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PROBLEM 18.84
The essential structure of a certain type of aircraft turn indicator is shown.
Each spring has a constant of 500 N/m, and the 200-g uniform disk of 40-mm
radius spins at the rate of 10,000 rpm. The springs are stretched and exert
equal vertical forces on yoke AB when the airplane is traveling in a straight
path. Determine the angle through which the yoke will rotate when the pilot
executes a horizontal turn of 750-m radius to the right at a speed of 800 km/h.
Indicate whether Point A will move up or down.
PROBLEM 18.84 (Continued)
PROBLEM 18.85
A slender rod is bent to form a square frame of side 6 in. The
frame is attached by a collar at A to a vertical shaft which
rotates with a constant angular velocity
.ω
Determine the value
of
for which line AB forms an angle
48
with the
horizontal x axis.
PROBLEM 18.86
A uniform square plate of side a 225 mm is hinged at points
A and B to a clevis which rotates with a constant angular
velocity
about a vertical axis. Determine (a) the constant
angle
that the plate forms with the horizontal x axis when
12 rad/s,
(b) the largest value of
for which the plate
remains vertical
90 .
PROBLEM 18.86 (Continued)
39.81
3
g
PROBLEM 18.87
A uniform square plate of side a 300 mm is hinged at points
A and B to a clevis which rotates with a constant angular
velocity
about a vertical axis. Determine (a) the value of
for which the plate forms a constant angle 60
with the
horizontal x axis, (b) the largest value of
for which the plate
remains vertical
90 .
PROBLEM 18.87 (Continued)
2
239.81
356.638 rad/s
g
PROBLEM 18.88
The 2-lb gear A is constrained to roll on the fixed gear B, but is free to
rotate about axle AD. Axle AD, of length 20 in. and negligible weight, is
connected by a clevis to the vertical shaft DE which rotates as shown
with a constant angular velocity 1.
Assuming that gear A can be
approximated by a thin disk of radius 4 in., determine the largest
allowable value of 1
if gear A is not to lose contact with gear B.
PROBLEM 18.88 (Continued)
PROBLEM 18.89
Determine the force F exerted by gear B on gear A of Prob. 18.88 when
shaft DE rotates with the constant angular velocity 14 rad/s. (Hint:
The force F must be perpendicular to the line drawn from D to C.)
