International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN: 9781305501607
Author: Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
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Textbook Question
Chapter 2, Problem 2.70P
If the couple applied to the steering wheel is to have the magnitude
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For the walking-beam mechanism shown in Figure 3, find and plot the x and y coordinates of the
position of the coupler point P for one complete revolution of the crank O2A. Use the coordinate
system shown in Figure 3. Hint: Calculate them first with respect to the ground link 0204 and
then transform them into the global XY coordinate system.
y
-1.75
Ꮎ
Ꮎ
4
= 2.33
0242.22
L4
x
AP = 3.06
L2 = 1.0
W2
31°
B
03 L3 = 2.06
P
1
8
5
.06
6
7
P'
The link lengths, gear ratio (2), phase angle (Ø), and the value of 02 for some geared five bar
linkages are defined in Table 2. The linkage configuration and terminology are shown in Figure
2. For the rows assigned, find all possible solutions for angles 03 and 04 by the vector loop
method. Show your work in details: vector loop, vector equations, solution procedure.
Table 2
Row
Link 1 Link 2
Link 3
Link 4
Link 5
λ
Φ
Ө
a
6
1
7
9
4
2
30°
60°
P
y 4
YA
B
b
R4
R3
YA
A
Gear ratio:
a
02
d
05
r5
R5
R2
Phase angle: = 0₂-202
R1
05
02
r2
Figure 2.
04
X
Problem 4
A .025 lb bullet C is fired at end B of the 15-lb slender bar AB. The
bar is initially at rest, and the initial velocity of the bullet is 1500 ft/s
as shown. Assuming that the bullet becomes embedded in the bar,
find (a) the angular velocity @2 of the bar immediately after impact,
and (b) the percentage loss of kinetic energy as a result of the impact.
(c) After the impact, does the bar swing up 90° and reach the
horizontal? If it does, what is its angular velocity at this point?
Answers: (a). @2=1.6 rad/s; (b). 99.6% loss
=
(c). Ah2 0.212 ft. The bar does not reach horizontal.
y
X
4 ft
15 lb
V₁
1500 ft/s
0.025 lb
C
30°7
B
A
Chapter 2 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
Ch. 2 - Â Which of the force system shown are equivalent...Ch. 2 - Two men are trying to roll the boulder by applying...Ch. 2 - The magnitudes of the three forces applied to the...Ch. 2 - Replace the three forces by a single equivalent...Ch. 2 - Replace the three forces with a single equivalent...Ch. 2 - The forces P1=110lb,P2=200lb, and P3=150lb are...Ch. 2 - Determine the magnitudes of the three forces...Ch. 2 - The magnitudes of the three forces acting on the...Ch. 2 - Determine the three forces acting on the plate...Ch. 2 - The force R is the resultant of the forces P1,P2,...
Ch. 2 - Knowing that the resultant of the two forces is...Ch. 2 - Knowing that the forces P and Q are equivalent to...Ch. 2 - Three ropes support the weight at A. The tension...Ch. 2 - Find the forces Q1,Q2, and Q3 so that the two...Ch. 2 - The man exerts a force P of magnitude 40 1b on the...Ch. 2 - The three forces acting on the beam can be...Ch. 2 - The trapdoor is held in the horizontal plane by...Ch. 2 - Replace the three forces acting on the guy wires...Ch. 2 - The horizontal boom carries the weight W=108lb at...Ch. 2 - The three forces, each of magnitude F, are applied...Ch. 2 - Determine the resultant force R that is equivalent...Ch. 2 - Determine the magnitude and sense of the moment of...Ch. 2 - Find the magnitude and sense of the moment of the...Ch. 2 - Two forces of magnitude P each act on the beam....Ch. 2 - A force P in the xy-plane acts on the triangular...Ch. 2 - A force P in the xy-plane acts on the triangular...Ch. 2 - Determine the moment of the force F=9i+18jlb about...Ch. 2 - Given that T=43kN and W=38kN, determine the...Ch. 2 - A moment of 50lbft about O is required to loosen...Ch. 2 - Determine the moment of the force F about point A...Ch. 2 - The resultant of the two forces shown has a line...Ch. 2 - The tow truck's front wheels will be lifted off...Ch. 2 - The force F acts on the gripper of the robot arm....Ch. 2 - Given that the magnitude of the moment of P about...Ch. 2 - The magnitude of the force P is 160 N. Determine...Ch. 2 - The magnitude of the force Q Determine the moments...Ch. 2 - The magnitude of the moment of force P about point...Ch. 2 - The magnitude of the force P is 50 kN. Determine...Ch. 2 - Determine the combined moment of the two forces...Ch. 2 - Find the combined moment of the forces P and Q...Ch. 2 - The wrench is used to tighten a nut on the wheel....Ch. 2 - The magnitudes of the two forces shown are P=16lb...Ch. 2 - The moment of the force F=50i100j70klb about point...Ch. 2 - Determine the magnitude of the moment of the 150-N...Ch. 2 - The combined moment of the two forces, each of...Ch. 2 - The force F=2i12j+5klb acts along the line AB....Ch. 2 - Calculate the combined moment of the three forces...Ch. 2 - Determine the moment of the force F=40i+30j+20kkN...Ch. 2 - Determine the moment of the 400-lb force about...Ch. 2 - The magnitude of the force F is 55 lb. Calculate...Ch. 2 - The force F=18i12j+10kN is applied to the gripper...Ch. 2 - The legs of the tripod have equal lengths. The...Ch. 2 - Determine the moment of the force F=40i8j+5kN...Ch. 2 - To lift the table without tilting, the combined...Ch. 2 - The combined moment of the three forces is zero...Ch. 2 - The trap door is held open by the rope AB. If the...Ch. 2 - The forces P and Q act on the handles of the...Ch. 2 - The magnitude of the force P is 360 N. Determine...Ch. 2 - The combined moment of P and the 20-lb force about...Ch. 2 - Determine the magnitude of the force F given that...Ch. 2 - The force F of magnitude 200Â NÂ isÂ...Ch. 2 - Calculate the moment of the force P about the axis...Ch. 2 - The force systems in Figs. (a) and (b) have the...Ch. 2 - The force F=F(0.6i+0.8j)kN is applied to the frame...Ch. 2 - Determine the combined moment of the four forces...Ch. 2 - The flexible shaft AB of the wrench is bent into a...Ch. 2 - The magnitude of the force F is 180 lb. Find the...Ch. 2 - Which of the systems are equivalent to the couple...Ch. 2 - Which of the systems are equivalent to the couple...Ch. 2 - If the couple applied to the steering wheel is to...Ch. 2 - Determine the magnitude of the couple shown.Ch. 2 - Determine the couple-vector that is equivalent to...Ch. 2 - Calculate the combined moment of the couple C and...Ch. 2 - Determine the couple-vector that is equivalent to...Ch. 2 - The two forces of magnitude F=30kN form a couple....Ch. 2 - The couple acts on the handles of a steering...Ch. 2 - The force system acting on the plate is equivalent...Ch. 2 - A couple of magnitude 3601b ft is applied about...Ch. 2 - The arm ABCD of the industrial robot lies in a...Ch. 2 - The figure shows one-half of a universal coupling...Ch. 2 - The steering column of the rack-and-pinion...Ch. 2 - Which of the systems are equivalent to the...Ch. 2 - A 15-lb force acts at point A on the high-pressure...Ch. 2 - The bracket, which is fastened to a wall by anchor...Ch. 2 - Replace the three forces applied to the beam by an...Ch. 2 - Replace the two forces shown by a force-couple...Ch. 2 - The figure shows a schematic of a torsion-bar...Ch. 2 - Replace the 250-N force with an equivalent...Ch. 2 - The magnitude of the force F acting at point A on...Ch. 2 - Replace the force-couple system acting on the pipe...Ch. 2 - (a) Replace the force F=2800i+1600j+3000klb acting...Ch. 2 - Determine the force-couple system, with the force...Ch. 2 - Replace the force F and the couple C with an...Ch. 2 - The moment of the force P about the axis AB is...Ch. 2 - Replace the force and the couple shown with an...Ch. 2 - The tensions in the cables supporting the pole are...Ch. 2 - The force acting at A is F=10i+20j5kkN. Knowing...Ch. 2 - The magnitude of the moment of the force P about...Ch. 2 - Calculate the couple-vector formed by the two...Ch. 2 - The magnitudes of the force P and couple C are...Ch. 2 - The resultant force of the three cable tensions...Ch. 2 - The force-couple system shown is equivalent to the...Ch. 2 - Replace the two forces shown with an equivalent...Ch. 2 - The three forces of magnitude P can be replaced by...Ch. 2 - Knowing that the two forces shown can be replaced...Ch. 2 - The trapdoor is held in the position shown by two...Ch. 2 - The force system consists of the force...Ch. 2 - The force system shown can be replaced with a...
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