Download JNTUK B-Tech 2020 R19 ME Engineering Mechanics Model Question Paper

Download JNTUK (Jawaharlal Nehru Technological University Kakinada (JNTU kakinada)) B-Tech 2020 R19 ME Engineering Mechanics Model Previous Question Paper

15


I B. Tech II Semester (R19) Regular Examinations
ENGINEERING MECHANICS
(MECHANICAL ENGINEERING)
MODEL QUESTION PAPER
TIME: 3Hrs. Max. Marks: 75 M
Answer ONE Question from EACH UNIT.
All questions carry equal marks.
*****
CO KL M
UNIT-I
1. a). State and prove Varignon?s theorem. 1 K2 8
b). Two cylinders of diameter 100 mm and 50 mm, weighing 200 N and
50 N, respectively are placed in a trough as shown in Figure 1.
Assuming smooth surfaces, find the reactions at the points of supports
1, 2, 3 and 4.

Figure 1
1 K3 7
OR
2. a). A string ABC of length l carries a small pulley C from which a Load W
is suspended as shown in Figure 2. The string hangs between two
vertical walls which are at a distance d apart. The end A is higher than
the end B by height h. Find the position of equilibrium defined by the
angle ?. Assume d= l/2 and h=l/4.

Figure 2
1 K3 8
b). Two identical prismatic bars AB & CD each weighing 200 N are
welded together to form a Tee and are suspended in a vertical plane as
1 K3 7
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15


I B. Tech II Semester (R19) Regular Examinations
ENGINEERING MECHANICS
(MECHANICAL ENGINEERING)
MODEL QUESTION PAPER
TIME: 3Hrs. Max. Marks: 75 M
Answer ONE Question from EACH UNIT.
All questions carry equal marks.
*****
CO KL M
UNIT-I
1. a). State and prove Varignon?s theorem. 1 K2 8
b). Two cylinders of diameter 100 mm and 50 mm, weighing 200 N and
50 N, respectively are placed in a trough as shown in Figure 1.
Assuming smooth surfaces, find the reactions at the points of supports
1, 2, 3 and 4.

Figure 1
1 K3 7
OR
2. a). A string ABC of length l carries a small pulley C from which a Load W
is suspended as shown in Figure 2. The string hangs between two
vertical walls which are at a distance d apart. The end A is higher than
the end B by height h. Find the position of equilibrium defined by the
angle ?. Assume d= l/2 and h=l/4.

Figure 2
1 K3 8
b). Two identical prismatic bars AB & CD each weighing 200 N are
welded together to form a Tee and are suspended in a vertical plane as
1 K3 7
16

shown in Figure 3. Calculate the values of the ? that the bar AB will
make with the vertical when a vertical load of 200 N is applied at D.

Figure 3

UNIT-II
3. a). Derive the centriod of a wire bend in the form of a sector of an arc by
taking the radius as ?r? and angle of sector as ???.
2 K3
8
b). Determine the centriod of the shaded segment for Figure 4 by taking a
= 18 m and ? = 45
0
.

Figure 4
2 K3 7
OR
4. a). Derive the moment of inertia of triangle abt its centriodal axis and
also deduce the same abt its base.
2 K3
8
b). Determine the moment of Inertia of the T-section shown in Figure 5
abt its centroidal axis.

Figure 5
2 K3 7

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15


I B. Tech II Semester (R19) Regular Examinations
ENGINEERING MECHANICS
(MECHANICAL ENGINEERING)
MODEL QUESTION PAPER
TIME: 3Hrs. Max. Marks: 75 M
Answer ONE Question from EACH UNIT.
All questions carry equal marks.
*****
CO KL M
UNIT-I
1. a). State and prove Varignon?s theorem. 1 K2 8
b). Two cylinders of diameter 100 mm and 50 mm, weighing 200 N and
50 N, respectively are placed in a trough as shown in Figure 1.
Assuming smooth surfaces, find the reactions at the points of supports
1, 2, 3 and 4.

Figure 1
1 K3 7
OR
2. a). A string ABC of length l carries a small pulley C from which a Load W
is suspended as shown in Figure 2. The string hangs between two
vertical walls which are at a distance d apart. The end A is higher than
the end B by height h. Find the position of equilibrium defined by the
angle ?. Assume d= l/2 and h=l/4.

Figure 2
1 K3 8
b). Two identical prismatic bars AB & CD each weighing 200 N are
welded together to form a Tee and are suspended in a vertical plane as
1 K3 7
16

shown in Figure 3. Calculate the values of the ? that the bar AB will
make with the vertical when a vertical load of 200 N is applied at D.

Figure 3

UNIT-II
3. a). Derive the centriod of a wire bend in the form of a sector of an arc by
taking the radius as ?r? and angle of sector as ???.
2 K3
8
b). Determine the centriod of the shaded segment for Figure 4 by taking a
= 18 m and ? = 45
0
.

Figure 4
2 K3 7
OR
4. a). Derive the moment of inertia of triangle abt its centriodal axis and
also deduce the same abt its base.
2 K3
8
b). Determine the moment of Inertia of the T-section shown in Figure 5
abt its centroidal axis.

Figure 5
2 K3 7

17

UNIT-III
5. a). Find t the forces in all the members of a pin jointed truss as shown in
Figure 6 by using method of Joints.

Figure 6
3 K3 8
b). A uniform ladder 5m long on a horizontal grnd and leans against a
smooth vertical wall at an angle of 70
0
with the horizontal. The weight
of the ladder is 90 N and acts at its middle. The ladder is at the point of
sliding, when a man weighing 75N stands on a rung 3.5m from the top
of the ladder. Calculate the co-efficient of the friction between the
ladder and the floor.
4 K3 7
OR
6. a). Explain the terms angle of repose, cone of friction and write the laws of
friction
4 K1
8
b). Referring to the Figure 7 given above, determine the least values of the
force P to cause motion to impend right wards. Assume the coefficient
of friction under the blocks to be 0.2 and pulley to be frictionless.

Figure 7
4 K3 7

UNIT-IV
7. a). A stone is dropped from the top of a tower 60 m high. At the same
instant, another stone is thrown vertically upwards from the foot of
tower to meet the first stone at a height of 18 m. Determine (i) the time
when the two stones meet; (ii) the velocity with which the second stone
was thrown up.
5 K2 8
b). Weight W and 2W are supported in a vertical plane by a string and
pulleys arranged as shown in Figure 8. Find the magnitude of an
5 K3 7
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15


I B. Tech II Semester (R19) Regular Examinations
ENGINEERING MECHANICS
(MECHANICAL ENGINEERING)
MODEL QUESTION PAPER
TIME: 3Hrs. Max. Marks: 75 M
Answer ONE Question from EACH UNIT.
All questions carry equal marks.
*****
CO KL M
UNIT-I
1. a). State and prove Varignon?s theorem. 1 K2 8
b). Two cylinders of diameter 100 mm and 50 mm, weighing 200 N and
50 N, respectively are placed in a trough as shown in Figure 1.
Assuming smooth surfaces, find the reactions at the points of supports
1, 2, 3 and 4.

Figure 1
1 K3 7
OR
2. a). A string ABC of length l carries a small pulley C from which a Load W
is suspended as shown in Figure 2. The string hangs between two
vertical walls which are at a distance d apart. The end A is higher than
the end B by height h. Find the position of equilibrium defined by the
angle ?. Assume d= l/2 and h=l/4.

Figure 2
1 K3 8
b). Two identical prismatic bars AB & CD each weighing 200 N are
welded together to form a Tee and are suspended in a vertical plane as
1 K3 7
16

shown in Figure 3. Calculate the values of the ? that the bar AB will
make with the vertical when a vertical load of 200 N is applied at D.

Figure 3

UNIT-II
3. a). Derive the centriod of a wire bend in the form of a sector of an arc by
taking the radius as ?r? and angle of sector as ???.
2 K3
8
b). Determine the centriod of the shaded segment for Figure 4 by taking a
= 18 m and ? = 45
0
.

Figure 4
2 K3 7
OR
4. a). Derive the moment of inertia of triangle abt its centriodal axis and
also deduce the same abt its base.
2 K3
8
b). Determine the moment of Inertia of the T-section shown in Figure 5
abt its centroidal axis.

Figure 5
2 K3 7

17

UNIT-III
5. a). Find t the forces in all the members of a pin jointed truss as shown in
Figure 6 by using method of Joints.

Figure 6
3 K3 8
b). A uniform ladder 5m long on a horizontal grnd and leans against a
smooth vertical wall at an angle of 70
0
with the horizontal. The weight
of the ladder is 90 N and acts at its middle. The ladder is at the point of
sliding, when a man weighing 75N stands on a rung 3.5m from the top
of the ladder. Calculate the co-efficient of the friction between the
ladder and the floor.
4 K3 7
OR
6. a). Explain the terms angle of repose, cone of friction and write the laws of
friction
4 K1
8
b). Referring to the Figure 7 given above, determine the least values of the
force P to cause motion to impend right wards. Assume the coefficient
of friction under the blocks to be 0.2 and pulley to be frictionless.

Figure 7
4 K3 7

UNIT-IV
7. a). A stone is dropped from the top of a tower 60 m high. At the same
instant, another stone is thrown vertically upwards from the foot of
tower to meet the first stone at a height of 18 m. Determine (i) the time
when the two stones meet; (ii) the velocity with which the second stone
was thrown up.
5 K2 8
b). Weight W and 2W are supported in a vertical plane by a string and
pulleys arranged as shown in Figure 8. Find the magnitude of an
5 K3 7
18

additional weight Q applied on the left which will give a downward
acceleration a = 0.1g to the weight W.

Figure 8
OR
8. a). Define Time of Flight, Range and Maximum Height of a projectile. 5 K1 8
b). Derive the general equation of projectile motion. 5 K2 7

UNIT-V
9. a). A flywheel is rotating at 150 R.P.M. and after 8 seconds it is rotating at
120 R.P.M. If the retardation is uniform, determine number of
revolutions made by the flywheel and the time taken by the flywheel
before it comes to rest from the speed of 150 R.P.M.
6 K3 8
b). A rotor of weight W = 1720 N and radius of gyration k = 100 mm is
mnted on a horizontal shaft and set in rotation by a falling we ight W
= 1720 N as shown in Figure 9. If the system is released from rest, find
the velocity of the block after it has fallen thrgh a distance of 3 m.

Figure 9
6 K3 7
OR
10. a). A body is rotating with an angular velocity of 8 radian/s. After 5
seconds, the angular velocity of the body becomes 28 radian/s.
determine the angular acceleration of the body.
6 K3 8
b). Three bodies, a sphere, a cylinder and a hoop each having the same
mass and radius are released from rest from an inclined plane of angle
?. Determine the velocity of each of the bodies after it has rolled down
the incline plane thrgh a distance s.
6 K3 7



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This post was last modified on 28 April 2020