Common to Mechanical Engineering and Civil Engineering
GE 8292 Engineering Mechanics | Mcq
Multiple choise questions MCQ
( ans are highlighted )
Unit - 1
1. What is the magnitude of the resultant force of the two forces which are perpendicular to each other? The two forces are 20 units and 30 units respectively.
a) 36 b) 42 c) 25 d) 40
2.A rope is stretched between two rigid walls 40 feet apart. At the midpoint, a load of 100 lbs was placed that caused it to sag 5 feet. Compute the approximate tension in the rope.
a) 206lbs b) 150lbs c) 280lbs d) 240lbs
3.What is the effective component applied on the box that is being pulled by a 30 N force inclined at 30 degrees with horizontal?
a) 36.21 N b) 25.98 N c) 15.32 N d) 20.62 N
4.The magnitude of the resultant of the two vectors is always__________
a) Greater than one of the vector's magnitude
b) smaller than one of the vector's magnitude
c) Depends on the angle between them
d) Axis we choose to calculate the magnitude
5.If two equal vector forces are mutually perpendicular then the resultant force is acting at which angle as compared to one of the vector?
a) 45 degree b) 90 degree c) 180 degree d) 0 degree
6.Which of the following statement is true ?
a) A scalar is any physical quantity that can be completely specified its magnitude
b) A vector is any positive or negative physical quantity that can be completely specified by its magnitude
c) A scalar is any physical quantity that requires both a magnitude and a direction for its complete description
d) A scalar is any physical quantity that can be completely specified by its direction
7.If a vector is multiplied by a scalar ?
a) Then its magnitude is increased by the square root of that scalar’s magnitude
b) Then its magnitude is increased by the square of that scalar’s magnitude
c) Then its magnitude is increased by the amount of that scalar's magnitude
d) You cannot multiply the vector with a scalar
8.All the vectors quantities obey?
a) Parallelogram law of additon
b) Parallelogram law of multiplication
c) Parallelogram law of addition of square root of their magnitudes
d) Parallelogram law of addition of square of their magnitudes
9.A force vector with magnitude R and making an angle α with the x-axis is having its component along x-axis and y-axis as?
a) Rcosine (α) and Rsine(α)
b) Rcosine (180-α) and Rsine(α)
c) Rcosine (180-α) and Rsine(180+α)
d) Rcosine (α) and Rsine(180+α)
10.If A is any vector with Ai + Bj + Ck then what is the y-axis component of the vector?
a) B units b) A units c) C units d) Square root of a sum of squares of the three, i.e. A, B and C
11.What is cosα for force vector F = Ax + By +Cz (Given α, β and γ are the angles made by the vector with x, y and z axis respectively)?
a) B/F
b) C/F
c) A/F
d) 1
12.What is the magnitude of the vector, 12i – 8j – 24k?
a) 18 b) 28 c) 38 d) 48
13.Express the vector in the Cartesian Form, if the angle made by it with y and axis is 60˚ and 45˚ respectively. Also, it makes an angle of α with the x-axis. The magnitude of the force is 200N.
a) 100i – 100j + 141.4k N
b) 100i + 100j + 141.4k N
c) 100i + 100j – 141.4k N
d) 100i – 100j – 141.4k N
14.A force vector is along 4i – 4k direction and has a magnitude 100N and another force vector is along 4i +2j -4k and has a magnitude of 120N. What is the resultant of both forces?
a) 80i + 40j – 80k N
b) 80i – 40j – 80k N
c) 151i + 40j – 80k N
d) 151i + 40j – 151k N
15.What is the magnitude of the resultant force when F1 = 60j + 80k and F2 = 50i – 100j + 100k?
a) 188 unit b) 191 unit c) 181 unit d) 120 unit
Unit - 2
16.What does the moment of the force measure?
a) The tendency of rotation of the body along any axis
b) The moment of inertia of the body about any axis
c) The couple moment produced by the single force acting on the body
d) The total work is done on the body by the force
17.The tendency of rotation of the body along any axis is also called _________
a) Moment of inertia b) Moment of couple c) Torque d) Force
18.The moment axis, force and the perpendicular distance in the moment of the force calculation is lying in____________
a) Two planes perpendicular to each other
b) A single plane in the direction of the force
c) A single plane in the direction of the perpendicular distance
d) A single line in the direction of the force
19.In the calculation of the moment of the force about the axis, the cross product table, i.e. the 3X3 matrix which is made for doing the cross product having 3 rows, contains three elements. Which are they from top to bottom?
a) axis coordinates, point coordinates, and the force coordiates
b) Point coordinates, axis coordinates, and the force coordinates
c) Axis coordinates, force coordinates, and the point coordinates
d) Force coordinates, point coordinates, and the axis coordinates
20.What if the perpendicular distance from the axis is infinity?
a) The rotation is not possible
b) The rotation is possible but the moment generated is very less
c) The force applied will be very much high for even a small rotation
d) No rotation unless the contact is being broken
21.The moment is the cross product of which two vectors?
a) Force and Radius vectors
b) Radius and Force vectors
c) Force and Radius scalars
d) Radius and Force scalars
22.The ___________ forces do not cause the rotation.
a) Non-Concurrent
b) Concurrent
c) Parallel
d) Non-Parallel
23.Which of the following is correct w.r.t the moment (M) of the force (F) acting on the body at a distance L from the axis of the rotation?
a) M=FLsinθ
b) M=FLcosθ
c) M=F.Lsinθ
d) M=FxLsinθ
24.What does Newton's third law states ?
a) The rate of change of momentum is equal to the force applied
b) For every action, there is an equal and opposite reaction
c) The body tends to be rotated if the force is applied tangentially
d) The body is rest until a force is applied
25.The net forces of acting on the body need to be zero. This is also applicable for the simply supported beams. This means that the support reaction is also counted in making the net force zero
a) True
b) False
26.If five forces are acting on the single particle and having an angle of 72˚ between each and are collinear, then:
a) The net force acting on the body is zero
b) The net force acting on the body is horizontal
c) The net force acting on the body is vertical
d) The net force acting on the body is at an angle of 45
27.What is the branch of engineering mechanics which refers to the study of stationary rigid body?
a) Statics b) Kinetics c) Kinematics d) Dynamics
28.What refers to the force that holds part of the rigid body together?
a) Natural force b) External force c) Internal force d) Concentrated force
29.If a 12m high tree is being pulled by the tractor, by a rope tied over the top. With the tractor at a linear distance of 12m and 4m away perpendicularly from the tree. If the force applied by the tractor is 2KN then what is the moment caused by the roots of the tree?
a) -16.5i+7.51j KNm
b) -16.5i+5.51j KNm
c) -16.5i+5.51j KNmm
d) -16.5i+7.51j KNm
30.A simply supported beam is 5 meters in length. It carries a uniformly distributed load including its own weight of 300 N/m and a concentrated load of 100 N, 2 meters from the left end. Find the reactions if reaction A is at the left end and reaction B at the right end?
a) Ra = 810 N & Rb = 700 N
b) Ra = 700 N & Rb = 800 N
c) Ra = 810 N & Rb = 780 N
d) Ra = 700 N & Rb =8 10 N
Unit - 3
31.Center of gravity of a solid cone lies on the axis at the height?
a) one-fourth of the total height above base
b) one-third of the total height above base
c) one-half of the total height above base
d) three-eighth of the total height above the base
32.Volume is best given by ___________
a) Product of mass and density
b) Ratio of mass to density
c) Addition of mass and density
d) Subtraction of mass and density
33.If the force vector F acting along the centre of gravity is having its x-axis component being equal to Z N, y-axis component be X N and z-axis component be Y N then vector F is best represented by?
a) Xi + Yj + Zk
b) Yi + Xj + Zk
c) Zi + Yj + Xk
d) Zi + Xj + Yk
34.The centre of gravity is the ratio of ________ to _________
a) The product of centroid and weight to the total weight
b) The addition of centroid and weight to the total weight
c) The subtraction of centroid and weight to the total weight
d) The product of centroid and weight to the total mass
35.The theorem of Pappus and Guldinus is used to find the_____
a) Surface area of the body
b) Surface area of the body of revolution
c) Surface area of the body of linear motion
d) Surface area of the body of rectangular motion
36.When the body which is applied forces come in the stage of the limiting friction then the body over which this theorem is to be applied is termed as to come in ___________ equilibrium ?
a) Unstable
b) Stable
c) Non- stable
d) Improper stable
37.Product of the Volume, ______________________ and the perpendicular distance from axis are being used in the theorem to find the volume of the revolution.
a) Area of generated curve
b) Area of generated radius
c) Area of generated length vector
d) Area of generated area vector
38.The units of moment of inertia of an area are
a) kg m2
b) m4
c) kg/m2
d) m3
39.The units of moment of inertia of mass are
a) kg m2
b) m4
c) kg/m2
d) kg/m
40.Moment of inertia of a triangular section of base (b) and height (h) about an axis through its base, is?
a) bh3/4
b) bh3/8
c) bh3/12
d) bh3/16
41.Pappus and Guldinus theorems is used to determine
a) Area
b) Volume
c) Speed
d) area and volume
42.Unit of product of inertia
a) m
b) m2
c) m3
d) m4
43.The distance used in the Pappus and Guldinus theorems is the distance travelled by ______________
a) Body
b) Body's centroid
c) Body's length vector
d) Body's radius vector
44.The SI unit for polar moment of inertia is
a) g-m2
b) kg-m4
c) m4
d) m2
45.The total of all the weights of small particles adds up to give the total body weight. This weight is the force vector which is being passed by ________
a) Axis of rotation
b) Axis of rolling
c) Centre of Gravity
d) Centre of mass
46.A ______________ body consists of a series of connected “simpler” shaped bodies
a) Composite
b) Non-composite
c) Digital
d) Binary
Unit - 4
47.What is the branch of engineering mechanics which refers to the study of rigid body in motion without reference to the force that causes the motion?
a) Statics
b) kinetics
c) kinematics
d) Dynamics
48.It is defined as the integral of force with respect to time
a) momentum
b) impulse
c) velocity
d) acceleration
49.The SI unit for angular velocity is
a) degrees per second
b) revolutions per second
c) mils per second
d) radians per second
50.The angular momentum of a rotating object can be calculated by the formula
a) mass moment of inertia x linear velocity
b) mass x linear velocity
c) mass moment of inertia x angular velocity
d) mass x angular velocity
51.The total momentum of a system __________, if no external impressed force acts on it.
a) increases
b) decreases
c) remains constant
d) none
52.Work done by an engine in 6 sec is 1000 joules. What is the power generated by the engine in watt?
a) 1600 watt
b) 600 watt
c) 166 watt
d) 600 watt
53.What is the minimum velocity attained by a ball thrown with velocity of 20 m/s at an angle of 40o with the horizontal?
a) 15.32 m/s
b) 12.85 m/s
c) 16.78 m/s
d) none
54.The radial component of velocity for a particle moving in circular path is ______
a) constant
b) radius itself
c) variable
d) zero
55.If an elevator travels at constant velocity, the normal reaction R is given as ______
a) m (g +a)
b) m (g - a)
c) mg
d) ma
56.Force of 150 N moves a body in 5 sec along a straight line according to x = t3 - 60t. What is the mass of the moving body?
a) 17.23 kg
b) 15.23 kg
c) 15kg
d) 5kg
57.What is the distance traveled by an electron in first 4 seconds from its initial position, if velocity time relation is given as v = 3t?
a) 12m
b) 15m
c) 20m
d) 24m
58.What is the path equation for a particle having x = 6t and y = 4t2 ?
a) x2 = 6y
b) x2 = 9y
c) y2 = 8x
d) y = 9x
59.Two cars X and Y move on adjacent roads in opposite directions. If velocity of car X and Y is 80 km/hr and 60 km/hr respectively, then what will be the relative velocity of car X w.r.t. Y?
a) 70 km/hr
b) 100 km.hr
c) 140 km/hr
d) 150 km/hr
60.What is the initial velocity of an object which travels a distance of 10t2 +15t + 5 along a straight line in time t?
a) -10
b) +10
c) -15
d) +15
61.Which of the following laws derive impulse moment principle?
a) Newton's 3rd law
b) Newton's 2nd law
c) Newton's 1st law
d) all
62.A ball is dropped on a horizontal surface from a height of 15 m. What will be the rebounding height of the ball after striking the surface? (coefficient of restitution = 0.8)
a) 9.6 m
b) 6.5 m
c) 5.6 m
d) Insufficient data
63.According to work energy principle, a particle of mass m when subjected to unbalanced force system, the work done during displacement by all forces is equal to change in ____________ during displacement
a) gravitational energy
b) kinetic energy
c) mechanical energy
d) potential energy
64.Which of the following is represented by the area under force-displacement diagram?
a) Impulse b) momentum c) power d) workdone
65.A ball dropped from a wall of height h travels a distance of 50 m in last two seconds before landing. What is the height of the wall from which the ball was dropped?
a) 120.15m b) 127.37m c) 183.48m d) 200m
66.What is the average resistance required to stop a truck of mass 600 kg in a distance of 30 m, if initial speed is 30 m/sec?
a) 8000 N b) 9 kn c) 9.5 kn d) 9 N
67.A block is displaced by 3 m when a force of 200 N is applied on it on an inclined surface which is at an angle of 50o with the horizontal. What is the work done?
a) 385.67 Nm b) 459.62 Nm c) 933.00 Nm d) Insufficient data
Unit - 5
68.A block sliding down an inclined plane has acceleration _________ the acceleration due to gravity
a) Less than b) greater than c) same as d) none
69.Theory of friction is explained over a block of weight W. Which of the following is the property of the surface on which block is present?
a) Non-rigid b) coloured red c) Having density in negative d) the motion of that block is always horizontal
70.The free body diagram used to explain the theory of dry friction is having ___________ distribution of both the normal forces and frictional surface
a) Uneven b) Even c) Uniform d) Equal
71.There are mainly two types of forces which are being stated in the free body diagram, and they are generally the resultant of various forces which are being acted over the body. Which are they?
a) Normal and Frictional
b) Normal and Vertical
c) Vertical and Frictional
d) Normal and Frictional
72.The normal force exerted by the surface of the wedge is normal to the surface of the ________
a) Base of the wedge
b) Base of the body residing over it
c) Base of the body just neighbour to the wedge
d) Earth's surface
73.What is B in the equation T2 = T1eμB ?
a) Angle of the belt to surface contact in radians
b) Angle of the belt to surface contact in degrees
c) Angle of the belt in radians
d) Angle of the belt in degrees
74.Which formula is used to calculate angle of static friction (Φs)
a) tan-1 μs
b) sin-1 μs
c) cos-1 μs
d) none
75.Which motion has magnitude of static frictional force directly proportional to normal reaction?
a) Actual motion
b) Impending motion
c) both a and b
d) none
76.The ratio of static friction to dynamic friction is always
a) equal to one b) less than one c) greater than one d) none
77.Coulomb friction is the friction between
a) Bodies having relative motion
b) Two dry surfaces
c) Two lubricated surfaces
d) Solids and liquids
78.Coefficient of friction depends upon
a) Area of contact only
b) Nature of surfaces only
c) both a and b
d) none
79.Frictional force encountered after commencement of motion is called
a) Limiting friction b) kinematic friction c) frictional resistance d) Dynamic friction
80.Static friction is always __________ dynamic friction.
a) equal to b) less than c) greater than d) none
81.A ladder is resting on a rough ground and leaning against a smooth vertical wall. The force of friction will act
a) Downward at its upper end
b) Upward at its upper end
c) Zero at its upper end
d) Perpendicular to the wall at its upper end
82.On the ladder resting on the ground and leaning against a smooth vertical wall, the force of friction will be
a) Downward at its upper end
b) Upward at its upper end
c) Perpendicular to the wall at its upper end
d) Zero at its upper end
83.A ladder is resting on a smooth ground and leaning against a rough vertical wall. The force of friction will act
a) Towards the wall at its upper end
b) Away from the wall at its upper end
c) Downward at its upper end
d) Upward at its upper end
84.The maximum frictional force which comes into play when a body just begins to slide over another surface is called
a) Limiting friction
b) Sliding friction
c) Rolling friction
d) Kinematic friction
85.The skidding away of the vehicle on a level circular path can be avoided if the force of friction between the wheels and the ground is __________ the centrifugal force.
a) Less than b) Greater than c) equal to d) none
Also read : ME 8594 Dynamics of machines Mcq
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