Engineering Mechanics Quiz

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Engineering Mechanics Quiz
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• Question - 1
• If the resultant of the given force system is a
  couple, the magnitude of force P is
• (a) 10 N (b) 10v5 (c) 20 (d) 10v2

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• Answer - 1
• (b) 10v5

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• 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 B

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• Answer - 2
• (b) Only B

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• Question - 3
• The FBD of the Light rod BC shown in figure is
  given by

(b)
(a)
(d)
(c)
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• Answer - 3

(c)
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• 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 PgtQgtR
  acting at a point are in equilibrium, then P must
  be less than or equal to (QR). Who is correct?
• (a) Only A (b) Only B
• (c) Both A and B (d) Neither A nor B
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• Answer 4
• (b) Only B
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• Question - 5
• In a system of non-concurrent coplanar forces the
  three equations of equilibrium can be represented
  as
• (a) SX 0 SY 0 SM 0
• (b) SX 0 SMA 0 SMB 0 (line AB is NOT
  perpendicular to direction X)
• (c) SMA 0 SMB 0 SMC 0 (A,B,C are NOT
  collinear)
• (d) All the above

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• Answer 5
• (d) All the above

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• 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 (b) 1
• (c) 2 (d) 3

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• Answer 6
• (c) 2

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• Question - 7
• The SFD of a simple supported symmetrically
  loaded beam is given in the figure. The maximum
  BM will be ____________KN-m.
•  

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• Answer 7
• 10 KN - m

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• Question - 8
• The truss shown in the figure is
• (a) deficient (b) perfect
• (c) redundant (with first degree)
• (d) redundant - (with second degree) truss

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• Answer 8
• (b) perfect

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• 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
•  

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• Answer 9
• (c) both SFD BMD will not change
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• Question - 10
• The value of maximum bending moment in the beam
  AB shown in the figure will be _______ KN-m.

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• Answer 10
• 10 KN - m

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• 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 ______ KN-m.
•  

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• Answer 11
• M 3 KN - m

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• 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.

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• Answer 12
• (d) 5.

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• 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 (b) Iy (c) IAB
  (d) IAD

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• Answer - 13
• (b) Iy

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• 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

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• Answer - 14
• (a) A

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• 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
• (d) the point of contraflexure lies at that
  section

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• Answer 15
• (a) a couple is acting at that section

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• 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
• (d) none of these

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• Answer - 16
• (c) that point is called point of contraflexure

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• 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 (b) only B
• (c) both A and B (d) neither A nor B
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•  
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• Answer 17
• (c) both A and B
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•  

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• 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

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• Answer 18
• (c) both A and B

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• 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
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• Answer 19
• (b) only B
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• 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 (b) only B
• (c) both A and B (d) neither A nor B
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•  

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• Answer - 20
• (d) neither A nor B
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• 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
• (d) F is non-zero but M is zero

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• Answer 21
• (d) F is non-zero but M is zero

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• Question - 22
• Find horizontal reaction at A

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• Answer 22
• HA 1500 N

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• Question - 23
• In a system of three non-concurrent 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.

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• Answer 23
• (d) a couple.

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• 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 _________.
•  

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• Answer 24
• Zero

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• 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 (2)
  Couple
• (3) Forces in equilibrium (4) cause
  acceleration
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•  

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• Answer 25
• A 3
• B 1
• C 2
• D - 4 

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• 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
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• Answer 26
• (b) B
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• Question - 27
• Replace the given force system by a single force
  at A and a couple.

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• Answer - 27
• F 300 N (right)
• M 23000 N cm ( clockwise )

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• Question - 28
• Find T so that the integral pulley is in
  equilibrium.

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• Answer 28
• T 60 N

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• Question - 29
• The reaction at point B will be greatest in
  case no. _________. (No calculations needed)

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• Answer 29
• (c)

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• Question - 30
• In the beam shown in the Figure, find Reaction at
  B.

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• Answer 30
• RB 17.1 KN

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• Question - 31
• Find resultant of the force system shown in
  figure

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• Answer 31
• Couple 120 N m ( counter clockwise )

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• 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.
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• Answer - 32
• (a) Coefficient of friction is the ratio of
  limiting force of friction to the weight of the
  body
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• 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.
• (d) A is false but R is true.
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• Answer - 33
• (b) both A and R are true and R is not correct
  explanation of A  

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• THANKS