Fig.2-49 Calculate the degree of freedom of the mechanisms shown below. Indicate all points for attention before the calculation of the DOF.

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Fig.2-49 Calculate the degree of freedom of the
mechanisms shown below. Indicate all points for
attention before the calculation of the DOF.
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2
4
6
1
5
3
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Fig.2-51 Calculate the degree of freedom of the
mechanisms shown below. Indicate all points for
attention before the calculation of the DOF.
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2
1
4
3
6
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Fig.2-52 Calculate the degree of freedom of the
mechanisms shown below. Indicate all points for
attention before the calculation of the DOF
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In Fig.3-12,gear 4 rolls on fixed rack 5 without
slipping, determine graphically the ratio ?4/?1
for the position show, using the method of
instant centres.
P23
P34
P24
P15
P14
P45
P25
P12
Solution 1
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Solution 2
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3-22 In the six-bar mechanism shown below, XA0,
YA0, XD450mm, YD0, LAB150mm, LBC400mm,
LDC350mm, ?CDE30?, LDE150mm, LEF400mm. Crank
AB rotates at a constant speed 10rad/sec. A main
program is required to analyze the output motions
of the point F. The mechanism will be analyzed
for the whole cycle when the driver AB rotates
from 0? to 360? with a step size of ??1 5?
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(1) link AB is the driver. Calculate B by LINK.
(2) Determine motion of links 2 and 3 by
RRR. (3) Calculate the point E on the determined
link 3 by LINK. (4) Determine the motion of link
5 by RRP. This dyad(????) can be assembled only
after the motion of the point E is determined.
(5) Determine motion of point F on the link 5.
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Main Program

• For Q10 to 360 step 5
• Call link(0,0,0,0,0,0,q1pi/180,10,0,150,xb,yb,vbx
  ,xby,abx,aby)
• Call rrr(xb,yb,vbx,xby,abx,aby,450,0,0,0,0,0,400,3
  50,q2,w2,e2, q3,w3,e3)
• Let qdeq3-30pi/180
• Call link(450,0,0,0,0,0,q3,w3,e3,150,xe,ye,vex,xey
  ,aex,aey)
• Call rrp(1,0,400, xe,ye,vex,xey,aex,aey,
  qef,wef,eef)
• Call link(xe,ye,vex,xey,aex,aey,
  qef,wef,eef,400,xf,yf,vfx,xfy,afx,afy)
• Print q1,xf,yf,vfx,xfy,afx,afy
• Next q1
• end

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• In the revolute four-bar mechanism shown below,
• (1)Determine the type of revolute four-bar
  mechanisms
• (2)If the link AB is a driver and rotates at a
  constant speed.
• (a) Find the pressure angle ? and the
  transmission angle ? of the mechanism at the
  position shown.
• (b) Find the angular stroke ?max of the link DC.
• (c)    Find the crank acute angle ? between the
  two limiting positions.
• (d)   Find the maximum pressure angle ?max and
  the minimum transmission angle ?min.
• (e)    Are there any dead-points in the whole
  cycle of the motion if link DC is the driver? If
  so, when or where? Draw the dead-point positions
  of the mechanism.

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4-4 if the link AB is a driver and rotates at a
constant speed. (a) Find the pressure angle ? and
the transmission angle ? of the mechanism at the
position shown.
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if the link AB is a driver and rotates at a
constant speed. (b) Find the angular stroke ?max
of the link DC
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if the link AB is a driver and rotates at a
constant speed. (a) Find the crank acute angle ?
between the two limiting positions.
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if the link CD is a driver , the pressure angle ?
and the transmission angle ? of the mechanism at
the position shown
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if the link CD is a driver,the maximum pressure
angle ?max is 90ºand the minimum transmission
angle ?min is 0º.Dead-point will happen at this
position
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• 4-10 Shown are the two positions, B1C1 and B2C2,
  of coupler BC of a revolute four-bar linkage
  ABCD. Link AB is the driver. The pressure angle ?
  at the first position is 0o. The second position
  of the mechanism is a toggle position. Design the
  linkage. Describe briefly the drawing steps.

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4-20 In an offset slider-crank mechanism ABC, two
sets of corresponding positions between crank AB
and point F on slider are known. When the crank
AB is located at position AB1, the slider reaches
its left limit position. Find the first position
C1 of the revolute C on the slider.
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• For the plate cam with translating offset roller
  follower as shown below, arcs GH and IJ are two
  arcs with centre at O. Indicate the radius rP of
  prime circle, offset e, cam angle ?0 for rise,
  cam angle ?S for outer dwell, cam angle ?0' for
  return, cam angle ?S' for inner dwell and lift h.
  For the position shown, indicate pressure angle
  ?, displacement S and the corresponding cam angle
  ?.

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• 5-16 For the plate cam with oscillating roller
  follower as shown below, arcs GH and IJ are two
  arcs with centre at O. Indicate radius of prime
  circle rP, cam angle for rise ?0, cam angle for
  outer dwell ?S, cam angle for return ?0', cam
  angle for inner dwell ?S' and angular lift ?MAX.
  For the position shown, indicate pressure angle
  ?, angular displacement of follower ? and the
  corresponding cam angle ?

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• 5-17 A plate cam with oscillating roller follower
  as shown below to have the following motion
• an angular lift fmax 20º with a sine
  acceleration motion curve during d0130º, ds30º,
  a return with a 3-4-5 polynomial motion curve
  during d0140º, and ds60º.the dimensions are
  to berp40mm,lOA80mm,lAB76mm,rR12mm,and
  rC16mm.
• (1)

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• 5-17

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