Download DBATU B-Tech 1st Year 2017 Dec Engineering Mechanics 5 Question Paper

Download DBATU (Dr. Babasaheb Ambedkar Technological University) B.Tech First Year 2017 Dec Engineering Mechanics 5 Question Paper

5/3009, Q2
DR. BABASAHEB AMBEDKAR TECHNOLOGICAL UNEVERSETY
LONERE ? RAIGAD - 402 103
End Semester Examination ? December - 2017
Branch: B. Tech (Group A/Group B) Semester: I
Subject with Subject Code: Engineering Mechanics Marks: 60
[ME102]
Date:- 13/12/2017 Time: 3 Hrs.
Instructions to the Students
1. Each question carries 12 marks.
2. Attempt any five questions of the following.
3. Illustrate your answers with neat sketches, diagram etc., wherever necessary.
4. If some part or parameter is noticed to be missing, you may appropriately
assume it and should mention it clearly
(Marks)
(2.1. A) HOW Will you add two forces? Explain the Parallelogram Law and Law
of Triangle of forces. (6M)
B) Two ropes are tied together at C. If the maximum permissible tension in
each rope is 3.5 kN, what is the maximum force P that can be applied
and in what direction as shown in figure 1. (6M)
20?
?/A/ .///////r///1?//////////.: (/27;
Figure 1
Q2. A) What are various types of supports and support reactions? Explain With
its free body diagram. (4M)
B) Using the method of j oints, find the axial forces in all the members of a
truss with the loading shown in the Figure 2. (8M)
m

Figure 2
Q3. ..
A) Locate the centroid of the shaded area obtained by removing a semicircle
of diameter a from a quadrant of a circle of radius a as shown in Fig. 3.
(5M)
Figure 3
B) A 7111 long ladder rests against a vertical wa?, with which it makes an angle
of 45?, and on a ?oor. If a man, whose weight is one half of that of the ladder,
Climbs it, at what distance along the ladder will he be, when the ladder is
about to slip shown in Figure 4? The coef?cient of friction between the ladder
and the wall is 1/3 and that between the ladder and the floor is 1/2.
(6M)

Slipping
1: 5
1 N /
7 g ?fv /I/// // // / ////// / [1/71? X
/
A
(51%)
A
N
Figure 4
Q.4.
A) A trolley resting on a horizontal plane starts from rest and is moved to the
right with a constant acceleration of 0.18 m/s2 shown in Figure 5.
Determine:
i) acceleration of the block B connected to the trolley and
ii) velocities of the trolley and the block after a time of 4 seconds and the
distance moved by each of them. (6M)
b a , T Tro?ufey
d. w
?W2: 01?
__-?_?f F?:
_ c-- -1 .?c
- e f.
ad 8 , Block
Figure 5
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B) A passenger train passes a certain station at 60 km/hr and covers a distance of
12 km with this speed and then stops at the next station 15 km from the first
With uniform retardation. A local train starting from the first station covers. the
same distance in double this time and stops at the next station. Determine the
maximum speed of the localtrain which covers a part of the distance With
uniform acceleration and the rest with uniform retardation. (6M)
Q.5. .
A) Explain in detail: D'Alemberts principle and write the equations of dynamic
equilibrium of the particle. (4M)
B) Two blocks of masses M1 and M2 are connected by a ?exible but (8M)
inextensible string as shown in the figure. Assuming the coefficient of
friction between block M1 and hon'zontal surface to be }1 find the
acceleration of the masses and tension in the string as per figure 6.
Assume M1: 10 kg and M2 = 5 kg, 11 = 0.25.
Figure '6"
(1.6.
A) A spring of stiffness 1000 N/m is stretched by 10 cm from the undeformed
position. Find the work of the spring force. Also find the work required to
stretch it by another 10 cm. (6M)
B) What do you understand by direct central impact? Also explain the
coef?cient of restitution. w) (6M)
\
KM
10ml"a
J
o
((3%)
Ohms
..
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