Download OU (Osmania University) B.Tech (Bachelor of Technology) First Year (1st Year) 2012 January 5007 Engineering Mechanics Question Paper
FACULTY OF ENGINEERING AND INFORMATICS
,
B.E. 1 Year (New) (Common to All Branches) (Suppl.)
Examination, January 2012
ENGINEERING MECHANICS
Time: 3 Hours] [Max. Marks: 75
Note : Answer all questions from Part A. Answer any five questions
from Part B.
PART ? A (25 Marks)
1. Two forces of equal magnitudes are acting on a particle. If the magnitude- of
their resultant is the same as that of the forces, find the angle between the two
forces.
3
2. Define the principle of Transmissibility of forces. 2
3. Define centroid and centre of gravity. 2
4. A belt embraces an angle of 200? over the surface of a pulley of 500 mm dia. If the
tight side tension of the belt is 2.5 kN, find out the slack side tension of the belt.
The coefficient of friction between the belt and the pulley can be taken as 0.3. 3
5. Define polar moment of inertia.
6. Explain the transfer formula for product of inertia.
7. A hot air balloon having initial velocity V
o
rises. A stone dropped from this balloon,
when it is 140 m height, hits the ground after 10 seconds. Find the velocity of the
balloon.
140 n-11_77?..,_,
ground
8. The motion of a particle is defined as, x = t
3
15t
2
? 20, where 'x' is expressed
in meters and is in seconds. Determine the acceleration of the particle at
t = 4 seconds.
2
2
3
3
(This paper contains 3 pages) 1 P.T.O.
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11111111111111111111111IIIII1IIIII Code No.: 5007/N
FACULTY OF ENGINEERING AND INFORMATICS
,
B.E. 1 Year (New) (Common to All Branches) (Suppl.)
Examination, January 2012
ENGINEERING MECHANICS
Time: 3 Hours] [Max. Marks: 75
Note : Answer all questions from Part A. Answer any five questions
from Part B.
PART ? A (25 Marks)
1. Two forces of equal magnitudes are acting on a particle. If the magnitude- of
their resultant is the same as that of the forces, find the angle between the two
forces.
3
2. Define the principle of Transmissibility of forces. 2
3. Define centroid and centre of gravity. 2
4. A belt embraces an angle of 200? over the surface of a pulley of 500 mm dia. If the
tight side tension of the belt is 2.5 kN, find out the slack side tension of the belt.
The coefficient of friction between the belt and the pulley can be taken as 0.3. 3
5. Define polar moment of inertia.
6. Explain the transfer formula for product of inertia.
7. A hot air balloon having initial velocity V
o
rises. A stone dropped from this balloon,
when it is 140 m height, hits the ground after 10 seconds. Find the velocity of the
balloon.
140 n-11_77?..,_,
ground
8. The motion of a particle is defined as, x = t
3
15t
2
? 20, where 'x' is expressed
in meters and is in seconds. Determine the acceleration of the particle at
t = 4 seconds.
2
2
3
3
(This paper contains 3 pages) 1 P.T.O.
11111111111111111111111111111111111 Code No. 5007/N
9. State the principle of conservation of linear momentum of a particle. 2
10. A body is rotating with an angular velocity of 5 rad/sec. After 5 seconds the
angular velocity of the body becomes 14 racVsec. Determine the angular acceleration
of the body. 3
PART ? B (5x10=50 Marks)
11. In the system shown in fig., determine the length of the common perpendicular
between lines AE and BD. 10
12. Locate the centroid of frustum of a cone of height 8 cm and having the diameter
of 5 cm and 8 cm at top and bottom of the frustum of cone respectively. 10
13. Two blocks A and B each weighing 1500 N are connected by a uniform horizontal
bar which weighs 100 N. If the angle of limiting friction under each block is 15?,
find the force P directed parallel to the 60? inclined plane, that will cause motion
impending to the right. 10
2
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11111111111111111111111IIIII1IIIII Code No.: 5007/N
FACULTY OF ENGINEERING AND INFORMATICS
,
B.E. 1 Year (New) (Common to All Branches) (Suppl.)
Examination, January 2012
ENGINEERING MECHANICS
Time: 3 Hours] [Max. Marks: 75
Note : Answer all questions from Part A. Answer any five questions
from Part B.
PART ? A (25 Marks)
1. Two forces of equal magnitudes are acting on a particle. If the magnitude- of
their resultant is the same as that of the forces, find the angle between the two
forces.
3
2. Define the principle of Transmissibility of forces. 2
3. Define centroid and centre of gravity. 2
4. A belt embraces an angle of 200? over the surface of a pulley of 500 mm dia. If the
tight side tension of the belt is 2.5 kN, find out the slack side tension of the belt.
The coefficient of friction between the belt and the pulley can be taken as 0.3. 3
5. Define polar moment of inertia.
6. Explain the transfer formula for product of inertia.
7. A hot air balloon having initial velocity V
o
rises. A stone dropped from this balloon,
when it is 140 m height, hits the ground after 10 seconds. Find the velocity of the
balloon.
140 n-11_77?..,_,
ground
8. The motion of a particle is defined as, x = t
3
15t
2
? 20, where 'x' is expressed
in meters and is in seconds. Determine the acceleration of the particle at
t = 4 seconds.
2
2
3
3
(This paper contains 3 pages) 1 P.T.O.
11111111111111111111111111111111111 Code No. 5007/N
9. State the principle of conservation of linear momentum of a particle. 2
10. A body is rotating with an angular velocity of 5 rad/sec. After 5 seconds the
angular velocity of the body becomes 14 racVsec. Determine the angular acceleration
of the body. 3
PART ? B (5x10=50 Marks)
11. In the system shown in fig., determine the length of the common perpendicular
between lines AE and BD. 10
12. Locate the centroid of frustum of a cone of height 8 cm and having the diameter
of 5 cm and 8 cm at top and bottom of the frustum of cone respectively. 10
13. Two blocks A and B each weighing 1500 N are connected by a uniform horizontal
bar which weighs 100 N. If the angle of limiting friction under each block is 15?,
find the force P directed parallel to the 60? inclined plane, that will cause motion
impending to the right. 10
2
l
aw
51)
3
1111111111111101 11111111111 1 11 Code No. 5007/N
14. Find the moment of inertia of the section shown in Fig., about horizontal and
vertical centroidal axes. All dimensions are in cm. 10
15. The driver of an automobile decreases the speed at a constant rate from
70 to 50 Km/hr, over a distance of 200 m, along a curve of 500 m radius. Determine
the magnitude of the total acceleration of the automobile, after the automobile has
travelled 100 m along the curves. 10
16.
a) A pile of negligible mass driven by a hammer of mass 200 kN. If the pile is
driven 50 cm into the ground, when the hammer falls from a height of 3 m, find
the average force of resistance of the ground. 8
b) Define "co-efficient of restitution". 2
17. a) What is an elastic impact and write their types. 2
b) A plate shown below, moves in xy plane as below :
x component velocity of point A = 450 mm/sec.
x component velocity of point B = ? 200 mm/sec.
y component velocity of point C 700 mm/sec.
Determine angular velocity of the plate. 8
2,100
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This post was last modified on 20 November 2019