Applied Mechanics and Graphic Statics MCQ Questions and Answers in Civil Engineering

Question. In case of S.H.M. the period of oscillation (T), is given by
(a) T = 2ω/π²
(b) T = 2π/ω
(c) T = 2/ω
(d) T = π2/ω

Answer : B

Question. A marble ball is rolled on a smooth floor of a room to hit a wall. If the time taken by the ball in returning to the point of projection is twice the time taken in reaching the wall, the coefficient of restitution between the ball and the wall, is
(a) 0.25
(b) 0.50
(c) 0.75
(d) 1.0

Answer : B

Question. The motion of a bicycle wheel is
(a) Translatory
(b) Rotary
(c) Rotary and translatory
(d) Curvilinear

Answer : C

Question. A 49 kg lady stands on a spring scale in an elevator. During the first 5 sec, starting from rest, the scale reads 69 kg. The velocity of the elevator will be
(a) 10 m/sec
(b) 15 m/sec
(c) 20 m/sec
(d) 25 m/sec

Answer : C

Question. One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The tension in the string is
(a) 17.5 kg
(b) 19.5 kg
(c) 22.5 kg
(d) 25 kg

Answer : C

Question. If the linear velocity of a point on the rim of a wheel of 10 m diameter, is 50 m/sec, its angular velocity will be
(a) 20 rad/sec
(b) 15 rad/sec
(c) 10 rad/sec
(d) 5 rad/sec

Answer : D

Question. The following is not a law of static friction:
(a) The force of friction always acts in a direction opposite to that in which the body tends to move
(b) The force of friction is dependent upon the area of contact
(c) The force of friction depends upon the roughness of the surface
(d) The magnitude of the limiting friction bears a constant ratio to the normal reaction between two surfaces

Answer : A

Question. Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction.
The speeds of the objects are:
(a) 2 m/sec and 2 m/sec
(b) 3 m/sec and 2 m/sec
(c) 3 m/sec and 3 m/sec
(d) 4 m/sec and 6 m/sec

Answer : B

Question. A cable loaded with 10 kN/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are
(a) 1346.3 kN and 1500 kN
(b) 1436.2 kN and 1250 kN
(c) 1346.3 kN and 1250 kN
(d) 1436.2 kN and 1500 kN

Answer : C

Question. A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable ?
(a) pyramid
(b) prism
(c) both equally stable
(d) none of the above

Answer : A

Question. For a given velocity of a projectile, the range is maximum when the angle of projection is
(a) 30°
(b) 45°
(c) 90°
(d) 0°

Answer : B

Question. The angular speed of a car taking a circular turn of radius 100 m at 36 km/hr will be
(a) 0.1 rad/sec
(b) 1 rad/sec
(c) 10 rad/sec
(d) 100 rad/sec

Answer : A

Question. The centre of gravity of a quadrant of a circle lies along its central radius at a distance of 
(a) 0.2 R
(b) 0.4 R
(c) 0.3 R
(d) 0.6 R

Answer : D

Question. If l is the span of a light suspension bridge who's each cable carries total weight (w) and the central dip is y, the horizontal pull at each support, is
(a) wl/4y
(b) wl/8y
(c) wl/2y
(d) wl

Answer : B

Question. Two parallel forces 20 kg and 15 kg act. In order that the distance of the resultant from 20 kg force may be the same as that of the former resultant was from 15 kg, the 20 kg force is diminished by
(a) 5.5 kg
(b) 6.25 kg
(c) 8.75 kg
(d) 10.5 kg

Answer : C

Question. Two forces act an angle of 120°. If the greater force is 50 kg and their resultant is perpendicular to the smaller force, the smaller force is
(a) 20 kg
(b) 25 kg
(c) 30 kg
(d) 35 kg

Answer : B

Question. In a simple screw jack, the pitch of the screw is 9 mm and length of the handle operating the screw is 45 cm. The velocity ratio of the system is
(a) 1.5
(b) 5
(c) 25
(d) 314

Answer : D

Question. Which of the following is a scalar quantity?
(a) Energy
(b) Momentum
(c) Torque
(d) Impulse

Answer : A

Question. One Newton force, is
(a) 10³ dynes
(b) 10⁴ dynes
(c) 10⁵ dynes
(d) 10⁶ dynes

Answer : C

Question. A body is said to move with Simple Harmonic Motion if its acceleration, is
(a) Always directed away from the centre, the point of reference
(b) Proportional to the square of the distance from the point of reference
(c) Proportional to the distance from the point of reference and directed towards it
(d) Inversely proportion to the distance from the point of reference

Answer : C

Question. If the angular distance, 0 = 2t³ - 3t², the angular acceleration at t = 1 se(c) is
(a) 1 rad/sec²
(b) 4 rad/sec²
(c) 6 rad/sec²
(d) 12 rad/sec²

Answer : C

Question. The force polygon representing a set of forces in equilibrium is a
(a) Triangle
(b) Open polygon
(c) Closed polygon
(d) Parallelogram

Answer : C

Question. Pick up the correct statement from the following. A rubber ball when strikes a wall rebounds but a lead ball of same mass and velocity when strikes the same wall, falls down
(a) Rubber and lead balls undergo equal changes in momentum
(b) Change in momentum suffered by lead ball is less that of rubber ball
(c) Momentum of rubber ball is less than that of lead ball
(d) None of these

Answer : D

Question. Periodic time of a particle moving with simple harmonic motion is the time taken by the particle for
(a) Half oscillation
(b) Quarter oscillation
(c) Complete oscillation
(d) None of these

Answer : C

Question. One Newton is equivalent to
(a) 1 kg. wt
(b) 9.81 kg. wt
(c) 981 dyne
(d) (1/9.81)kg. wt

Answer : D

Question. On a ladder resisting on a smooth ground and leaning against a rough vertical wall, the force of friction acts
(a) Towards the wall at its upper end
(b) Away from the wall at its upper end
(c) Upwards at its upper end
(d) Downwards at its upper end

Answer : C

Question. Parallelogram Law of Forces states, "if two forces acting simultaneously on a particle be represented in magnitude and direction by two adjacent sides of a parallelogram, their resultant may be represented in magnitude and direction by
(a) Its longer side
(b) Its shorter side
(c) The diagonal of the parallelogram which does not pass through the point of intersection of the forces
(d) The diagonal of the parallelogram which passes through the point of intersection of the forces

Answer : D

Question. Effect of a force on a body depends upon its
(a) Direction
(b) Magnitude
(c) Position
(d) All the above

Answer : D

Question. A 50 kg boy climbs up a 8 m rope in gymnasium in 10 se(c) The average power developed by the boy is approximately
(a) 400 watts
(b) 500 watts
(c) 4000 watts
(d) None of these

Answer : A

Question. If two forces of 3 kg and 4 kg act at right angles to each other, their resultant force will be equal to
(a) 7 kg
(b) 1 kg
(c) 5 kg
(d) None of these

Answer : C

Question. A sphere is resting on two planes BA and BC which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane BA will be
(a) Less than that on BC
(b) More than that of BC
(c) Equal to that on BC
(d) None of these

Answer : B

Question. ‘μ’ is coefficient of friction. A wheeled vehicle travelling on a circular level track will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, is
(a) μ
(b) 2μ
(c) 3μ
(d) (1/2)μ

Answer : B

Question. A ball is dropped from a height of 2.25 m on a smooth floor and rises to a height of 1.00 m after the bounce. The coefficient of restitution between the ball and the floor is
(a) 0.33
(b) 0.44
(c) 0.57
(d) 0.67

Answer : D

Question. Minimum pull in a suspended cable with supports at two ends is equal to
(a) Horizontal thrust
(b) Support reactions
(c) Resultant of horizontal thrust and support reaction
(d) Half the weight of the cable

Answer : A

Question. The masses of two balls are in the ratio of 2 : 1 and their respective velocities are in the ratio of 1 : 2 but in opposite direction before impact. If the coefficient of restitution is 1/2, the velocities of separation of the balls will be equal to
(a) Original velocity in the same direction
(b) Half the original velocity in the same direction
(c) Half the original velocity in the opposite direction
(d) Original velocity in the opposite direction

Answer : D

Question. The angles between two forces to make their resultant a minimum and a maximum respectively are
(a) 0° and 90°
(b) 180° and 90°
(c) 90° and 180°
(d) 180° and 0°

Answer : D

Question. For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is
(a) α = π/4 − β/2
(b) α = π/2 + β/2
(c) α = β/2 − π/2
(d) α = π/4 − β/4
E. α = π/2 − β/2

Answer : B

Question. In a lifting machine a weight of 5 kN is lifted through 200 mm by an effort of 0.1 kN moving through 15 m. The mechanical advantage and velocity ratio of the machine are respectively
(a) 50 and 75
(b) 75 and 50
(c) 75 and 75
(d) 50 and 50

Answer : A

Question. The following statement is one of the laws of Dynamic friction
(a) The force of friction always acts in a direction opposite to that in which a body is moving
(b) The magnitude of the kinetic friction bears a constant ratio to the normal reaction between two surfaces. The ratio being slightly less than that in the case of limiting friction
(c) For moderate speeds the force of friction remains constant but decreases slightly with the increase of speed
(d) All the above

Answer : D

Question. The unit of force in (c)G.S. system of units, is called
(a) Dyne
(b) Newton
(c) Kg
(d) All the above

Answer : A

Question. A satellite goes on moving along its orbit round the earth due to
(a) Gravitational force
(b) Centrifugal force
(c) Centripetal force
(d) None of these

Answer : B

Question. One Joule is equivalent to
(a) 9.81 Newton metre
(b) 1 Newton metre
(c) 1 kg wt metre
(d) 1 dyne metre

Answer : B

Question. In SI units, the units of force and energy are respectively
(a) Newton and watt
(b) Dyne and erg
(c) Newton and joule
(d) kg wt and joule

Answer : C

Question. A system of coplanar forces is in equilibrium when
(a) Force polygon closes
(b) Funicular polygon closes
(c) Both force polygon" and funicular polygon close
(d) All the forces are concurrent

Answer : C

Question. A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/se(c) The work required to stop the hoop is
(a) 2 J
(b) 4 J
(c) 6 J
(d) 8 J

Answer : B

Question. When a circular wheel rolls on a straight track, then the shape of body centrode and space centrode respectively are
(a) Straight line and parabola
(b) Straight line and circle
(c) Circle and straight line
(d) Circle and parabola

Answer : C

Question. On a ladder resting on a rough ground and leaning against a smooth vertical wall, the force of friction acts
(a) Downwards at its upper end
(b) Upwards at its upper end
(c) Perpendicular to the wall at its upper end
(d) Zero at its upper end

Answer : D

Question. If g1 and g2 are the gravitational accelerations on two mountains A and B respectively, the weight of a body when transported from A to B will be multiplied by
(a) g₁
(b) g₂
(c) g₁/g₂
(d) g₂/g₁

Answer : D

Question. In which of the following trusses, the method of substitution is required for determining the forces in all the members of the truss by graphic statics?
(a) Howe truss
(b) King post truss
(c) Fink truss
(d) Warren truss

Answer : C

Question. A bullet weighing 200 g is fired horizontally with a velocity of 25 m/sec from a gun carried on a carriage which together with the gun weighs 100 kg. The velocity of recoil of the gun, will be
(a) 0.01 m/sec
(b) 0.05 m/sec
(c) 1.00 m/sec
(d) 1.5 m/see

Answer : B

Question. The unit of moments in M.K.S system, is
(a) kg.m
(b) kg/m²
(c) kg/sec²
(d) kg/sec

Answer : A

Question. Dimensional formula of Universal Gravitational constant G is-
(a) M-1L3T-2
(b) M-1L2T-2
(c) M-2L3T-2
(d) M-2L2T-2

Answer : D

Question. A satellite moves in its orbit around the earth due to
(a) Gravitational force
(b) Centripetal force
(c) Centrifugal force
(d) None of these

Answer : B

Question. The motion of a particle is described by the relation x = t² - 10t + 30, where x is in meters and t in seconds. The total distance travelled by the particle from t = 0 to t = 10 seconds would be
(a) Zero
(b) 30 m
(c) 50 m
(d) 60 m

Answer : A

Question. Pick up the correct statement from the following. The kinetic energy of a body
(a) Before impact is equal to that after impact
(b) Before impact is less than that after impact
(c) Before impact is more than that after impact
(d) Remain constant

Answer : C

Question. A stone is thrown vertically upwards with a vertical velocity of 49 m/se(c) It returns to the ground in
(a) 5 sec
(b) 8 sec
(c) 10 sec
(d) 20 sec

Answer : C

Question. A string of length 90 cm is fastened to two points ‘A’ and ‘B’ at the same level 60 cm apart. A ring weighing 120 g is slided on the string. A horizontal force ‘P’ is applied to the ring such that it is in equilibrium vertically below ‘B’. The value of ‘P’ is:
(a) 40 g
(b) 60 g
(c) 80 g
(d) 100 g

Answer : C

Question. M.I. of solid sphere, is
(a) (2/3)Mr2
(b) (2/5)Mr2
(c) Mr2
(d) (1/2)Mr2

Answer : B

Question. From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The (c)G. of the remainder shifts from the original position through
(a) 0.25 cm
(b) 0.50 cm
(c) 0.75 cm
(d) 1.00 cm

Answer : B

Question. Time period and length of a second’s pendulum respectively are
(a) 1 sec and 99.4 cm
(b) 1 sec and 92.7 cm
(c) 2 sec and 99.4 cm
(d) 2 sec and 92.7 cm

Answer : C

Question. The resultant of the forces acting on a body will be zero if the body
(a) Rotates
(b) Moves with variable velocity in a straight line
(c) Moves along a curved path
(d) Does not move at all

Answer : D

Question. The product of mass and velocity of a moving a body, is called
(a) Moment
(b) Momentum
(c) Power
(d) Impulse

Answer : B

Question. When a body slides down an inclined surface, the acceleration (f) of the body, is given by
(a) f = g
(b) f = g sin θ
(c) f = g cos θ
(d) f = g tan θ

Answer : B

Question. The centre of gravity of a plane lamina will not be at its geometrical centre if it is a
(a) Circle
(b) Equilateral triangle
(c) Rectangle
(d) Right angled triangle

Answer : D

Question. A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be
(a) 20 m/sec
(b) 30 m/sec
(c) 40 m/sec
(d) 50 m/sec

Answer : B

Question. A ball is dropped from a height of 16 m on a horizontal floor. If it rebounds to a height of 9 m after striking the floor, the coefficient of restitution between ball and floor is
(a) 1/4
(b) 2/3
(c) 3/4
(d) 4/3

Answer : C

Question. For a body moving with simple harmonic motion, the number of cycles per second, is known as its
(a) Oscillation
(b) Amplitude
(c) Periodic time
(d) Frequency

Answer : D

Question. For a non-concurrent force system to be in equilibrium
(a) Only the closure of force polygon is sufficient
(b) Only the closure of funicular polygon is sufficient
(c) Both force polygon and funicular polygon must close
(d) None of the above

Answer : C

Question. A system of coplanar forces acting on a rigid body can be reduced to
(a) One force only
(b) One couple only
(c) One force and one couple only
(d) None of the above

Answer : C

Question. A particle moves with a velocity of 2 m/sec in a straight line with a negative acceleration of 0.1 m/sec². Time required to traverse a distance of 1.5 m, is
(a) 40 sec
(b) 30 sec
(c) 20 sec
(d) 15 sec

Answer : C

Question. At the instantaneous center, the velocity of the moving lamina at any instant is
(a) Zero
(b) Maximum
(c) Minimum
(d) Varying

Answer : A

Question. One end of an elastic string of natural length ‘l’ and modulus ‘X’ is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance ‘x’, held at rest and then release(d)
The motion is
(a) A simple harmonic motion
(b) A rectilinear motion with constant speed
(c) A damped oscillatory motion
(d) None of the above

Answer : A

Question. The total time of collision and restitution of two bodies, is called
(a) Time of collision
(b) Period of collision
(c) Period of impact
(d) All the above

Answer : D

Question. The velocity of a moving body, is
(a) A vector quantity
(b) A scalar quantity
(c) A constant quantity
(d) None of these

Answer : A

Question. The angular speed of a car while taking a circular turn of radius 100 m at 36 km/hour, is
(a) 0.1 radian/sec
(b) 1 radian/sec
(c) 100 radian/sec
(d) 1000 radian/sec

Answer : A

Question. A bullet weighing 10 gm moves with a velocity of l km/se(c) Its kinetic energy is
(i) 5000 Nm
(ii) 5000 kg.m
(iii) 5000 J
(a) Only (ii)
(b) Both (i) and (iii)
(c) Both (ii) and (iii)
(d) All (i), (ii) and (iii)

Answer : B

Question. The characteristic of a couple is:
(a) Algebraic sum of forces, constituting a couple is zero
(b) Algebraic sum of moments of forces, constituting a couple, about any point, is same
(c) A couple can be never the balanced by a single force
(d) All the above

Answer : D

Question. The equation of motion of a particle starting from rest along a straight line is x = t³ - 3t² + 5. The ratio of the velocities after 5 sec and 3 sec will be
(a) 2
(b) 3
(c) 4
(d) 5

Answer : D

Question. Which one of the following statements is true?
(a) The tangent of the angle of friction is equal to coefficient of friction
(b) The angle of repose is equal to angle of friction
(c) The tangent of the angle of repose is equal to coefficient of friction
(d) All the above

Answer : D

Question. One half of a vibration of a body, is called
(a) Period time
(b) Oscillation
(c) Beat
(d) Amplitude

Answer : C

Question. The phenomenon of collision of two elastic bodies takes place because bodies
(a) Immediately after collision come momentarily to rest
(b) Tend to compress each other till they are compressed maximum possible
(c) Attempt to regain its original shape due to their elasticities
(d) All the above

Answer : D

Question. The equation of motion of a particle starting from rest along a straight line is x = t³ - 3t² + 5. The ratio of the accelerations after 5 sec and 3 sec will be
(a) 2
(b) 3
(c) 4
(d) 5

Answer : D

Question. A quantity whose dimensions are M²L²T³ could be the product of
(a) Force and pressure
(b) Mass and power
(c) Energy and velocity
(d) Force and velocity

Answer : B

Question. To double the period of oscillation of a simple pendulum
(a) The mass of its bob should be doubled
(b) The mass of its bob should be quadrupled
(c) Its length should be quadrupled
(d) Its length should be doubled

Answer : C

Question. The ratio of the moment of inertia of a rectangle about its centroidal axis to the moment of inertia about its base, is
(a) 1/4
(b) 1/2
(c) 3/4
(d) 2

Answer : A

Question. The pole distance is measured in
(a) distance scale
(b) force scale
(c) mass scale
(d) time scale

Answer : B