Applied Mechanics MCQs (Civil Engineering)
Applied Mechanics MCQs (Civil Engineering)
These Applied Mechanics multiple-choice questions and their answers will help you strengthen your grip on the subject of Applied Mechanics. You can prepare for an upcoming exam or job interview with these Applied Mechanics MCQs.
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1: A uniform rod 9 m long weighing 40 kg is pivoted at a point 2 m from one end where a weight of 120 kg is suspended. The required force acting at the end in a direction perpendicular to rod to keep it equilibrium, at an inclination 60° with horizontal, is
A. 100 kg
B. 60 kg
C. 40 kg
D. 10 kg
2: A particle moves along a straight line such that distance x traversed in t seconds is given by x = t2(t + 1), the acceleration of the particle, will be
A. 6t - 2
B. 3t2 + 2t
C. 6t + 2
D. 3t3 - 2t
E. 3t - 2
3: 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 , 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
4: Joule is the unit of
A. Work
B. None of these
C. Force
D. Torque
E. Power
5: A Seconds pendulum executes
A. 3 beats per second
B. 2.5 beats per second
C. 1.0 beat per second
D. 2.0 beats per second
E. 0.5 beat per second
6: The forces which meet at one point and have their lines of action in different planes are called
A. Non-coplaner non-current forces
B. None of these
C. Intersecting forces
D. Non-coplaner concurrent forces
E. Coplaner non-concurrent forces
7: Which one of the following laws is not applicable to a simple pendulum?
A. The time period is proportional to its length l
B. The time period is inversely proportional to g where g is the acceleration due to gravity
C. The time period is proportional to l where l is length
D. The time period does not depend on its magnitude
8: The Law of Polygon of Forces states that
A. If a polygen representing the forces acting at point in a body is closed, the forces are in equilibrium
B. If forces acting on a point can be represented of a polygon taken in order, their sides of a polygon taken in order, their resultant will be represented in magnitude and direction by the closing side of the polygon, taken in opposite order
C. If forces acting on a point can be represented in magnitude and direction by the sides of a polygon in order, the forces are in equilibrium
D. If forces acting on a point can be represented in magnitde and direction by the sides of a polygon taken in order, then the resultant of the forces will be represented in magnitude and direction by the closing side of the polygon
9: The maximum velocity of a body vibrating with a simple harmonic motion of amplitude 150 mm and frequency 2 vibrations/sec, is
A. 0.18845 m/sec
B. 188.5 m/sec
C. 18.85 m/sec
D. 1.885 m/sec
10: 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. 3
B. 2
C. 4
D. 5
11: The locus of the instantaneous centre of a moving rigid body, is
A. Involute
B. Straight line
C. Centroid
D. Spiral
12: The C.G. of a right circular cone lies on its axis of symmetry at a height of
A. H/3
B. H/6
C. H/5
D. H/2
E. H/4
13: If the radius of the earth is 600 km the height of a mountain above sea level at the top of which a beat seconds pendulum at sea level, looses 27 seconds a day, is
A. 1500 metres
B. 500 metres
C. 2000 metres
D. 25000 metres
E. 1000 metres
14: A satellite moves in its orbit around the earth due to
A. Centrifugal force
B. Centripetal force
C. Gravitational force
D. None of these
15: The unit of Moment of Inertia of a body, is
A. M3
B. M4
C. None of these
D. M
E. M2
16: 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. 40 kg
B. 30 kg
C. 35 kg
D. 25 kg
E. 20 kg
17: A ball moving with a velocity of 5 m/sec impinges a fixed plane at an angle of 45° and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be
A. 2.5 m/sec
B. 1.5 m/sec
C. 0.5 m/sec
D. 4.5 m/sec
E. 3.5 m/sec
18: 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. The diagonal of the parallelogram which does not pass through the point of intersection of the forces"
B. The diagonal of the parallelogram which passes through the point of intersection of the forces"
C. Its longer side"
D. Its shorter side"
E. Half the sum of the diagonals"
19: The total time of collision and restitution of two bodies, is called
A. Period of impact
B. Period of collision
C. All these
D. Time of collision
20: 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. 0.05 m/sec
B. 1.00 m/sec
C. 1.5 m/see
D. 0.01 m/sec
21: What discipline is concerned with the motion of any substance that can be experienced or perceived by humans without the help of instruments?
A. Mathematics
B. Physics
C. Geology
D. Applied Mechanics
E. Chemistry
22: What does statistics deal with?
A. The motion and behaviour of particles in a gas
B. The nature and behaviour of waves
C. The equilibrium of a system of fluids
D. The movement of objects in a static environment
E. Forces operating on and in a body at rest
23: What is a field of study that describes the possible motions of a body or system without evaluating the force of motion?
A. Statics
B. Kinematics
C. Dynamics
D. Thermodynamics
24: What discipline described the effect of forces acting over a system performing the motion?
A. Mechanics
B. Kinetics
C. Thermodynamics
D. Aerodynamics
25: What does the mass of an object also help identify?
A. The temperature of the object
B. The temperature at which the object is hottest
C. The shape of the object
D. The strength of the object's gravitational attraction to other bodies
E. The speed at which the object is moving
26: What is the UNIT used for the measurement of mass?
A. Penny
B. Litre
C. Kilogram
D. Gram
27: What is referred to as the minimum length between the body's initial to the final location?
A. Velocity
B. Displacement
C. Tension
D. Movement
28: What is expressed as a term that gives a fractional relation of change in the object's position concerning a reference frame with time?
A. Angular momentum
B. Moment of inertia
C. Velocity
D. Acceleration
E. Position
29: What is the second derivative of displacement concerning time called?
A. Velocity
B. Impulse
C. Acceleration
D. Jerk
E. Magnitude
30: What term is used for a negative magnitude of acceleration?
A. Magnitude
B. Acceleration
C. Deceleration
D. Velocity
31: What is the momentum of a system identified?
A. A product of its mass and velocity
B. Strength of the gravitational force
C. The product of its mass and velocity squared
D. The sum of its mass and velocity
E. A vector quantity
32: What can change the state of an object?
A. Speed
B. A force
C. Time
D. Temperature
33: If a force has both magnitude and direction, what is it called?
A. A displacement vector
B. A force field
C. A magnitude
D. A force
E. A vector quantity
34: In a lifting machine with an efficiency of 60%, an effort of 200 N is required to raise a load of 6 kN. The velocity ratio of the machine is
A. 30
B. 50
C. 60
D. 80
35: A heavy ladder resting on the floor and against a vertical wall may not be in equilibrium if
A. The floor is smooth and the wall is rough
B. The floor is rough and the wall is smooth
C. Both floor and wall are rough
D. Both floor and wall are smooth
36: When a circular wheel rolls on a straight track, then the shape of the body centrode and space
A. Centrode respectively are
B. Straight line and parabola
C. Straight line and circle
D. Circle and straight line
E. Circle and parabola
37: The time period of a simple pendulum depends on
A. Mass of suspended particle
B. Length of the pendulum
C. Acceleration due to gravity
D. Both b and c
38: A light rope is loaded with many equal weights at equal horizontal intervals. The points of suspension on the rope lie on a
A. Parabola
B. Catenary
C. Cycloid
D. Ellipse
39: If the direction of projection bisects the angle between the vertical and the inclined plane, then the range of projectile on the inclined plane is
A. Zero
B. Maximum
C. Minimum
D. None of these
40: A particle executes a simple harmonic motion. While passing through the mean position, the particle possesses
A. Maximum kinetic energy and minimum potential energy
B. Maximum kinetic energy and maximum potential energy
C. Minimum kinetic energy and maximum potential energy
D. Minimum kinetic, energy and minimum potential energy
41: The tension in a cable supporting a lift
A. Is more when the lift is moving downwards
B. Is less when the lift is moving upwards
C. Remains constant whether its moves downwards or upwards
D. Is less when the lift is moving downwards
42: The shape of a suspended cable under its own weight is
A. Parabolic
B. Circular
C. Catenary
D. Elliptical
43: The inherent property of a body that offers reluctance to change its state of rest or uniform
A. Motion is
B. Weight
C. Mass
D. Inertia
E. Momentum
44: A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete
A. Vibration is 1 sec, then the maximum velocity of the particle is
B. 1.00 m/sec
C. 1.57 m/sec
D. 3.14 m/sec
E. 6.28 m/sec
45: Three forces act on a rigid body to keep it in equilibrium. The forces must be coplanar and
A. Concurrent
B. Parallel
C. Concurrent parallel
D. None of these
46: The coefficient of friction depends on
A. Nature of surfaces only
B. Area of contact only
C. Both and
D. None of the above
47: The maximum pull in a cable, carrying a uniformly distributed load and supported at two ends that are at the same level, is at
A. Supports
B. Quarter span
C. Midspan
D. None of the above
48: A stone is whirled in a vertical circle, and the tension in the string is maximum
A. When the string is horizontal
B. When the stone is at the highest position
C. When the stone is at the lowest position
D. At all the positions
49: At a given instant the ship is travelling at 6 km/h due east and the ship is travelling at 8 km/h due north. The velocity relative to is
A. 7 km/hrs
B. 2 km/hrs
C. 1 km/hrs
D. 10 km/hrs
50: 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
51: The angular speed of a car taking a circular turn of a radius of 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
52: The force polygon representing a set of forces in equilibrium is a
A. Triangle
B. Open polygon
C. Closed polygon
D. Parallelogram
53: The centre of gravity of a homogenous body is the point at which the whole
A. The volume of the body is assumed to be concentrated
B. The area of the surface of the body is assumed to be concentrated
C. The weight of the body is assumed to be concentrated
D. All the above
54: A satellite moves in its orbit around the earth due to
A. Gravitational force
B. Centripetal force
C. Centrifugal force
D. None of these
55: The force acting on a point on the surface of a rigid body may be considered to act
A. At the centre of gravity of the body
B. On the periphery of the body
C. At any point in the line of action of the force
D. At any point on the surface normal to the line of action of the force
56: For a non-concurrent force system to be in equilibrium
A. Only the closure of the force polygon is sufficient
B. Only the closure of the funicular polygon is sufficient
C. Both force polygon and funicular polygon must close
D. None of the above
57: A force P of 50 N and another force Q of unknown magnitude act at 90° to each other. They are
A. Balanced by a force of 130 N. The magnitude of Q is
B. 60 N
C. 80 N
D. 100 N
E. 120 N
58: On a mass describing a circular path of radius, the centrifugal force
A. Acts tangentially to the circular path
B. Acts towards the centre of rotation
C. Acts away from the centre of rotation
D. Is mw2r/g kgf
59: Two circular discs of the same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis?
A. Disc with a larger density
B. Disc with a smaller density
C. Both discs will have the same rotational inertia
D. None of the above
60: A disc of mass 4 kg, radius 0.5 m, and moment of inertia 3 kgm² rolls on a horizontal surface so that
A. Its centre moves with a speed of 5 m/see. The kinetic energy of the disc is
B. 50 J
C. 150 J
D. 200 J
E. 400 J
61: A point subjected to a number of forces will be in equilibrium, if
A. Sum of resolved parts in any two directions at right angles are both zero
B. Algebraic sum of the forces is zero
C. Two resolved parts in any two directions at right angles are equal
D. Algebraic sum of the moments of the forces about the point is zero
62: One Joule is equivalent to
A. 9.81 Newton metre
B. 1 Newton metre
C. 1 kg wt metre
D. 1 dyne metre
63: The velocity of a moving body is
A. A vector quantity
B. A scalar quantity
C. A constant quantity
D. None of these
64: The centre of gravity of a triangle is at the point where three
A. Medians of the triangle meet
B. Perpendicular bisectors of the sides of the triangle meet
C. Bisectors of the angle of the triangle meet
D. None of these
65: For perfectly elastic bodies, the value of the
A. Coefficient of restitution is
B. Zero
C. 0.5
D. 1.0
E. Between 0 and 1
66: A retarding force on a body does not
A. Change the motion of the body
B. Retard the motion of the body
C. Introduce the motion of the body
D. None of these
67: The bending moment in an arch is proportional to
A. Vertical ordinate of the funicular polygon
B. Vertical ordinate of the arch
C. Intercept between the arch axis and the funicular polygon
D. None of these
68: Joule is the unit of
A. Work
B. Force
C. Power
D. Torque
69: If a set of given forces are such that their free vectors build a closed polygon, then
A. The resultant force and resultant couple are always zero
B. The resultant force is zero but the resultant couple is not zero
C. The resultant force is zero but the resultant couple may not be zero
D. The resultant force and resultant couple both may not be zero
70: 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
71: When a body in equilibrium undergoes an infinitely small displacement, work imagined to be done, is known as
A. Imaginary work
B. Negative work
C. Virtual work
D. None of these
72: 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
73: If the resultant of two forces have the same magnitude as either of the force, then the angle between the two forces is
A. 30°
B. 45°
C. 60°
D. 120°
74: A ball that is thrown upwards returns to the ground describing a parabolic path during its flight
A. Vertical component of velocity remains constant
B. Horizontal component of velocity remains constant
C. Speed of the ball remains constant
D. Kinetic energy of the ball remains constant
75: A rigid body is in stable equilibrium if the application of any force
A. Can raise the CG of the body but cannot lower it
B. Tends to lower the CG of the body
C. Neither raises or lowers the CG of the body
D. None of above
76: The phenomenon of collision of two elastic bodies takes place because bodies
A. Immediately after collision comes 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
77: A simple pendulum of length l has an energy E when its amplitude is A. If the length of
A. The pendulum is doubled, the energy will be
B. E
C. E/2
D. 2E
E. 4E
78: A particle moving with a simple harmonic motion attains its maximum velocity when it passes
A. The extreme point of the oscillation
B. Through the mean position
C. Through a point at half amplitude
D. None of these
79: A stone of mass 1 kg is tied to a string of length 1 m and whirled in a horizontal circle at a constant angular speed of 5 rad/sec. The tension in the string is,
A. 5 N
B. 10 N
C. 15 N
D. 25 N
80: For a self-locking machine, the efficiency should be
A. Less than 60%
B. 50 %
C. More than 50%
D. None of these
81: The resultant of two forces acting at right angles is kg and acting at 60° is 70 kg. The forces are
A. 1 kg and 4 kg
B. 2 kg and 3 kg
C. Kg
D. 3 kg and 5 kg
82: The forces which meet at one point and have their lines of action in different planes are called
A. Coplanar non-concurrent forces
B. Non-coplanar concurrent forces
C. Non-coplanar non-current forces
D. Intersecting forces
83: 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
84: Williot-Mohr diagram is used to determine deflection in
A. Trusses only
B. Beam only
C. Rigid frames only
D. Any type of structure
85: The numbers of funicular polygons which can be drawn to pass through two specified points in the
A. Space diagram is
B. Zero
C. 1
D. 2
E. Infinity
86: Periodic time of body moving with simple harmonic motion is
A. Directly proportional to its angular velocity
B. Directly proportional to the square of its angular velocity
C. Inversely proportional to the square of its angular velocity
D. Inversely proportional to its angular velocity
87: A geostationary satellite is one that orbits the earth with a velocity of rotation of
A. Moon
B. Earth
C. Sun
D. Pole
88: 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
89: Two forces act at an angle of 120°. If the greater force is 50 kg and their resultant is perpendicular to
A. The smaller force, the smaller force is
B. 20 kg
C. 25 kg
D. 30 kg
E. 35 kg
90: Which of the following represents the state of neutral equilibrium?
A. A cube resting on one edge
B. A smooth cylinder lying on a curved surface
C. A smooth cylinder lying on a convex surface
D. None of the above
91: The unit of force in the C.G.S. system of units is called
A. Dyne
B. Newton
C. Kg
D. All the above
92: A heavy ladder resting on a floor and against a vertical wall may not be in equilibrium, if
A. Floor is smooth and the wall is rough
B. Floor is rough and the wall is smooth
C. Floor and wall both are smooth surfaces
D. Floor and wall both are rough surfaces
93: The angle of projection at which the horizontal range and maximum height of a projectile are
A. Equal to
B. 36°
C. 45°
D. 56°
E. 76°
94: The unit of rotational inertia of a body in the C.G.S system is
A. Cm4
B. Kg.cm²
C. Gm.cm²
D. Gm.cm3
95: The locus of the instantaneous centre of a moving rigid body is
A. Straight line
B. Involute
C. Centroid
D. Spiral
96: A 50 kg boy climbs up an 8 m rope in the gymnasium in 10 sec. The average power developed by the boy is approximately
A. 400 watts
B. 500 watts
C. 4000 watts
D. None of these
97: 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
98: A force P of 50 N and another force Q of unknown magnitude act at 90° to each other. They are balanced by a force of 130 N. The magnitude of Q is
A. 60 N
B. 80 N
C. 100 N
D. 120 N
99: If the resultant of two forces has the same magnitude as either of the force, then the angle between the two forces is
A. 30°
B. 45°
C. 60°
D. 120°
100: A rod AB carries three loads of 30 N, 70 N and 100 N at distances of 20 mm, 90 mm and 150 mm respectively from A. Neglecting the weight of the rod, the point at which the rod will balance is
A. 109.5 mm from A
B. 119.5 mm from A
C. 125.5 mm from A
D. 132.5 mm from A
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