JNTU Kakinada B-Tech 1-1 R161111 ENGINEERING MECHANICS R16 May 2018 Question Paper

JNTU Kakinada (JNTUK) B-Tech First Year First Semester (1-1) ENGINEERING MECHANICS Common to to CE,EEE,ME,Aero E,Auto E,Bio-Tech,Chem E, Min E,Metal E, PE, PChem E R16 Regulation May 2018 Question Paper

Code No: R161111
I B. Tech I Semester Supplementary Examinations, May – 2018
ENGINEERING MECHANICS (Com. to CE,EEE,ME,Aero E,Auto E,Bio-Tech,Chem E, Min E,Metal E, PE, PChem E)Time: 3 hours Max. Marks: 70
Note: 1. Question Paper consists of two parts (Part-A and Part-B) 2. Answer ALL the question in Part-A
3. Answer any FOUR Questions from Part-B
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PART ?A
1. a) Explain (i) coefficient of friction; (ii) cone of friction. (2M)
b) Two forces are acting on a body and the body is in equilibrium. What conditions
should be fulfilled by these two forces? (2M)
c) Define centriod and centre of gravity. (2M)
d) Define mass moment of inertia and explain the transfer formula for mass moment
of inertia. (2M)
e) What are the parameters that define rectilinear motion? State the relationship
between these parameters. (2M)
f) State the law of conservation of momentum. (2M)
g) State the assumptions made while studying projectile motion. (2M)
PART -B
2. a) What do you understand by the term?Couple?? Discuss the characteristics of a
couple. (6M)
b) Figure shows two vertical forces and a
couple of moment 2000 N-m acting on
a horizontal rod which is fixed at end A.
Determine the resultant of the system.
(8M)
3. a) State and Prove Lami?s theorem. (6M)
b) A 10 m boom supports a load of 600
kg, as shown in the figure. The cable
BC is horizontal and 5m long.
Determine the forces in the boom and
the cable.

(8M)
SET – 1
R16
1 of 2

Code No: R161111
I B. Tech I Semester Supplementary Examinations, May – 2018
ENGINEERING MECHANICS (Com. to CE,EEE,ME,Aero E,Auto E,Bio-Tech,Chem E, Min E,Metal E, PE, PChem E)Time: 3 hours Max. Marks: 70
Note: 1. Question Paper consists of two parts (Part-A and Part-B) 2. Answer ALL the question in Part-A
3. Answer any FOUR Questions from Part-B
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PART ?A
1. a) Explain (i) coefficient of friction; (ii) cone of friction. (2M)
b) Two forces are acting on a body and the body is in equilibrium. What conditions
should be fulfilled by these two forces? (2M)
c) Define centriod and centre of gravity. (2M)
d) Define mass moment of inertia and explain the transfer formula for mass moment
of inertia. (2M)
e) What are the parameters that define rectilinear motion? State the relationship
between these parameters. (2M)
f) State the law of conservation of momentum. (2M)
g) State the assumptions made while studying projectile motion. (2M)
PART -B
2. a) What do you understand by the term?Couple?? Discuss the characteristics of a
couple. (6M)
b) Figure shows two vertical forces and a
couple of moment 2000 N-m acting on
a horizontal rod which is fixed at end A.
Determine the resultant of the system.
(8M)
3. a) State and Prove Lami?s theorem. (6M)
b) A 10 m boom supports a load of 600
kg, as shown in the figure. The cable
BC is horizontal and 5m long.
Determine the forces in the boom and
the cable.

(8M)
SET – 1
R16
1 of 2

Code No: R161111

4. a) State and prove Pappus theorems of area and volume. (6M)
b) Determine the centre of gravity of the
following figure.
(8M)
5. a) An isosceles triangle section ABC has a base of 100mm and 60mm height.
Determine the moment of inertia of triangle about the centroid and about base. (6M)
b) Find the moment of inertia of the
following figure about the given XX-
axes. (8M)
6. a) A stone, dropped from a certain height, can reach the ground in 5s. It is stopped
after 3 seconds of its fall and then allowed to fall again. Find the time taken by the
stone to reach the ground for the remaining distance. (6M)
b) Two trains P and Q leave the same station on parallel lines. Train P starts at rest
with uniform acceleration of 0.2 rad/s
2
attains a speed of 10 m/s. Further the speed
is kept constant. Train Q leaves 30 seconds later with uniform acceleration of 0.5
m/s
2
from rest and attains a maximum speed of 20 m/s, when will train Q overtake
train P. (8M)
7. a) Determine the work done by an electric motor in winding up a uniform cable
which hangs from a hoisting drum if its free length is 20m and weighs 800N. The
drum is rotated by the motor. (6M)
b) A 20 kg block starting from rest slides up a 30
0
inclined plane under the action of
a 175 N force directed along the inclined plane. The coefficient of kinetic friction
between the block and the plane is 0.2. Determine the (i) speed of the block after it
slides 4.5 m and (ii) the distance travelled by the block when its speed becomes
4.5 m/s. (8M)

2 of 2
SET – 1
R16