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Problem 6.92
Let
LD4ft
, let point
A
travel parallel to the guide shown, and let
Cbe the midpoint of the bar.
If, when
D0ı
,
A
is accelerating to the right with
aAD27 ft=s2
and EaCDE
0, determine P
and R
.
Solution
Using the given component system, for D0, we have
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 1271
Problem 6.93
A wheel
W
of radius
RWD5cm
rolls without slip over the stationary
cylinder
S
of radius
RSD12 cm
, and the wheel is connected to point
O
via
the arm
OC
. If
!OC Dconstant D3:5 rad=s
, determine the acceleration
of point
Q
, which lies on the edge of
W
and 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.
Problem 6.94
In the mechanism shown, the block
B
is constrained to move vertically
and is attached to the bar
BD
. The point
A
on the bar
AD
is fixed.
Express all your answers in the component system shown.
At the instant shown, the block
B
is moving downward at a constant
speed of
2:5 ft=s
,
D45ı
, and
D30ı
. If
`D12 in:
and
dD8in:
,
determine the angular acceleration of bar AD at this instant.
Proceeding similarly to the way we did with velocities, we relate the acceleration of
D
to points
B
and
A
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 1273
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 6.95
In the mechanism shown, the block
B
is constrained to move vertically
and is attached to the bar
BD
. The point
A
on the bar
AD
is fixed.
Express all your answers in the component system shown.
At the instant shown, bar
AD
is rotating counterclockwise at a con-
stant angular speed
!AD D13 rad=s
,
D45ı
, and
D30ı
. If
`D24 in:
and
dD16 in:
, determine the acceleration of the block
B
at
this instant.
Proceeding similarly to the way we did with velocities, we relate the acceleration of
D
to points
B
and
A
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.
where
!BD
was found above. This solution for
˛BD
can then be substituted into the second equation to
obtain aB. Doing so gives
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 6.96
In the mechanism shown, the block
B
is constrained to move vertically
and is attached to the bar
BD
. The point
A
on the bar
AD
is fixed.
Express all your answers in the component system shown.
At the instant shown, block
B
is moving downward at
1:5 m=s
and is
increasing at
3m=s2
,
D45ı
, and
D30ı
. If
`D1:2
m and
dD0:8
m,
determine the angular acceleration of bar
AD
and the acceleration of point
Cat this instant.
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 1277
AD C`!2
BD cos. C/ aBsin
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 6.97
In the mechanism shown, the block
B
is constrained to move vertically
and is attached to the bar
BD
. The point
A
on the bar
AD
is fixed.
Express all your answers in the component system shown.
At the instant shown, bar
AD
is rotating counterclockwise with angu-
lar speed
!AD D30 rad=s
, which is decreasing at
4rad=s2
,
D45ı
, and
D30ı
. If
`D24 cm
and
dD16 cm
, determine the acceleration of the
block Bat this instant.
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.
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.
