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PROBLEM 18.56
Determine the rate of change G
H
of the angular momentum
G
H
of
the plate of Problem 18.2.
PROBLEM 18.2 A thin rectangular plate of weight 15 lb rotates about
its vertical diagonal AB with an angular velocity
. Knowing that the
z axis is perpendicular to the plate and that
is constant and equal to
5 rad/s, determine the angular momentum of the plate about its mass
center G.
PROBLEM 18.56 (Continued)
PROBLEM 18.57
Determine the rate of change D
H
of the angular momentum
D
H of the assembly of Problem 18.3.
PROBLEM 18.3 Two uniform rods AB and CE, each of weight
3 lb and length 2 ft, are welded to each other at their midpoints.
Knowing that this assembly has an angular velocity of constant
magnitude
12 rad/s, determine the magnitude and direction
of the angular momentum HD of the assembly about D.
PROBLEM 18.58
Determine the rate of change A
H
of the angular momentum
HA of the disk of Problem 18.4.
PROBLEM 18.4 A homogeneous disk of weight 6lbW
rotates at the constant rate 116
rad/s with respect to arm
ABC, which is welded to a shaft DCE rotating at the constant
rate 28 rad/s.
Determine the angular momentum A
H of the
disk about its center A.
PROBLEM 18.59
Determine the rate of change C
H
of the angular momentum C
H of
the disk of Problem 18.5.
PROBLEM 18.5 A thin disk of mass 4kgm rotates at the constant
rate 215 rad/s
with respect to arm ABC, which itself rotates at the
constant rate 15rad/s
about the y axis. Determine the angular
momentum of the disk about its center C.
PROBLEM 18.60
Determine the rate of change
G
H
of the angular momentum
H
G
of the disk of Prob. 18.8 for an arbitrary value of
,
knowing that its angular velocity
remains constant.
PROBLEM 18.61
Determine the rate of change D
H
of the angular momentum H
D
of the assembly of Problem 18.3, assuming that at the instant
considered the assembly has an angular velocity
(12
rad/s)i
and an angular acceleration
2
(96 rad/s ) .
i
PROBLEM 18.62
Determine the rate of change
D
H
of the angular momentum H
D
of the assembly of Problem 18.3, assuming that at the instant
considered the assembly has an angular velocity
(12
rad/s)i
and an angular acceleration
2
(96 rad/s ) .i
PROBLEM 18.63
A thin homogeneous square of mass m and side a is welded to a vertical
shaft AB with which it forms an angle of
45 .
Knowing that the shaft
rotates with an angular velocity
j
and an angular acceleration
,
j
determine the rate of change A
H
of the angular momentum H
A
of
the plate assembly.
Copyright © McGraw-Hill Education. Permission required for reproduction or display.
PROBLEM 18.63 (Continued)
With respect to the fixed reference frame,
22
()
(3 2 ) (3 2 )
12 12
A A Axyz A
ma ma
HH H
jk j jk
22
(2 3 2 )
12
A
ma
Hijk
