978-0073398242 Chapter 15 Solution Manual Part 32

subject Type Homework Help
subject Pages 9
subject Words 1814
subject Authors Brian Self, David Mazurek, E. Johnston, Ferdinand Beer, Phillip Cornwell

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page-pf1
PROBLEM 15.220
A flight simulator is used to train pilots on how to
recognize spatial disorientation. It has four degrees
of freedom, and can rotate around a planetary axis
as well as in yaw, pitch, and roll. The pilot is
seated so that her head B is located at r = 2i + 1j ft
with respect to the center of the cab A. Knowing
that the cab is rotating about the planetary axis with
a constant angular velocity of 20 rpm
counterclockwise as seen from above, and pitches
with a constant angular velocity of +3 k rad/s,
determine (a) the velocity of the pilot’s head, (b)
the angular acceleration of the cab, (c) the
acceleration of the pilot’s head.
page-pf2
PROBLEM 15.221
A flight simulator is used to train pilots on how to
recognize spatial disorientation. It has four degrees of
freedom, and can rotate around a planetary axis as well
as in yaw, pitch, and roll. The pilot is seated so that her
head B is located at r = 2i + 1j ft with respect to the
center of the cab A. The cab is rotating about the
planetary axis with an angular velocity of 20 rpm
counterclockwise as seen from above and is increasing
this by 1 rad/s2. Knowing that the cab rolls with a
constant angular velocity of -4 i rad/s, determine (a) the
velocity of the pilot’s head, (b) the angular acceleration
of the cab, (c) the acceleration of the pilot’s head.
page-pf3
PROBLEM 15.222
The rectangular plate shown rotates at the constant rate
2
12
ω
=
rad/s
with respect to arm AE, which itself rotates at the constant rate
19
w=
rad/s about the Z axis. For the position shown, determine the velocity and
acceleration of the point of the plate indicated.
Corner B.
page-pf4
PROBLEM 15.223
The rectangular plate shown rotates at the constant rate
2
12
ω
=
rad/s
with respect to arm AE, which itself rotates at the constant rate
19
ω
=
rad/s about the Z axis. For the position shown, determine the velocity and
acceleration of the point of the plate indicated.
Corner C.
page-pf5
PROBLEM 15.223 (Continued)
page-pf6
PROBLEM 15.224
Rod AB is welded to the 0.3-m-radius plate, which rotates at the
constant rate
ω
1 = 6 rad/s. Knowing that collar D moves toward end B
of the rod at a constant speed u = 1.3 m, determine, for the position
shown, (a) the velocity of D, (b) the acceleration of D.
page-pf7
PROBLEM 15.224 (Continued)
(b) Acceleration of D.
//
1 1/
2
/
/
2
()
6 (6 (0.2 0.20833 ))
(7.2 m/s )
0
2 (2)(6 ) ((1.2) (0.5) )
D D D AB D AB
D DC
D AB
DF
=+
=××
=×× +
=
=
×= × +
aaa Ωv
aω ωr
jj i j
i
a
Ωv j i j
2
22
page-pf8
PROBLEM 15.225
The bent rod shown rotates at the constant rate
1
ω
= 5
rad/s and collar C moves toward point B at a constant
relative speed u = 39 in./s. Knowing that collar C is
halfway between points B and D at the instant shown,
determine its velocity and acceleration.
page-pf9
PROBLEM 15.226
The bent pipe shown rotates at the constant rate
1
ω
= 10 rad/s. Knowing that a ball bearing D moves in
portion BC of the pipe toward end C at a constant
relative speed u = 2 ft/s, determine at the instant shown
(a) the velocity of D, (b) the acceleration of D.
page-pfa
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.

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