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Combined First and Second Sem. B.Tech. Engineering
Regular/Supplementary Degree Examination, April 2010
2K6EN IO4: ENGINEERING MECHANICS
Time : 3 Hours Max. Marks : 100
Instruction : Answer all questions.
With the aid of a neat sketch explain 'Free body diagrams'.
State the equilibrium conditions for concurrent and general system of forces.
Define :
r) Angle of friction.
ii) Cone of friction.
d) Derive the coordinates of centroid of right angled triangle from first principles.
e) Explain any two types of supports with FBD.
0 Explain the method of sections in the analysis of plane trusses.
g) State and explain Newton's second law of motion.
h) Discuss transformation and conversion of energy. (8x5=4
2. a) Determine the resultant force acting on the structure at point 'O' both in
magnitude and direction (Ref. Fig. 2(a)).
3 vnFig.
2(a)
1. a)
b)
c)
P.T.O.
M 17362 -2-
b) Compute the tensions in the strings AB, BC, CD and angle 0 shown in the
., Fie.2(b).
Fie. 2(b)
OR
Determine the resultant of the system of concurrent forces having the following
magnitudes and passing through origin and the indicated points.
P = 280 N (+ 12, + 6, - 4),7 = 520N (-3, - 4, +12),F = 270N (+ 6, -3,- 6).
Determine the magnitude, direction and point of application of resultant force
for the force system as shown in Fig. 2(d) using vector approach.
| ilililil iltilt |ilililt ]llt il] iltl
8
c)
d)
5eru
Fie. 2(d)
3. a) Locate the centroid of the shaded area shown
X and Y axes as shown :
in the Fig. 3(a) with respect to
8
SM
Q" Somt'
Fie. 3(a)
I |l|illf, i lllll |ilil 1ilil |ilil illrlll
4. a) Determine
Fig. 4(a).
-3- M 17362
b)
c)
Derive the expression for moment of inertia of a circle of diameter 'D' about its
diametral axes.
OR
Two blocks A and B weighing 3 kN and I kN are connected by a wire passing
over a smooth frictionless pulley as shown in Fig. 3(c).
Determine the magnitude of force 'P' required to impend motion towards the
force 'P' taking p = 0.2.
h P
Fig. 3(c)
d) Compute the product of inertia of the area shown in the Fig. 3(d) with respecto
X and Y axes as shown.
/tOtnr.
Fie. 3(d)
the reactions at supports for the beam AB loaded as shown in
7
\ oe^
lro*'
L:
ffit,
M 17362 I tilililtlil |ililililtilfi1ltilttlil lltl
b) Draw SFD and BMD for the beam AB loaded as shownin Fig. 4(b).
\S Rlq
Fie. 4(b)
OR
c) Determine the forces in all members of the truss shown in Fig. 4(c).Tabulate the
results with the type of forces to all members. 15
e FI.,
/1U
Fie. a@)
A cage descends a mine shaft with an acceleration of 0.6 m/s2. After the cage
has travelled 30.0 m a stone is droppeC from the top of the shaft. Determine :
r) The time taken by the stone to hit the cage.
ii) Distance travelled by the cage before impact.
iii) Velocity of stone while striking the cage.
OR
A projectile is aimed at a mark on the horizontal plane and falls 12 mshort when
the angle of projection is 15" while it overshoots by 24 mwhen.the angle is 45" .
Find the angle of projection to hit the mark. Assume no air resistance.
Discuss the simple harmonic motion with example.
Combined First and Second Sem. B.Tech. Engineering
Regular/Supplementary Degree Examination, April 2010
2K6EN IO4: ENGINEERING MECHANICS
Time : 3 Hours Max. Marks : 100
Instruction : Answer all questions.
With the aid of a neat sketch explain 'Free body diagrams'.
State the equilibrium conditions for concurrent and general system of forces.
Define :
r) Angle of friction.
ii) Cone of friction.
d) Derive the coordinates of centroid of right angled triangle from first principles.
e) Explain any two types of supports with FBD.
0 Explain the method of sections in the analysis of plane trusses.
g) State and explain Newton's second law of motion.
h) Discuss transformation and conversion of energy. (8x5=4
2. a) Determine the resultant force acting on the structure at point 'O' both in
magnitude and direction (Ref. Fig. 2(a)).
3 vnFig.
2(a)
1. a)
b)
c)
P.T.O.
M 17362 -2-
b) Compute the tensions in the strings AB, BC, CD and angle 0 shown in the
., Fie.2(b).
Fie. 2(b)
OR
Determine the resultant of the system of concurrent forces having the following
magnitudes and passing through origin and the indicated points.
P = 280 N (+ 12, + 6, - 4),7 = 520N (-3, - 4, +12),F = 270N (+ 6, -3,- 6).
Determine the magnitude, direction and point of application of resultant force
for the force system as shown in Fig. 2(d) using vector approach.
| ilililil iltilt |ilililt ]llt il] iltl
8
c)
d)
5eru
Fie. 2(d)
3. a) Locate the centroid of the shaded area shown
X and Y axes as shown :
in the Fig. 3(a) with respect to
8
SM
Q" Somt'
Fie. 3(a)
I |l|illf, i lllll |ilil 1ilil |ilil illrlll
4. a) Determine
Fig. 4(a).
-3- M 17362
b)
c)
Derive the expression for moment of inertia of a circle of diameter 'D' about its
diametral axes.
OR
Two blocks A and B weighing 3 kN and I kN are connected by a wire passing
over a smooth frictionless pulley as shown in Fig. 3(c).
Determine the magnitude of force 'P' required to impend motion towards the
force 'P' taking p = 0.2.
h P
Fig. 3(c)
d) Compute the product of inertia of the area shown in the Fig. 3(d) with respecto
X and Y axes as shown.
/tOtnr.
Fie. 3(d)
the reactions at supports for the beam AB loaded as shown in
7
\ oe^
lro*'
L:
ffit,
M 17362 I tilililtlil |ililililtilfi1ltilttlil lltl
b) Draw SFD and BMD for the beam AB loaded as shownin Fig. 4(b).
\S Rlq
Fie. 4(b)
OR
c) Determine the forces in all members of the truss shown in Fig. 4(c).Tabulate the
results with the type of forces to all members. 15
e FI.,
/1U
Fie. a@)
A cage descends a mine shaft with an acceleration of 0.6 m/s2. After the cage
has travelled 30.0 m a stone is droppeC from the top of the shaft. Determine :
r) The time taken by the stone to hit the cage.
ii) Distance travelled by the cage before impact.
iii) Velocity of stone while striking the cage.
OR
A projectile is aimed at a mark on the horizontal plane and falls 12 mshort when
the angle of projection is 15" while it overshoots by 24 mwhen.the angle is 45" .
Find the angle of projection to hit the mark. Assume no air resistance.
Discuss the simple harmonic motion with example.
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