Download AKTU (Dr. A.P.J. Abdul Kalam Technical University (AKTU), formerly Uttar Pradesh Technical University (UPTU) B-Tech 5th Semester (Fifth Semester) 2015-2016 Kinematics Of Machines Nme 502 Question Paper
(Following Paper ID and Roll No. to be ?lled in your
Answer Book)
Roll No.
B.Tech.
(SEM. V) THEORY EXAMINATION 2015-16
KINEMATICS OF MACHINES
[Time:3 hours] ~ [Tote] Marks:100]
SECTION?A
Attempt all parts. Write answer in brief. (10x2=20)
1. (a) Write the difference between a machine and
structure.
(b) List different types of instantaneous centres and
write formula to ?nd the number of IC for four bar
mechanism.
(c) Brie?y explain the formation of involute tooth
pro?le.
((1) De?ne degree of freedom and explain Kutzbach
Criterion to Plane Mechanisms.
(e) What are different types of links? -
NME502 (1) P.T.0.
(f) De?ne module and circular pitch for a gear pro?le.
(g) List factors on which power transmission of belt
pulley system depends.
(h) Explain pitch circle and pressure angle for a cam
pro?le.
(i) Write relation for a kinematic chain and describe
the condition for locked and unconstrained chain.
(j) Draw any one inversion of four bar chain
mechanism.
SECTION-B
?
Attempt any ?ve questions. Each question carries equal marks.
(5x10=50)
De?ne and explain with neat sketch types of constrained
motions.
A single slider crank chain mechanism shown in ?g. 1
having crank OA=20 cm, connecting rod AP=7O cm
and angular velocity of crank is 10 radian per second.
Find the velocity of piston P, angular velocity of link
PA and the velocity of Point B at a distance of 20 cm
froonn linkAP when 0=45?. '
(2) NME-502
A
? B
m?-IOIad/s?
. 0.45- 0
Fig.1
De?ne the fundamental law of gearing. Derive the
condition that must be satis?ed for two bodies having
constant velocity ratio.
A cam operates a roller, in line feciprocating follower,
while rotating at 300 rpm, The further speci?cations
are: Minimum radius of cam=25mm, lift of
follower=30 mm (SHM in nature), Diameter of
roller=15 mm, Angle of lift=120?, dwell angle=30?
Angle of return =150?(Uniform retardation in nature).
Draw the cam pro?le and ?ne the maximum velocity
and acceleration of the follower during lift as well as
return.
? (3) NME-502
In Fig.2, .the angular velocity of the crank 0A is 600
rpm. Determine the linear velocity of the slider D and
the angular velocity of the link BD, when the crank is
inclined at an angle 6f 75? to the vertical. The
dimensions of varieus links are:OA=28 mm; AB=44
mm?BC=49 mm;and BD=46 mm. the centre distance
between the centres of rotation O and C is 65 mm. the
path of travel of the slider is 11 mm below the ?xed
point C. The slider moves along a horizontal path and
0C is vertical.
(4) NME-502
Derive the relationships for frictional torque acting on
a plate clutch using uniform pressure and uniform wear
theory.
The speed ratio of the reverted gear train, as shown in
?g.3, is to be 12. The module ofgearsAand B is 3.125
mm and of gears C and D is 2.5 mm. Calculate the
suitable numbers of teeth for the gears. No gear is to
have less than 24 teeth.
B ?
c
_ T
_ 201mm
Driver - Driven
LA
D_
Fig 3
Explain and_ derive the realtionship for Hart?s
mechanism to prove that it is a exact straight line
mechanism.
? (5) NME-502
SECTION-C
Attempt any two questions. Each question carries equal marks.
(2x15=30)
10. Explain Coriolis component of acceleration and show
that the magnitude of Coriolis component ofacceleration
is 2V (0. Where V is the linear velocity of slider.
1 1. Derive the expression for the path of contact and are of
contact for involute in contact.
12. An epicyclic gear consists ofthree gears A, B and C as
shown in Fig. 4. The gear A has 72 internal teeth and
gear C has 32 external teeth. The gear B meshes with
bothA and C and is carried on an arm EF which rotates
about the centre of A at 18 rpm. If the gear A is ?xed,
determine the speed of gears B and C.
(6) NME-502 / 19000
This post was last modified on 29 January 2020