978-0073398242 Chapter 15 Solution Manual Part 33

subject Type Homework Help
subject Pages 9
subject Words 1601
subject Authors Brian Self, David Mazurek, E. Johnston, Ferdinand Beer, Phillip Cornwell

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page-pf1
PROBLEM 15.227 (Continued)
(a) Velocity of Point D.
/
(0.75 m/s) (0.75 3 m/s) ( 3 m/s)
D D DF
D
= +
=+−
vvv
v i jk
page-pf2
PROBLEM 15.228
Manufactured items are spray-painted as
they pass through the automated work station
shown. Knowing that the bent pipe ACE
rotates at the constant rate
1
0.4 rad/s
ω
=
and
that at Point D the paint moves through the
150 mm/s,u=
determine, for the position
shown, (a) the velocity of the paint at D,
(b) the acceleration of the paint at D.
page-pf3
PROBLEM 15.229
Solve Problem 15.227, assuming that at the instant shown the angular
velocity
ω
1 of the plate is 10 rad/s and is decreasing at the rate of 25 rad/s2,
while the relative speed u of Point D of strap CD is 1.5 m/s and is decreasing
at the rate of 3 m/s2.
PROBLEM 15.227 The circular plate shown rotates about its vertical
diameter at the constant rate
110 rad/s.
ω
=
Knowing that in the position
shown the disk lies in the XY plane and Point D of strap CD moves upward at
a constant relative speed u
1.5 m/s,=
determine (a) the velocity of D, (b) the
acceleration of D.
page-pf4
PROBLEM 15.229 (Continued)
(a) Velocity of Point D.
/
(0.75 m/s) (0.75 3 m/s) ( 3 m/s)
D D DF
D
= +
=+−
vvv
v i jk
page-pf5
PROBLEM 15.230
Solve Prob. 15.225, assuming that at the instant shown the
angular velocity
1
ω
of the rod is 5 rad/s and is increasing at
the rate of 10
2
rad/s ,
while the relative speed u of the collar C
is 39 in./s and is decreasing at the rate of 260
2
in./s .
page-pf6
PROBLEM 15.231
Using the method of Section 15.7A, solve Problem 15.192.
PROBLEM 15.192 In the system shown, disk A is free to rotate about
the horizontal rod OA. Assuming that shaft OC and disk B rotate with
constant angular velocities
1
ω
and
2
,
ω
respectively, both
counterclockwise, determine (a) the angular velocity of A, (b) the
angular acceleration of disk A.
page-pf7
PROBLEM 15.231 (Continued)
Coefficient of j:
00
xx
R
ωω
= →=
page-pf8
PROBLEM 15.232
Using the method of Section 15.7A, solve Problem 15.196.
PROBLEM 15.196 A 3-in.-radius disk spins at the constant rate
ω
2
4=
rad/s about an axis held by a housing attached to a
horizontal rod that rotates at the constant rate
1
5
ω
=
rad/s.
Knowing that
30 ,
θ
= °
determine the acceleration of Point P on
the rim of the disk.
page-pf9
PROBLEM 15.233
Using the method of Section 15.7A, solve
Problem 15.198.
PROBLEM 15.198 At the instant shown, the
robotic arm ABC is being rotated simultaneously
at the constant rate
1
0.15
ω
=
rad/s about the y
axis, and at the constant rate
2
0.25
ω
=
rad/s
about the z axis. Knowing that the length of arm
ABC is 1 m, determine (a) the angular
acceleration of the arm, (b) the velocity of Point
C, (c) the acceleration of Point C.
page-pfa
PROBLEM 15.233 (Continued)
(b) Velocity of C.
/C C CF
= +
vvv

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