? 18. Use partial fractions to simplify the following expressions: 19. A system has a transfer function of: S-6 (a) (s-1(s-2)' (b) 8(s+3)(s+8) (s+2)(s+4) (a) What will be the output as a time function when it is subject to a unit step input? Hint: use partial fractions. 20. A system has a transfer function of: G(s) = O Search s+5 s2+3s +2' (c) What will be the output from the system when it is subject to a unit impulse input? Hint: use partial fractions. 1 s² +2s+1; (b); 22. The input x and output y of a system are described by: dy dx 8(s + 1) (s+2)² 21. What will be the state of damping of systems having the following transfer functions and subject to a unit step input? 1 s²+7s+12' + 2y = x d²y +3 dy df² dx 2s 1 (s+1)² If initially the input and output are zero, what will 24. The input x and output y of a system are described by: GX (c) Determine how the output will vary with time when there is an input which starts at zero time and then increases at the constant rate of 6 units/s. The initial output is zero. 23. The input x and output y of a system are described by: 1 s²+s+1 d²y dy +4- + 3y = xx df2 dx b + 2y = x the output when there is a unit step input?
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