PROBLEM 15.176
Knowing that at the instant shown the rod attached at A has an
angular velocity of 5 rad/s counterclockwise and an angular
acceleration of 2 rad/s2 clockwise, determine the angular velocity and
the angular acceleration of the rod attached at B.
PROBLEM 15.176 (Continued)
PROBLEM 15.177
The Geneva mechanism shown is used to provide an
intermittent rotary motion of disk S. Disk D rotates with a
constant counterclockwise angular velocity
D
ω
of 8 rad/s. A
pin P is attached to disk D and can slide in one of the six
equally spaced slots cut in disk S. It is desirable that the
angular velocity of disk S be zero as the pin enters and leaves
each of the six slots; this will occur if the distance between the
centers of the disks and the radii of the disks are related as
shown. Determine the angular velocity and angular
acceleration of disk S at the instant when
150 .
f
= °
PROBLEM 15.177 (Continued)
Equate the two expressions for
P
v
and resolve into components.
: 1.54914 10cos(30 )
S
βω β
= °+
10cos53.794
1.54914
3.8130 rad/s
S
ω
°
=
=
3.81 rad/s
=ω
PROBLEM 15.178
In Problem 15.177, determine the angular velocity and
angular acceleration of disk S at the instant when
135 .
f
= °
PROBLEM 15.177 The Geneva mechanism shown is used
to provide an intermittent rotary motion of disk S. Disk D
rotates with a constant counterclockwise angular velocity
D
ω
of 8 rad/s. A pin P is attached to disk D and can slide in
one of the six equally spaced slots cut in disk S. It is
desirable that the angular velocity of disk S be zero as the pin
enters and leaves each of the six slots; this will occur if the
distance between the centers of the disks and the radii of the
disks are related as shown. Determine the angular velocity
and angular acceleration of disk S at the instant when
150 .
f
= °
PROBLEM 15.178 (Continued)
Motion of disk D. (Rotation about B)
( ) (1.25)(8) 10 in./s
PD
BP
ω
= = =v
30°
[( )
BP
α
=a
2
45 ] [( ) S
BP
ω
°+
2
45 ] 0 [(1.25)(8)
°= +
45 ]°
P
: 1.84203 2 80sin (45 )
SS
u
β αω β
− = °+
2
80sin73.675 (2)(1.52595)(9.5968)
1.84203
S
α
°+
=
2
S
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PROBLEM 15.179
At the instant shown, bar BC has an angular velocity of 3 rad/s
and an angular acceleration of
2
2 rad/s ,
both counterclockwise.
Determine the angular acceleration of the plate.
PROBLEM 15.179 (Continued)
PROBLEM 15.180
At the instant shown bar BC has an angular velocity of 3 rad/s and
an angular acceleration of
2
2 rad/s ,
both clockwise. Determine
the angular acceleration of the plate.
PROBLEM 15.180 (Continued)
Plate:
2
//
2
(4 3 ) (3) (4 3 )
3 4 36 27
PP
B P BD P BD
P
PP
α
ω
α
αα
′
=
=×−
= ×+− +
=− + −−
k
a rr
k ij ij
i jij
α
α