kvg/3m123/MOM/Aug2023/velo/Tut01
A02- ME203-MOM – Velocity Vector diagram
(Graphical Method + Trigonometric relations for numerical) Tutorials
CR to make a group of 4 members and communicate the same to Faculty , Last batch can have either
3 or 5 member group )
Determination of Velocity of a point or angular velocity of a link
# Draw Configuration diagram with all given details & data
#Draw the position vector diagram on configuration diagram
#Draw velocity vector (LOA) on position vector diagram
# Write Velocity vector equation with standard notions as followed in the class
# Make velocity vector Tabular column- indicating vector, magnitude, LOA, sense, passing
through point. Mark what is known () /unknown (?)
# Draw velocity vector diagram, find the linear velocity of points of interest and angular
velocity of links
Position diagrams and Vector diagrams may be made on normal A4 size paper, on each
sheet, on top right corner write your Name and Roll Number, On Left top corner write date
and time of solving the question, bottom right corner put your sign.
Numerical values of final answers are not expected, just write the procedure to get the
numerical values. Indicate each vector notations and LOA relations (like perpendicular or
parallel etc)
It is an individual assignment. Everyone Is encourage to work out all the problems, each
student to pick 2 questions each from question no. 1-5, 6-10 and 11-15 (total 6 questions) to
be solve and submitted as assignment
How to submit Tutorial / Assignments for ME 203 MOM
1. Each student to pick 2 questions each from question no. 1-5, 6-10 and 11-15 (total 6 questions) and
solve and submit
2. Follow specific instructions given in each question
3. Use only white A4 sheets, on
each sheet,on top right corner write your Name and Roll Number ,
On Left top corner write date and time of solving the question, bottom right corner put your sign..
4. Scan and submitted PDF of the handwritten solutions with a coverpage (a single pdf file with file
name A02-YourRollNumber.pdf
5. Tutorial cover page should have following details, Tutorial title, submission due date, name of the
student and roll number, question numbers of the problem solved from each group of questions no. 15, 6-10 and 11-15
6. Plagiarism or any unethical conduct attracts a negative score 10 mark to the total score for the course
(as per approved evaluation plan for ME203 MOM).
ME203 MOM 3M123 Aug 2023
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kvg/3m123/MOM/Aug2023/velo/Tut01
1.
In a four link mechanism, the crank AB rotates at 36 rad/s. The length of the links are
AB = 200 mm, BC = 400 mm, CD = 450 mm and AD = 600 mm. AD is the fixed link. At the
instant when AB is at right angle to AD, determine the velocity (i) mid point of link BC. (ii) a
point on the link CD 100 mm from the pin connecting the links CD and AD. Determine the
linear velocity of point B and angular velocity of link AB and BC
2.
In a slide crank mechanism, the length of crank OB and connecting rod AB are 125 mm and
500 mm respectively. The centre of gravity G of the connecting rod is 275 mm from the
slider A. The crank speed 600 rpm clockwise. When the crank as turned 45 o from the inner
dead centre position, determine (i) velocity of the slider A, (ii) velocity of point G and (iii)
angular velocity of the connecting rod AB.
3.
The slide crank mechanism as shown in figure 3 the length of the crank OB and connecting
rod AB are 100 mm and 400 mm respectively. If the crank rotates clockwise with and angular
velocity of 10 rad/s, find (i) Velocity of the slider A and (ii) Angular velocity of the
connecting rod AB.
4.
For the mechanism shown in figure 4 determine the angular velocity of link AB.
C
B
B
360
300
400
100
45o
60 rad/s
90o
O
P
Q
Figure 3.
60o
30 mm
20
360
A
O
20
A
Figure 4.
D
600
All dimensions are in mm
Figure 5
5.
In a pin jointed four bar mechanism, as shown in figure 5. AB = 300 mm, BC = CD = 360
mm, and AD = 600 mm. The angle BAD = 60 o. The crank AB rotates uniformly at 100 rpm.
Locate all the instantaneous centres and find the angular velocity of the link BC.
6.
Figure 6 shows a slider crank mechanism. The crank rotates at 720 rpm find the velocity of
(i) point Q on the connection road extension. (ii) Point B (iii) angular velocity of link BQ
Q
50
300
75
B
45
O
All dimensions are in mm
Figure 6
ME203 MOM 3M123 Aug 2023
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kvg/3m123/MOM/Aug2023/velo/Tut01
7.
For a mechanism shown in figure 7,in which OA = 300 mm, AB = 600 mm, AC = 1200 mm
and BD = 1200 mm. OD is horizontal for the given configuration. If OA rotates at 200 rpm in
clockwise direction, find (i) linear velocity of C and D (ii) the angular velocities of links AC
and BD.
30o
A
D
O
30o
E
B
C
G
600 mm
Figure 7
8.
The mechanism of a stone crusher is shown in figure 8 along with various dimensions of
links. If crank OA is 100 mm, rotates at a uniform velocity of 120 rpm, determine the
velocity of point K.(jaw). OA is inclined at an angle of 30o to the horizontal. (Link ABC, AB
= 600,AC = 600, BC = 200, Link MDK, MK = 280, DK = 170, MD = 390; QB=350, CD =
320; vertical distance between O and M = 100; vertical distance between O and Q = 400;
horizontal distance between O and M = 500; horizontal distance between O and Q = 290, All
dimensions are in mm)
500
60o
A
O
100
M
400
290
K
Q
D
C
B
Figure 8
ME203 MOM 3M123 Aug 2023
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kvg/3m123/MOM/Aug2023/velo/Tut01
9.
In the toggle mechanism, as shown in figure 9 the slider D is constrained to move on a
horizontal path. The crank OA is rotating in the counter clockwise direction at a speed of
180 rpm. The dimensions of various links are as follows. OA =180 mm, CD = 240 mm,
AB = 60 mm, BD = 540 mm. For the given configuration find, (i) velocity of slider D, (ii)
angular velocity of links AB, CD and BD.
45o
A
O
360
B
C
D
Figure 9
105
10.
(a) For the mechanism shown in figure 10, link 2 rotates at constant angular velocity of
1 rad/s. Determine the velocity of point D. (O2A = 50.8 mm, AB = 102 mm, AC = 203 mm,
BD = 102 mm, O6D = 102 mm, O2O6 = 102 mm)
O6
D
6
5
102 mm
A
2
45o
2
3
B
3
4
C
Figure 10
ME203 MOM 3M123 Aug 2023
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kvg/3m123/MOM/Aug2023/velo/Tut01
11.
(a)The driving link 2 of the Whitworth quick return mechanism shown in figure 11, rotates at
a constant angular velocity of 2 rad/s. Determine the velocity of the tool holder (link 6),
(O2A = 191 mm, O4B = 102 mm, BC = 356 mm, O2O4 = 89 mm)
3
O2
2
2
A
1
B
4
5
C
45o
O4
6
1
1
Figure 11
12.
(a) Figure 12 shows the mechanism of a radial valve gear. The crank OA turns uniformly at
150 rpm and is pinned at A to rod AB. The point C in rod is guided in the circular path with D as
center as DC as radius. The dimension of various links are OA = 150 mm, AB = 550 mm, AC = 450
mm, DC = 500 mm, BE = 350 mm. Determine the velocity of the ram E for the given position of
mechanism.
B
E
C
550
D
200
500
O
30o
A
Figure 12
ME203 MOM 3M123 Aug 2023
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kvg/3m123/MOM/Aug2023/velo/Tut01
13.
Driving crank AB of the quick return mechanism, as shown in figure 13 revolves at a uniform
speed of 200 rpm. Find the velocity of the tool box R, in the position shown, when the crank
makes an angle of 60 o to the vertical line of centers PA. Also find the angular velocity of link
PQ and link RQ
Q
500
R
B
75
150
60o
A
375
200
P
Figure 13
14.
A combined four bar and slider crank mechanism is shown in the figure 14. The crank OA
rotates at 720 rpm. When the crank makes 75 with vertical, determine (i) angular velocity of the DB
(ii) linear velocity of the slider
O
28
A
720 rpm
65
44
B
49
46
D
11
C
All dimensions are in mm
Figure. 14
ME203 MOM 3M123 Aug 2023
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15.
For the mechanism shown in figure 15, link 2 rotates at constant angular velocity of 2 rad/s.
Determine the velocity of point S. (PO = 240 mm, OA = 150, AR = 165 mm, RS = 430 mm,
crank makes 45o with vertical)
S
R
150
A
300 rpm
O
45
P on slider
Q on link AB
B
Figure. 15
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