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Posted By: Girish Patil Member Level: Diamond Posted Date: 10 Feb 2008
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2007 Awadhesh Pratap Singh University M.Sc Microbiology physics Question paper
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1. a) State the conditions under which two shafts connected
together by a double Hooke’s joint shall have the same
angular velocities. (3)
b) Define coriolis component of acceleration. Indicate its
magnitude and direction. (3)
c) What conditions must be satisfied by two mass system to
be dynamically equivalent to the rigid body? (3)
d) Explain the terms Friction circle and Friction axis. (3)
e) What are the relative advantages and disadvantages of (i)
flat belts and (ii) chains for the transmission of power. (3)
2. a) What do you mean by constrained motion? Explain different
types of constrained motions with examples and neat
sketches. (7)
b) Explain inversions of a four bar chain with neat sketches.
(8)
3. In the mechanism shown in Fig. 1, OA is fixed, CD = 200
mm, OA = 60 mm, AC = 50 mm and OB (crank) = 150
mm, ÐOAD = 900. Determine the velocity and acceleration
of ‘D’ for counter clock wise rotation of OB at 80 rpm.
(15)
II Year B.E./B.Tech Degree Examination
THEORY OF MACHINES - I
Mechanical Engineering
Time : Three hours Maximum : 75 Marks
14
A
D
C
B
O
45º
4. a) Hook’s joint connects two shafts intersecting at 1500. The
driving shaft rotates at 120 rpm. The driven shaft operates
against a steady torque of 150 Nm and carries a flywheel of
mass 45 Kg and radius of gyration 15 cm. What is the
maximum torque which must be exerted by driving shaft?
(7)
b) What are different types of steering gear mechanisms ? Show
that Davis steering gear mechanism provides correct
steering. (8)
5. a) The following data relate to a connecting rod of a reciprocating
engine:
Weight = 550 N, Distance between bearing centres = 85
cm, Diameter of small end bearing = 7.5 cm, Diameter of
big end bearing = 10 cm, Time of oscillation when the
connecting rod is suspended from small end = 1.83 sec,
Time of oscillation when the connecting rod is suspended
from big end = 1.68 sec.
Determine (a) the radius of gyration of the rod about an axis
through the centre of gravity perpendicular to the plane of
oscillation; (b) the moment of inertia of the rod about the
same axis and (c) the dynamically equivalent system for the
connecting rod. Constituted of two masses, one of which is
situated at the small end centre. (15)
Fig . 1
15
6. a) A certain machine tool does work intermittently. The machine
is fitted with a flywheel of mass 200 Kg and radius of gyration
of 0.4 m. It runs at a speed of 400 rpm between the
operations. The machine is driven continuously by a motor
and each operation takes 8 seconds. When the machine is
doing its work, the speed drops from 400 to 250 rpm. Find
(i) Minimum power of the motor, where there are 5
operations performed per minute and (ii) Energy expanded
in performing each operation. (15)
7. a) Deduce and expression for the friction moment of a conical
thrust bearing and state what assumptions are made. (7)
b) Calculate the power absorbed in overcoming friction and
number of collars required for the thrust bearing whose collars
have 20cm external radius and 15cm internal raidus.
Coefficient of friction is 0.03. Total axial load is 30 KN.
Intensity of pressure is 0.35 N/mm2, speed of shaft is 420
rpm. (8)
8. a) A governor of the Hartnell type has equal balls of mass 3
Kg, set initially at a radius of 200 mm. The arms of the bell
crank lever are 100 mm vertically and 150 mm horizontally.
Find (i) The initial compressive force on the spring, if the
speed for an initial ball radius of 200 mm is 240 rpm and (ii)
The stiffness of the spring required to permit a sleeve
movement of 4 mm on fluctuation of 7½ percent in the engine
speed. (8)
b) Describe the construction and operation of a rope brake
absorption dynamometer. (7)
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