CONTROL SYSTEMS ENGINEERING
7th Edition
ISBN: 9781119185666
Author: NISE
Publisher: WILEY
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Chapter 6, Problem 1RQ
To determine
The part of output response which tells about the stability of a system
Expert Solution & Answer
Explanation of Solution
The complete response of a system consists of mainly two parts:
- Natural response
- Forced response
Since for BIBO (bounded input and bounded output) stability one response should be of some finite value at some finite time which is the case with natural response. So, the part of output response which tells about the stability of a system is natural response of a system. It is responsible for determining a stability of a system.
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6. A part of the structure for a factory automation system is
a beam that spans 30.0 in as shown in Figure P5-6. Loads
are applied at two points, each 8.0 in from a support. The
left load F₁ = 1800 lb remains constantly applied, while
the right load F₂ = 1800 lb is applied and removed fre-
quently as the machine cycles. Evaluate the beam at both
B and C.
A
8 in
F₁ = 1800 lb
14 in
F2 = 1800 lb
8 in
D
RA
B
C
4X2X1/4
Steel
tube
Beam cross section
RD
30. Repeat Problem 28, except using a shaft that is rotating
and transmitting a torque of 150 N⚫m from the left bear-
ing to the middle of the shaft. Also, there is a profile key-
seat at the middle under the load.
28. The shaft shown in Figure P5-28 is supported by bear-
ings at each end, which have bores of 20.0 mm. Design
the shaft to carry the given load if it is steady and the
shaft is stationary. Make the dimension a as large as pos-
sible while keeping the stress safe. Determine the required
d = 20mm
D = ?
R = ?|
5.4 kN d=20mm
Length not
to scale
-a = ?-
+а=
a = ? +
-125 mm-
-250 mm-
FIGURE P5-28 (Problems 28, 29, and 30)
Chapter 6 Solutions
CONTROL SYSTEMS ENGINEERING
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