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ENGINEERING MECHANICS
QUIZ
Question - 1
If the resultant of the given force system is a couple,
the magnitude of force P is
(a) 10 N
(b) 10√5
(c) 20
(d) 10√2
Answer - 1
(b) 10√5
Question - 2
‘A’ says that two forces will be in
equilibrium only if they are equal in
magnitude and opposite in direction.
‘B’ says that concurrent coplanar
force system can be obtained by
removing one or more forces from
any non-concurrent force system.
Who is right?
(a) Only ‘A’
(b) Only ‘B’
(c) Both ‘A’ and ‘B’(d) Neither ‘A’ nor
Answer - 2
(b) Only ‘B’
Question - 3
The FBD of the Light rod BC shown in
figure is given by
(b)
(a)
(c)
(d)
Answer - 3
(c)
Question - 4
‘A’ says that a force cannot be resolved
into three coplanar components
acting in three directions.
‘B’ says that if three forces, P, Q, R
[P>Q>R] acting at a point are in
equilibrium, then P must be less than
or equal to (Q+R). Who is correct?
(a) Only ‘A’
(c) Both ‘A’ and ‘B’
‘B’
(b) Only ‘B’
(d) Neither ‘A’ nor
Answer – 4
(b) Only ‘B’
Question - 5
In a system of non-concurrent
coplanar forces the three equations
of equilibrium can be represented as
(a) ΣX = 0 ; ΣY = 0 ; ΣM = 0
(b) ΣX = 0 ; ΣMA = 0 ; ΣMB = 0 (line AB
is NOT perpendicular to direction X)
(c) ΣMA = 0 ; ΣMB = 0 ; ΣMC = 0 (A,B,C
are NOT collinear)
(d) All the above
Answer – 5
(d) All the above
Question - 6
The moment of a force about
any point is numerically
equal to ____ times the area of
the triangle whose base is the
line representing the force;
and vertex is the point about
which moment is taken.
(a) ½
(c) 2
(b) 1
(d) 3
Answer – 6
(c) 2
Question - 7
The SFD of a simple supported
symmetrically loaded beam is
given
in
the
figure.
The
maximum
BM
will
be
____________KN-m.
Answer – 7
10 KN - m
Question - 8
The truss shown in the figure is
(a) deficient
(b) perfect
(c) redundant –(with first degree)
(d) redundant - (with second degree)
truss
Answer – 8
(b) perfect
Question - 9
A beam ABCD is loaded such that
B.M. at ‘C’ is equal to zero. The beam
is cut at ‘C’ and then the two parts of
the beam are connected by a hinge
at ‘C’. If the same load is now
applied on the beam, then
(a) SFD will not change
(b) BMD will not change
(c) both SFD & BMD will not change
(d) the beam will collapse under the
load
Answer – 9
(c) both SFD & BMD will not change
Question - 10
The value of maximum bending
moment in the beam AB shown
in the figure will be _______ KNm.
Answer – 10
10 KN - m
Question - 11
Consider the beam AB. The
magnitude of couple M required to
be applied such that the shear force
and bending moment –(both)- at
point A are zero, will be ______ KNm.
Answer – 11
M = 3 KN - m
Question - 12
The number of zero-force members in
the truss shown in the figure will be
(a) 2
(b) 3
(c) 4
(d) 5.
Answer – 12
(d) 5.
Question - 13
The figure shows a rectangular section
ABCD
size 2 cm x 4 cm. Out of
moments of inertia Ix, Iy, IAB, IAD the
following will have Least value.
(a) Ix
IAD
(b) Iy
(c) IAB
(d)
Answer - 13
(b) Iy
Question - 14
A circular hole of diameter 10 cm is
cut in the circular plate of radius 10
cm. The point which approximately
represents the location of the cut –
circle is
(a) A
(b) O
(c) C
(d) B
Answer - 14
(a) A
Question - 15
In a bending moment diagram,
sudden drop in its value
(vertical line) at any section
indicates that
(a) a couple is acting at that
section
(b) the shear force is zero at that
section
(c) the shear force is maximum
at that section
Answer – 15
(a) a couple is acting at that
section
Question - 16
In the bending moment diagram
of a beam, if the bending
moment at any point (section) is
zero, then
(a) the shear force at that point
will be maximum
(b) the load at that point must be
zero
(c) that point is called point of
contraflexure
Answer - 16
(c) that point is called point of
contraflexure
Question - 17
‘A’ says that a redundant truss
cannot be completely analyzed
using method of joints alone.
‘B’ says that external load on a truss
must be applied only at the pin
joints and not between the joints.
Who is correct?
(a) only A
(c) both A and B
(b) only B
(d) neither A nor B
Answer – 17
(c) both A and B
Question - 18
‘A’
says that while applying the
parallel axis theorem between
two parallel axes, one of the two
axes must be a centroidal axis.
‘B’ says that the polar moment of
inertia about the center of a
circle is two times the moment of
inertia about its diameter. Who
is correct?
(a) only A
(b) only B
(c) both A and B
(d) neither A
nor B
Answer – 18
(c) both A and B
Question - 19
‘A’ says that if the density of a body is
not uniform throughout, then the
center of mass will not coincide
with the center of gravity of the
body.
‘B’ says that the centroid of a body is
a geometric property, and it does
not depend on the manner in which
the density varies within the body.
Who is correct?
(a) only A
(b) only B
(c) both A and B
(d) neither A nor
B
Answer – 19
(b) only B
Question - 20
‘A’ says that while applying
method of sections, we cannot
take a section which cuts more
than three members of the truss.
‘B’ says that method of joints is
based on the equilibrium of
coplanar non-concurrent force
system. Who is correct?
(a) only A
(c) both A and B
(b) only B
(d) neither A nor B
Answer - 20
(d) neither A nor B
Question - 21
Consider a cantilever beam carrying a
uniformly
distributed
load
throughout
its
length
and
a
concentrated load at the free end.
Find
which
of
the
following
statements related to shear force (F)
and bending moment (M) at the free
end is TRUE.
(a) Both F and M are zero
(b) Both F and M are non-zero
(c) F is zero, but M is non-zero
Answer – 21
(d) F is non-zero but M is zero
Question - 22
Find horizontal reaction at A
Answer – 22
HA = 1500 N
Question - 23
In a system of three nonconcurrent coplanar forces, the
three forces can be represented
by the sides of a triangle taken
in order. Then their resultant
will be
(a) zero
(b) a force and a couple
(c) a force
(d) a couple.
Answer – 23
(d) a couple.
Question - 24
A beam AB of length 2L carries a
central load P and is hinge-supported
at A and B on two cantilevers. The
correct value of BM at A will be
_________.
Answer – 24
Zero
Question – 25
Match List-I (a, b, c, d) with List-II (1, 2, 3, 4)
List-I
(a)Two forces acting on a body, moving
with a uniform velocity
(b) A moving particle
(c)Two coplanar parallel forces equal in
magnitude and opposite in direction acting
on a body
(d) Two unequal forces acting on a body
List-II
(1) Kinetic energy
(3) Forces in equilibrium

(2) Couple
(4) cause acceleration
Answer – 25
A
–3
B – 1
C – 2
D - 4
Question - 26
The resultant of given parallel force
system is a single force of magnitude 10
N passing through the point
(a) A
(b) B
(c ) C
(d) none of these
Answer – 26
(b) B
Question - 27
Replace the given force system by a single
force at ‘A’ and a couple.
Answer - 27
F = 300 N (right)
M = 23000 N –cm ( clockwise )
Question - 28
Find ‘T’ so that the integral pulley is
in equilibrium.
Answer – 28
T = 60 N
Question - 29
The reaction at point ‘B’ will be greatest
in case no. _________. (No calculations
needed)
Answer – 29
(c)
Question - 30
In the beam shown in the Figure, find Reaction at
B.
Answer – 30
RB = 17.1 KN
Question - 31
Find resultant of the force system
shown in figure
Answer – 31
 Couple
)
120 N – m ( counter clockwise
Question - 32
Find WRONG statement out of the following :
(a) Coefficient of friction is the ratio of
limiting force of friction to the weight of the
body
(b) Coefficient of friction depends on the
materials of the bodies in contact
(c) Angle of friction is the angle between
normal reaction and total resultant
reaction.
(d) For a body resting on an inclined plane,
the angle of repose will be greater than the
angle of inclination of the plane.
Answer - 32
(a) Coefficient of friction is the ratio of
limiting force of friction to the weight of the
body
Question - 33
Consider the following statements :
Assertion (A): The resultant of UDL is a
single concentrated load having magnitude
equal to the area under load diagram.
Reason ( R ) : The line of action of the
resultant force passes through the centroid
of the area under load diagram.
Select your answer using the codes given
below :
(a) both A and R are true and R is the correct
explanation of A.
(b) both A and R are true and R is not correct
explanation of A
(c ) A is true but R is false.
Answer - 33
(b) both A and R are true and R is not correct
explanation of A
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