Problem 6.43
A bar of length
LD2:5
m is pin-connected to a roller at
A
. The
roller is moving along a horizontal rail as shown with
vAD5m=s
.
If, at a certain instant,
D33ı
and
P
D0:4 rad=s
, compute the
velocity of the bar’s midpoint C.
Solution
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permission of McGraw-Hill, is prohibited.
Dynamics 2e 1211
Problem 6.44
If the motion of the bar is planar, what would the speed of
A
need to
be for EvCto be perpendicular to the bar AB? Why?
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Problem 6.45
At the instant shown, the disk of radius
r
, whose center is at
O
, is unwinding from the
rope, which is attached to the fixed point at D, with the angular speed !d.
If rD6in:and !dD20 rad=s, determine the velocities of points A,B, and C.
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
Dynamics 2e 1213
Problem 6.46
At the instant shown, the disk of radius
r
, whose center is at
O
, is unwinding from the
rope, which is attached to the fixed point at D, with the angular speed !d.
Determine the velocities of points A,B, and Cas functions of rand !d.
Solution
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
Problem 6.47
Points
A
and
B
are both on the trailer part of the truck. If the relative velocity of point
B
with respect to
A
is as shown, is the body undergoing a planar rigid body motion?
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permission of McGraw-Hill, is prohibited.
Dynamics 2e 1215
Problem 6.48
A truck is moving to the right with a speed
v0D12 km=h
, while the pipe section with radius
RD1:25
m
and center at Crolls without slipping over the truck’s bed. The center of the pipe section Cis moving to
the right at
2m=s
relative to the truck. Determine the angular velocity of the pipe section and the absolute
velocity of C.
Solution
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
Problem 6.49
A wheel
W
of radius
RWD7mm
is connected to point
O
via the rotating arm OC, and it rolls without
slip over the stationary cylinder
S
of radius
RSD15 mm
. If, at the instant shown,
D47ı
and
!OC D3:5 rad=s
, determine the angular velocity of the wheel and the velocity of point
Q
, where point
Q
lies on the edge of Wand along the extension of the line OC.
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
Dynamics 2e 1217
where we have used
EvEDE
0
as well as the expression for
!W
in Eq. (5). Using
RWD7mm
,
RSD15 mm
,
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
Problem 6.50
At the instant shown, bars
AB
and
BC
are perpendicular to each other, and
bar
BC
is rotating counterclockwise at
20 rad=s
. Letting
LD2:5 ft
and
D45ı
, determine the angular velocity of bar
AB
, as well as the velocity
of the slider C.
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
Dynamics 2e 1219
Problem 6.51
For the slider-crank mechanism shown, let
RD20 mm
,
LD80 mm
,
and
HD38 mm
. Use the concept of instantaneous center of rotation to
determine the values of
, with
0ı360ı
, for which
vBD0
. Also,
determine the angular velocity of the connecting rod at these values of
for !cD10 rad=s in the direction shown.
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permission of McGraw-Hill, is prohibited.