Download AKTU B-Tech 1st Sem 2015-2016 ME 101 Engineering Mechanics Question Paper

Download AKTU (Dr. A.P.J. Abdul Kalam Technical University (AKTU), formerly Uttar Pradesh Technical University (UPTU)) B-Tech 1st Semester (First Semester) 2015-2016 ME 101 Engineering Mechanics Question Paper

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Printed Pages: 5 530 ' ME-lOl
(Following Paper ID and Roll No. to be filled in your
Answer Book)
B.Tech
(SEM. DTHEORY EXAMINATION. 2015-16
ENGINEERING MECHANICS
[Time:3 hours] [MaximumMarksleO]
SECTION?A
Attempt all parts. All parts carry equal marks. Write
answer of each part in short. (2X 10=20)
(a) State the Lami?s theorem.
(b) State the assumptions made in the analysis of pin
jointed trusses.
(c) With the help of neat sketch explain the principle
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of transmissibility.
(d) State the laws of dry frictioh.
(e) Distinguish between centroid and centre of gravity.
(0 State the perpendicular axis theorem.
(g) Name various types of trusses.
(h) Name various types of force system.
(1) P.T.O.

Attempt any five questions from this sections. (5x10=50) 1
(i) De?ne the principle of virtual work.
(i) State the D?Alembert?s principle.
SECTION-B
2. (a) State prove the Varignon?s theorem.
(b) Explain and prove the Parallelogram law of forces.
3. Perive the expression for the relationship between tight
Side and slack side forces in a belt friction problem.
4. F ind the forces in all the members of cantilever truss
loaded 1000 N as shown in ?g 1
5. Find the resultant and position of the resultant of a set
of coplanar forces acting on a lamina as shown in F ig.2
Each square has side of 10 mm.
Ap' /' 2 ltN
*R
\ ?I ,
0 mi LY x ,-,,_.MM____..
1.5 kN Fig 3 5 RN Fig 1 lOOON
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Derive an expression for mass moment of inertia for a
sphere about its centroidal axis.
A bullet of 10 gm is ?red into a body mass of lKg
which is suspended by a string 1m long. The bullet is
embedded in the body & due to impact, the body swings
through an angle of 182?. Find the velocity of the
bullet.
A uniform ladder weighing 200 N rests with its upper
end against a smooth vertical wall andits foot on a rough
horizontal ground making 60" angle with ground.
Determine friction force of ground using method of
virtual work.
A particle moves along a straight line and its motion is
represented by the equation s=16t+4t2 ?3t3 where s in
meters & t in seconds. Determine:(a) displacement,
velocity & acceleration 2 seconds after start. (b) '
Displacement & acceleration when velocity is zero. (c)
Displacement & velocity when acceleration is zero.
SECI'ION-C
Attempt any two questions from this section. (15X2=3 0)
10.
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(a) A uniform wheel weighing 20kN and 600mm
diameter rests against 150mm thick rigid block as
shown in ?g a. Considering all surfaces to be
smooth, determine(a) the least pull through the
' (3) ME-101

centre of wheel to just turn the wheel over the 12. Two blocks weighing 800 N and 200 N and connected
comer of the block. (b) Reaction of the block as by a thread, are pulled by 400 N forces on a rough
shown in ?g 3. horizontal surface as shown in Figure 5 given below. If
coef?cient of friction between blocks and plane is '
? P 0.3.Using D?Alembens principle and also by using work
energy principle determine acceleration of the blocks
and tension in thread.
800 N
200 N _?
F, 3\\'\.?\\'\\ \
lg
2
(b) Determine the moment of inertia of a circle of
radius R about its centroidal axis.
11. Find the moment of inertia of I section shown in ?g 4
about its centroidal axis.
80
150 l2 12
10
<.____120____> 1
Fig.4
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