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PROBLEM 15.157
The motion of pin P is guided by slots cut in rods AD and BE.
Knowing that bar AD has a constant angular velocity of 4 rad/s
clockwise and bar BE has an angular velocity of 5 rad/s
counterclockwise and is slowing down at a rate of 2 rad/s2,
determine the velocity of P for the position shown.
PROBLEM 15.157 (Continued)
PROBLEM 15.158
Four pins slide in four separate slots cut in a circular plate as shown. When
the plate is at rest, each pin has a velocity directed as shown and of the
same constant magnitude u. If each pin maintains the same velocity relative
to the plate when the plate rotates about O with a constant
counterclockwise angular velocity
,
ω
determine the acceleration of each
pin.
PROBLEM 15.159
Solve Problem 15.158, assuming that the plate rotates about O with a
constant clockwise angular velocity
.ω
PROBLEM 15.158 Four pins slide in four separate slots cut in a circular
plate as shown. When the plate is at rest, each pin has a velocity directed as
shown and of the same constant magnitude u. If each pin maintains the
same velocity relative to the plate when the plate rotates about O with a
constant counterclockwise angular velocity
,
ω
determine the acceleration
of each pin.
PROBLEM 15.160
The cage of a mine elevator moves downward at a constant speed of 12.2 m/s. Determine the magnitude and
direction of the Coriolis acceleration of the cage if the elevator is located (a) at the equator, (b) at latitude
40°
north, (c) at latitude
40°
south.
( )
( )
( )
( )
3
1.7794 10 cos
f
−
= ×
k
(
a)
0 , cos 1.000
ff
=°=
32
1.779 10 m/s west
c−
= ×a
(
b)
40 , cos 0.76604
ff
=°=
32
1.363 10 m/s west
c−
= ×a
(
c)
40 , cos 0.76604
ff
=−° =
32
1.363 10 m/s west
c−
= ×a
PROBLEM 15.161
Pin P is attached to the collar shown; the motion of the pin is guided by
a slot cut in bar BD and by the collar that slides on rod AE. Rod AE
rotates with a constant angular velocity of 6 rad/s clockwise and the
distance from A to P increases at a constant rate of 8 ft/s. Determine at
the instant shown (a) the angular acceleration of bar BD, (b) the relative
acceleration of pin P with respect to bar BD.
PROBLEM 15.161 (Continued)
Acceleration of P relative to rod AE.
/0
P AE =a
Coriolis acceleration.
()( )
( )
2
/
2 2 6 8 96 ft/s
AE P AE
× = − ×=
v kj iω
PROBLEM 15.162
A rocket sled is tested on a straight track that is built along a meridian. Knowing that the track is located at
latitude
40°
north, determine the Coriolis acceleration of the sled when it is moving north at a speed of 900 km/h.
PROBLEM 15.163
Solve the Geneva mechanism Sample Prob. 15.20 using vector
algebra.
SAMPLE PROBLEM 15.20 In the Geneva mechanism of Sample
Prob. 15.9, disk D rotates with a constant counterclockwise angular
velocity
D
ω
of 10 rad/s. At the instant when
150
f
= °
, determine the
angular acceleration of S.
PROBLEM 15.163 (Continued)
