EBK MINDTAP FOR HERMAN'S UNDERSTANDING
4th Edition
ISBN: 9781337798761
Author: Herman
Publisher: VST
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Chapter 12, Problem 2RQ
To determine
The operation of the circuit shown in Figure 12-14 when the 1M normally opened contact located between the wire numbers 29 and 30 is replaced with normally closed contact.
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Fig. (2)
Q3-A (8 Marks): An automobile is modeled as a single-degree-of-freedom system vibrating in
the vertical direction. It is driven along a road whose elevation varies sinusoidally. The
distance from peak to trough is 0.2 m and the distance along the road between the peaks is 35
m. If the natural frequency of the automobile is 2 Hz and the damping ratio of the shock
absorbers is 0.15, determine the amplitude of vibration of the automobile at a speed of 60
km/hour
6.18
2.
Q4(15 Marks): The motor-pump system shown in Fig. 4. is modeled as a rigid bar of mass
m=50 kg and mass moment of inertia Jo=100 kg-m. The foundation of the system can be
replaced by two springs of stiffness k=500 N/m and k₂-200 N/m and L=1 m. Determine
the natural frequencies of the system.
Motor,
Fig. (4)
1
6(1)
Pump
C.G.
x(1)
x₁(1)
Base
(a)
Foundation
(b)
C.G. m, Jo
x2(1)
Q5(15 marks): Two equal pendulum free to rotate counterclockwise about the x-x axis are couple
together by a rubber hose of torsional stiffness K lb.in/rad.as shown in Fig.5. determine the natural
frequencies and mode shape for the normal modes of vibration. If L=19.3 in., W=3.86 lb, and
k=20 lb.in/rad. Note: J=mL2
X
(1)
m
2
mc²
2
X
Chapter 12 Solutions
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