Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 6.4, Problem 77P
Determine the moment of inertia for the area about the y axis.
Probs. 6-76/77
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Students have asked these similar questions
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 6 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 6.1 - In each case, use the element shown and specify...Ch. 6.1 - Prob. 1FPCh. 6.1 - Determine the centroid (x,y) of the area. Prob....Ch. 6.1 - Determine the centroid y of the area. Prob. F63Ch. 6.1 - Locate the center of gravity x of the straight rod...Ch. 6.1 - Prob. 5FPCh. 6.1 - Locate the centroid z of the homogeneous solid...Ch. 6.1 - Locate the centroid x of the area. Prob. 61Ch. 6.1 - Locate the centroid of the area. Prob. 62Ch. 6.1 - Locate the centroid x of the area. Probs. 63/4
Ch. 6.1 - Locate the centroid y of the area. Probs. 63/4Ch. 6.1 - Locate the centroid x of the area. Probs. 65/6Ch. 6.1 - Locate the centroid y of the area. Probs. 65/6Ch. 6.1 - Prob. 7PCh. 6.1 - Prob. 8PCh. 6.1 - Locate the centroid x of the area. Solve the...Ch. 6.1 - Prob. 10PCh. 6.1 - Prob. 11PCh. 6.1 - Prob. 12PCh. 6.1 - Locate the centroid y of the area. Probs. 612/13Ch. 6.1 - Prob. 14PCh. 6.1 - Prob. 15PCh. 6.1 - Prob. 16PCh. 6.1 - Locate the centroid x of the area. Probs. 617/18Ch. 6.1 - Prob. 18PCh. 6.1 - Prob. 19PCh. 6.1 - Locate the centroid x of the area. Probs. 620/21Ch. 6.1 - Locate the centroid y of the area. Probs. 620/21Ch. 6.1 - Locate the centroid x of the area. Probs. 622/23Ch. 6.1 - Prob. 23PCh. 6.1 - Prob. 24PCh. 6.1 - Prob. 25PCh. 6.1 - Prob. 26PCh. 6.1 - Prob. 27PCh. 6.1 - The steel plate is 0.3 m thick and has a density...Ch. 6.1 - Prob. 29PCh. 6.1 - Prob. 30PCh. 6.1 - Prob. 31PCh. 6.1 - Prob. 32PCh. 6.1 - Prob. 33PCh. 6.1 - Locate the centroid z of the volume. Prob. 634Ch. 6.1 - Prob. 35PCh. 6.2 - Locate the centroid (x,y,z) of the wire bent in...Ch. 6.2 - Locate the centroid y of the beams cross-sectional...Ch. 6.2 - Locate the centroid y of the beams cross-sectional...Ch. 6.2 - Prob. 10FPCh. 6.2 - Prob. 11FPCh. 6.2 - Prob. 12FPCh. 6.2 - Locate the centroid (x,y) of the area. Prob. 636Ch. 6.2 - Locate the centroid y for the beams...Ch. 6.2 - Locate the centroid y of the beam having the...Ch. 6.2 - Locate the centroid (x,y) of the area. Prob. 639Ch. 6.2 - Locate the centroid y of the beams cross-sectional...Ch. 6.2 - Locate the centroid (x,y) of the area. Prob. 641Ch. 6.2 - Locate the centroid (x,y) of the area. Prob. 642Ch. 6.2 - Prob. 43PCh. 6.2 - Locate the centroid y of the cross-sectional area...Ch. 6.2 - Prob. 45PCh. 6.2 - Prob. 46PCh. 6.2 - Prob. 47PCh. 6.2 - Prob. 48PCh. 6.2 - Prob. 49PCh. 6.2 - Prob. 50PCh. 6.2 - Prob. 51PCh. 6.2 - Locate the center of gravity z of the assembly....Ch. 6.2 - Major floor loadings in a shop are caused by the...Ch. 6.2 - The assembly consists of a 20-in. wooden dowel rod...Ch. 6.2 - The composite plate is made from both steel (A)...Ch. 6.4 - Determine the moment of inertia of the area about...Ch. 6.4 - Prob. 14FPCh. 6.4 - Prob. 15FPCh. 6.4 - Determine the moment of inertia of the area about...Ch. 6.4 - Prob. 56PCh. 6.4 - Prob. 57PCh. 6.4 - Prob. 58PCh. 6.4 - Prob. 59PCh. 6.4 - Determine the moment of inertia for the area about...Ch. 6.4 - Determine the moment of inertia for the area about...Ch. 6.4 - Prob. 62PCh. 6.4 - Prob. 63PCh. 6.4 - Prob. 64PCh. 6.4 - Prob. 65PCh. 6.4 - Prob. 66PCh. 6.4 - Prob. 67PCh. 6.4 - Prob. 68PCh. 6.4 - Prob. 69PCh. 6.4 - Prob. 70PCh. 6.4 - Prob. 71PCh. 6.4 - Prob. 72PCh. 6.4 - Prob. 73PCh. 6.4 - Prob. 74PCh. 6.4 - Prob. 75PCh. 6.4 - Prob. 76PCh. 6.4 - Determine the moment of inertia for the area about...Ch. 6.4 - Determine the moment of inertia for the area about...Ch. 6.4 - Prob. 79PCh. 6.5 - Determine the moment of inertia of the...Ch. 6.5 - Determine the moment of inertia of the...Ch. 6.5 - Prob. 19FPCh. 6.5 - Determine the moment of inertia of the...Ch. 6.5 - Determine the moment of inertia of the composite...Ch. 6.5 - Determine the moment of inertia of the composite...Ch. 6.5 - Prob. 82PCh. 6.5 - Determine the location y of the centroid of the...Ch. 6.5 - Determine y, which locates the centroidal axis x...Ch. 6.5 - Prob. 85PCh. 6.5 - Prob. 86PCh. 6.5 - Determine the moment of inertia Ix of the area...Ch. 6.5 - Determine the moment of inertia Ix of the area...Ch. 6.5 - Determine the moment of inertia of the...Ch. 6.5 - Determine y, which locates the centroidal axis x...Ch. 6.5 - Determine the moment of inertia of the...Ch. 6.5 - Determine the moment of inertia of the...Ch. 6 - Locate the centroid x of the area.Ch. 6 - Locate the centroid y of the area.Ch. 6 - Locate the centroid of the rod.Ch. 6 - Prob. 4RPCh. 6 - Determine the moment of inertia for the area about...Ch. 6 - Prob. 6RPCh. 6 - Determine the area moment of inertia of the...
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