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Time: 3 Hours Max. Marks: 100
Instruction : Answer all questions.
Mention different types of force systems.
What are the characteristics of a force ? Explain with a help of neat sketch.
Mention the importance of centroid and moment of lnertia in engineering field.
Briefly explain second moment of area and moment of Inertia.
Define the terms :
i) Limiting friction ii) Static friction iii) Kinetic friction.
0 List the basic assumptions made in the analysis of pin jointed truss.
g) Briefly explain redundant and deficient truss.
h) State and explain Newton's laws of motion.
2. a) Show that the resultant force is zero for the force system as shown in Figure 2a.
KN
Figure 2a
Four forces acts on a rectangle in the same plane as shown in figure 2b. Find the
magnitude and direction of the resultant force. Also find inter section of line
of action of resultant with x and y axis D as origin.
1500 N
Figure 2b
M 21001
(8x5=40)
7
"-- .:{B
\
ta --+ \
r+--t.2
I
T
Y or;.
OR
lSooN
P.T.O.
M 21001 a- |ilil||il[f [ffilililililtrffiilll
c) Three cylinders are pited in a rectangular ditch as shown in figure 2c, Determine
the reaction between cylinder A and vertical wall. 15
All dimensions in mm
Figure 2c
3. a) Locate the centroid of a triangle from first principles.
b) In figure 3b, if the weight of the block A is 500 kN. Find the minimum weight of
the block B for motion to be impendino' Given p = a'2 for all surfaces'
Figure 3b
OR
For the shaded area shown in figure 3c find the following
a) Position of centroid
b) Second moment of area about base
c) The radius of gyration about the base.
6
9
c)
A
500 kN
1 5
||[ffiilffit[illllrlililil||ll -3-
L
lr tr rlc
I ts 2a +o 30
M
All dimensions inmm
Figure 3c
4. a) Determine the reactions at supports for a beam as shown in figure 4a.
Figure 4a
b) Draw SFD and BMA for the beam loaded as shown in figure 4b.
2kN l+.1.il 2kN
M 21001
7
too kN
uovN | -
I
lrn lrn
Figure 4b
OR
lm lrn
M I ll]ilfi illillllilll lllil lillllll21001 -+
c) Determine the forces in the members of the king port truss as shown in
figure 4c.
5. a)
b)
1 5
c)
1
lf a stone falls past a window 1.5 m heightin V second, find the height from which
the stone fell.
lf 1200 N block rests on a horizontal plane find the force P required to give the block
an acceleration of 3m/sec2 to the right. Take the coefficient of friction
between the block and the plane as 0.30.
OR
Find acceleration and tension in the string of the system shown in figure 5c. coefficient
of the friction F = 0.3 for all planes of the contact. Pulley is smooth.
Also determine the velocity of the system in 4 seconds after starting from rest. 1 5
Figure 4c
?
Time: 3 Hours Max. Marks: 100
Instruction : Answer all questions.
Mention different types of force systems.
What are the characteristics of a force ? Explain with a help of neat sketch.
Mention the importance of centroid and moment of lnertia in engineering field.
Briefly explain second moment of area and moment of Inertia.
Define the terms :
i) Limiting friction ii) Static friction iii) Kinetic friction.
0 List the basic assumptions made in the analysis of pin jointed truss.
g) Briefly explain redundant and deficient truss.
h) State and explain Newton's laws of motion.
2. a) Show that the resultant force is zero for the force system as shown in Figure 2a.
KN
Figure 2a
Four forces acts on a rectangle in the same plane as shown in figure 2b. Find the
magnitude and direction of the resultant force. Also find inter section of line
of action of resultant with x and y axis D as origin.
1500 N
Figure 2b
M 21001
(8x5=40)
7
"-- .:{B
\
ta --+ \
r+--t.2
I
T
Y or;.
OR
lSooN
P.T.O.
M 21001 a- |ilil||il[f [ffilililililtrffiilll
c) Three cylinders are pited in a rectangular ditch as shown in figure 2c, Determine
the reaction between cylinder A and vertical wall. 15
All dimensions in mm
Figure 2c
3. a) Locate the centroid of a triangle from first principles.
b) In figure 3b, if the weight of the block A is 500 kN. Find the minimum weight of
the block B for motion to be impendino' Given p = a'2 for all surfaces'
Figure 3b
OR
For the shaded area shown in figure 3c find the following
a) Position of centroid
b) Second moment of area about base
c) The radius of gyration about the base.
6
9
c)
A
500 kN
1 5
||[ffiilffit[illllrlililil||ll -3-
L
lr tr rlc
I ts 2a +o 30
M
All dimensions inmm
Figure 3c
4. a) Determine the reactions at supports for a beam as shown in figure 4a.
Figure 4a
b) Draw SFD and BMA for the beam loaded as shown in figure 4b.
2kN l+.1.il 2kN
M 21001
7
too kN
uovN | -
I
lrn lrn
Figure 4b
OR
lm lrn
M I ll]ilfi illillllilll lllil lillllll21001 -+
c) Determine the forces in the members of the king port truss as shown in
figure 4c.
5. a)
b)
1 5
c)
1
lf a stone falls past a window 1.5 m heightin V second, find the height from which
the stone fell.
lf 1200 N block rests on a horizontal plane find the force P required to give the block
an acceleration of 3m/sec2 to the right. Take the coefficient of friction
between the block and the plane as 0.30.
OR
Find acceleration and tension in the string of the system shown in figure 5c. coefficient
of the friction F = 0.3 for all planes of the contact. Pulley is smooth.
Also determine the velocity of the system in 4 seconds after starting from rest. 1 5
Figure 4c
?
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