Problem 6.84
For the slider-crank mechanism shown, let
RD20 mm
,
LD80 mm
, and
HD38 mm.
Determine the angular velocity of the crank
OA
when
D20ı
and
the slider is moving downward at 15 m=s.
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 1261
Problem 6.85
For the slider-crank mechanism shown, let
RD20 mm
,
LD80 mm
, and
HD38 mm.
Determine the general expression for the velocity of the slider
B
as a
function of
,
P
, and the geometrical parameters
R
,
H
, and
L
, using the
vector approach.
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 6.86
For the slider-crank mechanism shown, let
RD20 mm
,
LD80 mm
, and
HD38 mm.
Determine the general expression for the velocity of the slider
B
as
a function of
,
P
, and the geometrical parameters
R
,
H
, and
L
, using
differentiation of constraints.
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 1263
Problem 6.87
For the slider-crank mechanism shown, let
RD20 mm
,
LD80 mm
, and
HD38 mm.
Plot the velocity of the slider
B
as a function of
, for
0360ı
,
and for P
D1000 rpm, P
D3000 rpm, and P
D5000 rpm.
where we note that
P
D!c
and we have used the fact that
H
,
R
,
and Lare all constant. Noting that EvBDvBO|, we have
.H Rcos / sin
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.
Dynamics 2e 1265
Problem 6.88
Complete the velocity analysis of the slider-crank mechanism, using
differentiation of constraints that was outlined beginning on p. 453.
That is, determine the velocity of the piston
C
and the angular
velocity of the connecting rod as a function of the given quantities
,
!AB
,
R
, and
L
. Use the component system shown for your answers.
LP
Lcos D RP
Lq1R2
L2cos2D RP
where we have used the expression for cos found above. Since !BC DP
, we can write
sin
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 we have also used the fact that P
D!AB . Therefore, the velocity of Cis
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 1267
Problem 6.89
A truck on an exit ramp is moving in such a way that, at the instant shown,
jEaAj D 17 ft=s2
,
P
D 0:3 rad=s
,
and
R
D 0:1 rad=s2
. If the distance between points
A
and
B
is
dAB D12 ft
,
D57ı
, and
D13ı
,
determine EaB.
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 6.90
Let
LD4ft
, let point
A
travel parallel to the guide shown, and let
Cbe the midpoint of the bar.
If point
A
is accelerating to the right with
aAD27 ft=s2
and
P
D7rad=sDconstant
, determine the acceleration of point
C
when
D24ı.
Solution
Using the given component system, at the instant shown, 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 1269
Problem 6.91
Let
LD4ft
, let point
A
travel parallel to the guide shown, and let
Cbe the midpoint of the bar.
If point
A
is accelerating to the right with
aAD27 ft=s2
,
P
D
7rad=s
, and
R
D 0:45 rad=s2
, determine the acceleration of point
Cwhen D26ı.
Solution
Using the given component system, at the instant shown, 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.