# Multiple choice question for engineering

## Set 1

1. In the support system of the bridges and trolley wheel ____________ form the main loading carrying element in the structure.

a) Distributed loaded Cable

b) Beams

c) Pillars

d) Cement mortar

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2. What is the dot product of the components of the force vector shown in the figure, i.e. the dot product of the z-axis component and the y-axis component of the force?

a) 0

b) 200cos60°

c) 200sin45°

d) 200cos30°

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3. The assumptions for the calculations for cables under distributed load are done for the cables. In that one of the assumption is that the cable is ___________

a) Extensible

b) Non-flexible

c) Flexible

d) Static

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4. The force on the cables under distributed load is not neglected in the calculations of the load distribution.

a) False

b) True

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5. The assumptions for the calculations are done for the cables under distributed load. In that one of the assumption is that the cable is flexible and the other is that the cable is ___________

a) Extensible

b) Non-flexible

c) Inextensible

d) Static

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6. The various points in the cables under distributed load is facing a ____________ tensile force.

a) Constant

b) Variable

c) Insufficient

d) Non

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7. Due to which property the cables under distributed load, it offers no resistance to bending?

a) Extensible property

b) Non-flexible property

c) Flexibility property

d) Static property

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8. Flexible cables under distributed load with chains combine ___________ with lightness and often are used in structures for support.

a) Strength

b) Mass

c) Volume

d) Density

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9. The tensile force acting on the cables under distributed load is in which direction w.r.t the cable?

a) Perpendicular

b) Parallel

c) Tangential

d) At an angle of 2 radians

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10. If the unknown variables in the calculations for cables under distributed load are more than the known quantities, then the number of equations required to solve all the unknown variables are?

a) Infinite

b) Finite

c) Not possible

d) Question fault

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11. Cables under distributed load takes a shape of a ____________ when is subjected to loadings.

a) Helix

b) Line

c) Spring

d) Complex figure

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12. The cables under distributed load weight become significant in the calculations of the loadings when the cables are used in the transmission lines and guys for radio antennas.

a) False

b) True

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13. The loading in the cables under distributed load doesn’t changes the ___________ of the cables.

a) Geometry

b) Colour

c) Bending moment

d) Point at which the shear stress is zero

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14. What is the magnitude of the resultant vector’s unit vector? (Resultant vector of the two vectors shown in the figure below)

a) 1N

b) 225N

c) 110N

d) 55N

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15. Being inextensible the cables under distributed load has ___________ length.

a) Infinite

b) Zero

c) Average to zero

d) Constant

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## Set 2

1. Which of the following statement is true?

a) A scalar is any physical quantity that can be completely specified by 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

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2. For two vectors defined by an arrow with a head and a tail. The length of each vector and the angle between them represents:

a) Their magnitude’s square and direction of the line of action respectively

b) Their magnitude and direction of the line of action respectively

c) Magnitude’s square root and direction of the line of action respectively

d) Magnitude’s square and ratio of their lengths respectively

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3. 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 amount of that scalar’s magnitude

d) You cannot multiply the vector with a scalar

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4. All the vectors quantities obey:

a) Parallelogram law of addition

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

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5. 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)

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6. Dividing the X-axis component and the Y-axis component of the of the vector making an angle with Y-axis α will give us.

a) Cot α

b) Tan α

c) Sec α

d) 1

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7. Vector shown in the figure below have a length of 3m and the angles shown A and B are 60 and 30 degrees each. Calculate the X-axis and Y-axis components:

a) 2.59m and 1.50m respectively

b) 1.50m and 2.59m respectively

c) 3cos60 and 3sin30 respectively

d) 3sin60 and 3sin30 respectively

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8. Shown as in the figure below, A=60 degree and B=30 degree. Calculate the total length obtained by adding the x-axis component of both the vectors.

a) 3.23m

b) 4.35m

c) 2.50m

d) 1.5m

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9. 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

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10. 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

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11. What is the direction of the resultant vector if two vectors having equal length is placed in the Cartesian plane at origin as, one being parallel to and heading towards positive x-axis and the other making 165 degree with it and heading in the opposite direction of that of the first one?

a) It is either in the 1st quadrant or in 2nd quadrant

b) It is either in the 1st quadrant or in 3rd quadrant

c) It is either in the 1st quadrant or in 4nd quadrant

d) Only in the 1st quadrant

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12. Force vector R is having a______________

a) Length of R and a specific direction

b) Length of R

c) A specific direction

d) Length of magnitude equal to square root of R and a specific direction

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13. The resultant of three equal vectors having mutual angles being 120 degree and being originated from a single point is zero.

a) True

b) False

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14. Every point on the force vector is having the same magnitude and the same direction as the whole force vector have.

a) True

b) False

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## Set 3

1. Determine the resultant moment caused by the forces in vector

a) 30i + 40j – 60k Nm

b) 30i – 40j – 60k Nm

c) 30i + 40j + 60k Nm

d) 30i – 40j + 60k Nm

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2. 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

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3. What does FLsinθ means/represents for the moment (M) of the force (F) acting on the body at a distance L from the axis of the rotation?

a) The direction vector of the moment

b) Unit vector of the moment vector

c) The magnitude of the moment caused by the force on the body

d) The perpendicular distance of the force from the axis of rotation

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4. The basic way of getting the direction of the moment caused by the force is:

a) The use of left hand rule with thumb giving the direction of moment

b) The use of right hand rule with thumb giving the direction of moment

c) The use of right hand rule with forefinger giving the direction of moment

d) The use of left hand rule with forefinger giving the direction of moment

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5. If any force is applied in the direction of the positive x-axis, and there are three different point on which the moment of this force is to be calculated. Then if these three points are on the positive side of the y-axis with varying distance, then what will be the direction of the moment caused by the force to the individual point?

a) Towards positive z-axis

b) Towards positive y-axis

c) Towards positive x-axis

d) Towards negative z-axis

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6. If a force applied at any point in its line of action and is still creating the same moment about any fixed point say P, then the force is said to be______________

a) Couple

b) Sliding vector

c) Slider couple

d) Couple slider

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7. : If a force applied at any point in its line of action and is still creating the same moment about any fixed point say P, then the force is said to be sliding vector. What is the name of this property?

a) Associative property

b) Distributive property

c) Negative associative property

d) Principle transmissibility of the force

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8. We can express the force in the Cartesian form.

a) True

b) False

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9. M = ∑(rxF) represents what?

a) The total distance of the point of contact of the and the axis of rotation

b) The total moment of the forces

c) The total force acting on the body

d) The equation is wrong, it must be Fxr

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10. 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 about 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

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11. If F = F1+F2, then moment of this force F about a point at a distance r is M=rxF1 + rxF2.

a) True

b) False

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12. Determine the moment of the force about the point X.

a) 11.2 Nm

b) 10 Nm

c) 7Nm

d) 8Nm

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13. Determine the moment about the point Q by the force shown as 400N.

a) -98.6kN

b) 98.6kN

c) -98.6iN

d) -98.6jN

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14. Determine the moment about the point P.

a) 460Nm

b) 500Nm

c) 705Nm

d) 0Nm

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15. Determine the magnitude of the resultant moment caused by the forces.

a) 78.1Nm

b) 25Nm

c) 110Nm

d) 80Nm

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## Set 4

1. What is the dot product of two vectors which are having magnitude equal to unity and are making an angle of 45°?

a) 0.707

b) -0.707

c) 1.414

d) -1.414

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2. Mathematically, for two vectors A and B of any magnitude, the cross product of both, i.e. AxB = given by:

a) |A||B|sinØ

b) |A||B|

c) |A||B|cosØ

d) |A||B|sin(180°+Ø)

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3. Commutative law is valid for the cross product of two vectors. (Commutative law: PxQ = QxP; for two vectors P and Q)

a) True

b) False

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4. Which among the following is the distributive law for the cross product of three vectors?

a) Px(Q+S) = (PxQ) + (PxS)

b) Px(QxS) = (PxQ) + (PxS)

c) Px(QxS) = (PxQ) x (PxS)

d) Px(Q+S) = (PxQ) + (QxS)

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5. Which statement is true? (For three vectors P, Q and R)

a) Associative law for cross product: (PxQ)xS = Px(QxS)

b) Associative law for cross product: (PxQ)xS ≠ Px(QxS)

c) Associative law for cross product: (PxQ)xS > Px(QxS)

d) Associative law for cross product: (PxQ)xS < Px(QxS)

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6. Which of the following is true?

a) i x i =1

b) j x i = -j

c) k x j = -i

d) k x k = 1

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7. Which of them is not correct?

a) j x j = 0

b) j x k = i

c) j x i = k

d) j x i = -k

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8) The ___________ forces do not cause the rotation.

a) Non-concurrent

b) Concurrent

c) Parallel

d) Non-Parallel

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9) The tendency of a force to rotate the body is called the moment of the force.

a) True

b) False

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10) 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

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11) What is Varigon’s Theorem? (M = Moment, F= Force vector, R= Radius vector)

a) M = R x F (F = F_{1} + F_{2} + F_{3} + … vectorially adding all the forces)

b) |A||B|sinØ

c) AxB)xS ≠ Px(QxS)

d) Px(Q+S) = (PxQ) + (PxS)

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_{1}+ F2 + F

_{3}+ … vectorially adding all the forces). This is just the giving the cross product of individual force and radius vectors and thus the sum is the total moment produced.

12. What is the mixed triple product of three vectors?

a) S.(PxQ)

d) Sx(PxQ)

c) S.(P.Q)

d) Sx(P.Q)

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13. What is the angle made by the vector shown in the figure, with the z-axis?

a) 45°

b) 60°

c) 30°

d) 90°

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14. What is the dot product of the components of the force vector shown in the figure, i.e. the dot product of the z-axis component and the y-axis component of the force?

a) 0

b) 200cos60°

c) 200sin45°

d) 200cos30°

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15. What is the magnitude of the resultant vector’s unit vector? (Resultant vector of the two vectors shown in the figure below)

a) 1N

b) 225N

c) 110N

d) 55N

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## Set 5

1. The ____________ forces are used are used in the method of sections for the calculation of the internal forces.

a) Internal rotational

b) Couple rotational

c) Translational

d) External

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2. Every point on the force vector which is the internal force, is having the same magnitude and the same direction as the whole force vector have.

a) True

b) False

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3. For getting the normal force on the supports, we do what?

a) Make the vertical sum of the forces equal to zero

b) Make the horizontal sum of the forces equal to zero

c) Make the moment sum of the forces equal to zero

d) Make the rotational sum of the forces equal to zero

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4. For getting the horizontal component of the support reactions what do we do?

a) Make the vertical sum of the forces equal to zero

b) Make the horizontal sum of the forces equal to zero

c) Make the moment sum of the forces equal to zero

d) Make the rotational sum of the forces equal to zero

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5. Twisting moment is also called as __________

a) Moment of line

b) Moment of section

c) Moment of plane

d) Torsional moment

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6. The loading generally act upon the ___________ of the body.

a) Centroid

b) Symmetrical centre

c) Rotational centre

d) Chiral centre

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7. The area of does make the difference in the internal forces, that is if the area is large the internal force acting is also large and vice versa.

a) True

b) False

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8. The magnitude of each loading will be ___________ at various points along the axis of the member of the beam.

a) Same

b) Different

c) Slightly different

d) Slightly same

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9. Torsional moment is applied at the ___________ part of the beam.

a) The centroid

b) The left end

c) The right end

d) The axis beyond the body of the beam

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10. Normal force is equal to _______________

a) The net horizontal force

b) The net vertical force with a negative sign

c) The net horizontal force with a negative sign

d) The net vertical force

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11. If the normal force creates a tension then the force is said to be ____________

a) Positive

b) Negative

c) Rotational

d) Collinear

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12. If the shear force creates a clockwise rotation then the force is said to be ____________

a) Positive

b) Negative

c) Rotational

d) Collinear

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13. If the bending of the beam is concave upwards then the bending moment developed is called __________ moment.

a) Positive

b) Negative

c) Rotational

d) Collinear

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14. In the diagram given below, coordinates of D is (1, -2, 2), C (-2, 0, 0) and B are as shown. The dark region is the cables holding the weight of 600N at origin. Find the tension in the AD section.

a) 900N

b) 693N

c) 646N

d) 0N

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15. Find the tension in the cable AC.

a) 23.6N

b) 55N

c) 89N

d) -29N