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750
*16–116.
The disk has an angular acceleration a
=
8 rad
>
s
2
and
angular velocity v
=3 rad>s
at the instant shown. If it does
not slip at A, determine the acceleration of point B.
C
A
B
0.5 m 45
45
fi
3 rad
/
s
fi 8 rad/s2
a
v
SOLUTION
751
16–117.
The disk has an angular acceleration a
=
8 rad
>
s
2
and
angular velocity v
=3 rad>s
at the instant shown. If it does
not slip at A, determine the acceleration of point C.
C
A
B
0.5 m 45
45
fi
3 rad
/
s
fi 8 rad/s2
a
v
752
16–118.
A single pulley having both an inner and outer rim is pin-
connected to the block at A. As cord CF unwinds from the
inner rim of the pulley with the motion shown, cord DE
unwinds from the outer rim. Determine the angular
acceleration of the pulley and the acceleration of the block
at the instant shown.
SOLUTION
E
D
CA
25 mm
50 mm
F
a
F
=3m/s
2
v
F
=2m/s
753
16–119.
SOLUTION
The wheel rolls without slipping such that at the instant
shown it has an angular velocity and angular acceleration
Determine the velocity and acceleration of point Bon
the rod at this instant.
A.
V
2aa
OA
B
,
va
754
*16–120.
The collar is moving downward with the motion shown.
Determine the angular velocity and angular acceleration
of the gear at the instant shown as it rolls along the fixed
gear rack.
60
500 mm
A
v 2 m/s
a 3 m/s2
755
16–121.
SOLUTION
Thetied crank and gear mechanism gives rocking motion to
crank AC,necessary for the operation of aprinting press.If
link DE has the angular motion shown, determine the
respective angular velocities of gear Fand crank AC at this
instant, and the angular acceleration of crank AC.
100 mm
DE
4rad/s
100 mm
75 mm
B
F
C
D
E
50 mm
v
756
SOLUTION
16–122.
If member AB has the angular motion shown, determine
the angular velocity and angular acceleration of member
CD at the instant shown.
vAB 3 rad/s
aAB 8 rad/s2
300 mm
A B
500 mm
757
16–122. Continued
758
SOLUTION
16–123.
If member AB has the angular motion shown, determine
the velocity and acceleration of point C at the instant
shown.
vAB 3 rad/s
aAB 8 rad/s2
300 mm
A B
500 mm
759
16–123. Continued
760
SOLUTION
*16–124.
The disk rolls without slipping such that it has an angular
acceleration of a
=
4 rad
>
s
2
and angular velocity of
v
=2 rad>s
at the instant shown. Determine the
acceleration of points A and B on the link and the link’s
angular acceleration at this instant. Assume point A lies on
the periphery of the disk, 150 mm from C.
v 2 rad/s
a 4 rad/s2
500 mm
400 mm
150 mm
C
B
A
761
16–125.
SOLUTION
The ends of the bar AB are confined to move along the
paths shown. At a given instant, Ahas a velocity of
and an acceleration of Determine
the angular velocity and angular acceleration of AB at this
instant.
aA=7ft>s2.vA=4ft>s
2ft
2ft
60
B
762
16–126.
The mechanism produces intermittent motion of link AB.If
the sprocket Sis turning with an angular acceleration
and has an angular velocity at
the instant shown, determine the angular velocity and
angular acceleration of link AB at this instant.The sprocket
Sis mounted on a shaft which is separate from a collinear
shaft attached to AB at A.The pin at Cis attached to one of
the chain links such that it moves vertically downward.
vS=6 rad>saS=2 rad>s2
SOLUTION
15
30
200mm
150mm
175mm
A
B
C
S
v
S
6rad/s
763
16–126. Continued
764
16–127.
SOLUTION
The slider block moves with a velocity of and an
acceleration of . Determine the angular
acceleration of rod AB at the instant shown.
aB=3ft>s2
vB=5ft>s
B
vB5ft/s
aB3ft/s
2
A
1.5 ft
2ft
30
765
*16–128.
The slider block moves with a velocity of and an
acceleration of . Determine the acceleration of
Aat the instant shown.
aB=3ft>s2
vB=5ft>s
SOLUTION
B
vB5ft/s
aB3ft/s2
A
1.5 ft
2ft
30
766
16–129.
At the instant shown, ball B is rolling along the slot in the
disk with a velocity of 600 mm
>
s and an acceleration of
150mm
>
s2, both measured relative to the disk and directed
away from O. If at the same instant the disk has the angular
velocity and angular acceleration shown, determine the
velocity and acceleration of the ball at this instant.
y
x
z
v 6 rad/s
a 3 rad/s2
0.4 m
0.8 m B
O
767
16–130.
The crane’s telescopic boom rotates with the angular
velocity and angular acceleration shown. At the same
instant, the boom is extending with a constant speed of
, measured relative to the boom. Determine the
magnitudes of the velocity and acceleration of point Bat
this instant.
0.5 ft>s
SOLUTION
B
A
30
60 ft
vAB 0.02 rad/s
aAB 0.01 rad/s2
Ans:
vB=1.30
ft>s
a
B=
0.6204
ft
>
s
2
768
16–131.
While the swing bridge is closing with a constant rotation of
a man runs along the roadway at a constant speed
of relative to the roadway. Determine his velocity and
acceleration at the instant d=15 ft.
5ft>s
0.5 rad>s, d
z
xy
O
v 0.5 rad/s
769
*16–132.
While the swing bridge is closing with a constant rotation of
a man runs along the roadway such that when
he is running outward from the center at
with an acceleration of both measured relative to the
roadway. Determine his velocity and acceleration at this
instant.
2ft>s2,
5ft>sd=10 ft
0.5 rad>s, d
z
xy
O
v 0.5 rad/s
