Categories: Fourth Year First Semester (4-1)

Code No: PT32051/RA

III B. Tech II Semester Supplementary Examinations, April – 2018

ENGINEERING MECHANICS (Civil Engineering)Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B) 2. Answering the question in Part-A is compulsory

3. Answer any THREE Questions from Part-B

*****

PART ?A

1 a) What is limiting friction? [3M]

b) Write equilibrium equations for coplanar systems. [4M]

c) Distinguish between centroid and centre of Gravity. [4M]

d) What is products of Inertia. [4M]

e) A particle, starting from rest, moves in a straight line, whose equation of motion is

given by : S = t

3

? 2t

2

+ 3. Find the velocity and acceleration of the particle after 5

seconds.

[3M]

f)Write the applications of Work ? energy method.

[4M]

PART -B

2 a) Two forces of magnitude 240 N and 200 N are acting at a point O as shown in fig.

below. If the angle between the force is 60

0

, Determine the magnitude of the

resultant force. Also determine the angle ? and ? as shown in fig. below

[8M]

b) A load of 500 N is lying on an inclined plane, whose inclination with the horizontal

is 30?. If the coefficient of friction between the load and the plane is 0.4, find the

minimum and maximum horizontal force, which will keep the load in equilibrium.

[8M]

3 a) State and Prove Lami?s Theorem.

[8M]

b) An electric light fixture weighting 15 N hangs from a point C, by two strings AC

and BC. The string AC is inclined at 60? to the horizontal and BC at 45? to the

horizontal as shown in Fig.Using Lami?s theorem, or otherwise, determine the

forces in the strings AC and BC.

[8M]

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SET – 1

1 of 3

Code No: PT32051/RA

III B. Tech II Semester Supplementary Examinations, April – 2018

ENGINEERING MECHANICS (Civil Engineering)Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B) 2. Answering the question in Part-A is compulsory

3. Answer any THREE Questions from Part-B

*****

PART ?A

1 a) What is limiting friction? [3M]

b) Write equilibrium equations for coplanar systems. [4M]

c) Distinguish between centroid and centre of Gravity. [4M]

d) What is products of Inertia. [4M]

e) A particle, starting from rest, moves in a straight line, whose equation of motion is

given by : S = t

3

? 2t

2

+ 3. Find the velocity and acceleration of the particle after 5

seconds.

[3M]

f)Write the applications of Work ? energy method.

[4M]

PART -B

2 a) Two forces of magnitude 240 N and 200 N are acting at a point O as shown in fig.

below. If the angle between the force is 60

0

, Determine the magnitude of the

resultant force. Also determine the angle ? and ? as shown in fig. below

[8M]

b) A load of 500 N is lying on an inclined plane, whose inclination with the horizontal

is 30?. If the coefficient of friction between the load and the plane is 0.4, find the

minimum and maximum horizontal force, which will keep the load in equilibrium.

[8M]

3 a) State and Prove Lami?s Theorem.

[8M]

b) An electric light fixture weighting 15 N hangs from a point C, by two strings AC

and BC. The string AC is inclined at 60? to the horizontal and BC at 45? to the

horizontal as shown in Fig.Using Lami?s theorem, or otherwise, determine the

forces in the strings AC and BC.

[8M]

R13

SET – 1

1 of 3

4 Determine the centroid for the following figure:

[16M]

5 Find the moment of inertia of the section as shown in the fig about centroidal axis

XX perpendicular to the web.

2 of 3

[16M]

R13

SET – 1

Code No: PT32051/RA

Code No: PT32051/RA

III B. Tech II Semester Supplementary Examinations, April – 2018

ENGINEERING MECHANICS (Civil Engineering)Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B) 2. Answering the question in Part-A is compulsory

3. Answer any THREE Questions from Part-B

*****

PART ?A

1 a) What is limiting friction? [3M]

b) Write equilibrium equations for coplanar systems. [4M]

c) Distinguish between centroid and centre of Gravity. [4M]

d) What is products of Inertia. [4M]

e) A particle, starting from rest, moves in a straight line, whose equation of motion is

given by : S = t

3

? 2t

2

+ 3. Find the velocity and acceleration of the particle after 5

seconds.

[3M]

f)Write the applications of Work ? energy method.

[4M]

PART -B

2 a) Two forces of magnitude 240 N and 200 N are acting at a point O as shown in fig.

below. If the angle between the force is 60

0

, Determine the magnitude of the

resultant force. Also determine the angle ? and ? as shown in fig. below

[8M]

b) A load of 500 N is lying on an inclined plane, whose inclination with the horizontal

is 30?. If the coefficient of friction between the load and the plane is 0.4, find the

minimum and maximum horizontal force, which will keep the load in equilibrium.

[8M]

3 a) State and Prove Lami?s Theorem.

[8M]

b) An electric light fixture weighting 15 N hangs from a point C, by two strings AC

and BC. The string AC is inclined at 60? to the horizontal and BC at 45? to the

horizontal as shown in Fig.Using Lami?s theorem, or otherwise, determine the

forces in the strings AC and BC.

[8M]

R13

SET – 1

1 of 3

4 Determine the centroid for the following figure:

[16M]

5 Find the moment of inertia of the section as shown in the fig about centroidal axis

XX perpendicular to the web.

2 of 3

[16M]

R13

SET – 1

Code No: PT32051/RA

6 A projectile fired from the edge of a 150 m high cliff with an initial velocity of 180

m/s at an angle of elevation of 30? with the horizontal. Neglecting air resistance

find (i) The greatest elevation above the ground reached by the projectile (ii) Horizontal distance from the gun to the point, where the projectile strikes the

ground

[16M]

7 A body of weight 1 KN is on the horizontal surface of a table. This weight is

connected to another body of weight 2 KN by a string passing over a smooth pulley

fixed at the corner of the table. The coefficient of friction between 1 KN weight and

the table surface is 0.20. If the system is released from rest, find the velocity of 2

KN weight after it has moved 1.2 m using the work-energy method.

[16M]

*****

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Code No: PT32051/RA

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