# Multiple choice question for engineering

## Set 1

1. In the calculations of the moment of inertia of the area about an inclined axis, we have some transformation done. They are:

a) u = xcosθ + ysinθ

b) u = xcosθ – ysinθ

c) u = ycosθ + xsinθ

d) u = ycosθ – xsinθ

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2. In the calculations of moments of inertia for an area about inclined axis we use the product of moment of inertia. It is the the sum of _____________ and _________________

a) Area and volume

b) Volume and linear distance

c) Moment of inertia at centroid and the product of the area and del dx and del dy

d) Moment of inertia at base and the product of the area and del dx and del dy

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3. In the calculations of the moment of inertia of the area about an inclined axis, we have some transformation done. They are:

a) I_{u} = I_{x} cos2θ + I_{y}sin2θ – 2I_{xy}cosθsinθ

b) I_{v} = I_{x}cos2θ + I_{y}sin2θ – 2I_{xy}cosθsinθ

c) I_{u} = I_{x}cos2θ + I_{y}sin2θ – 2I_{xy}cosθsinθ

d) I_{v} = I_{x}cos2θ + I_{y}sin2θ + 2I_{xy}cosθsinθ

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4. In the calculations of the moment of inertia of the area about an inclined axis, we have some transformation done. They are:

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5. In the calculations of the moment of inertia of the area about an inclined axis, we have some transformation done. They are:

a) v = xcosθ + ysinθ

b) v = xcosθ – ysinθ

c) v = ycosθ + xsinθ

d) v = ycosθ – xsinθ

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6. There is parallel axis theorem for the area, and it is can be used to determine the moment of inertia of an area about inclined axis.

a) True

b) False

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7. Determine the moment of inertia of the area about y-axis.

a) 0.273m^{2}

b) 11m^{2}

c) 0.141m^{2}

d) 0.811m^{2}

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8. In the calculations of the moment of inertia of the area about an inclined axis, we have some transformation done. They are:

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9. In the calculations of the moment of inertia of the area about an inclined axis, we have some transformation done. They are:

a) Iu = Ixcos2θ + Iysin2θ – 2Ixycosθsinθ

b) Iv = Ixcos2θ + Iysin2θ – 2Ixycosθsinθ

c) Iu = Ixcos2θ + Iysin2θ – 2Ixycosθsinθ

d) Iv = Ixcos2θ – Iysin2θ + 2Ixycosθsinθ

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10. Moment of Inertia about an inclined axis is the integration of the cube of the distance of the centroid and the del area along the whole area of the structure and after this calculations we multiply the moment of areas.

a) True

b) False

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11. Determine the moment of inertia of the area about x-axis.

a) 0.111m^{2}

b) 11m^{2}

c) 0.141m^{2}

d) 0.811m^{2}

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12. In the calculations of the moment of inertia of the area about an inclined axis, we have some transformation done. They are:

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13. In the calculations of the moment of inertia of the area about an inclined axis, we have some transformation done. They are:

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14. In the calculations of the moment of inertia of the area about an inclined axis, we have some transformation done. They are:

a) Iuv = Ixcosθsinθ – Iysinθcosθ + Ixy (cos^{2}θ-sin^{2}θ)

b) Iuv = Ixcosθsinθ + Iysinθcosθ – Ixy (cos^{2}θ-sin^{2}θ)

c) Iuv = Ixcosθsinθ – Iysinθcosθ – Ixy (cos^{2}θ-sin^{2}θ)

d) Iuv = Ixcosθsinθ + Iysinθcosθ + Ixy(cos^{2}θ-sin^{2}θ)

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15. If any external moment along with the force is applied on the structure and we are determining the moment of inertia for areas about inclined axis then what should we consider?

a) The net force will act at the centroid of the structure only

b) The net load will not be formed as all the forces will be cancelled

c) The net force will act on the base of the loading horizontally

d) The net force will not to be considered, there would be a net force of the distribution, rest will be the external forces

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## Set 2

1. Which of the following is correct in bending moment diagram 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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2. What does the moment of the force measure in the bending moment diagram?

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 produce by the single force acting on the body

d) The total work done on the body by the force

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3. Determine the moment’s magnitude produce by the force as shown in the diagram, which tends to rotate the rod ORQP along QP.

a) 80.49 Nm

b) 72.12 Nm

c) -36.67 Nm

d) 36.67 Nm

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4. The moment of the force in bending moment diagram is the product of the force and the perpendicular distance of the axis and the point of action of the force.

a) True

b) False

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5. If any force is applied in the direction of the positive x-axis, and there are three different point in bending moment diagram 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. Determine the moment of the force F along the segment QP of the pipe assembly shown in the figure.

a) 110Nm

b) 100Nm

c) 500Nm

d) 510Nm

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7. Which of the following is true for bending moment diagram?

a) Total moment of various forces acting on the body is the vector sum of all moments

b) Total moment of various forces acting on the body is the algebraic sum of all moments

c) Total moment of various forces acting on the body is always zero

d) Total moment of various forces acting on the body is the vector sum of all moments which is perpendicular to each other forces

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8. If you are getting to know about the direction of the moment caused by the force applied on the body by using your wrist and curling it in the direction of the rotation then which of the following is not right for bending moment diagram?

a) The thumb represents the direction of the force

b) The thumb represents the direction of the moment

c) The fingers represents the direction of the force

d) The direction in which you curl your wrist is towards the direction of the distance from point of contact of force to the axis of rotation.

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9. If the rotation is clockwise in this page, suppose, then in which direction will the thumb project if you curl your hand in the same direction of the rotation for bending moment diagram?

a) It will point to the direction perpendicular to the plane of paper and towards you

b) It will point to the direction perpendicular to the plane of paper and away from you

c) It will point to the direction parallel to the plane of paper and towards right

d) It will point to the direction parallel to the plane of paper and towards left

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10. The tendency of rotation of the body along any axis in bending moment diagram is also called ___________

a) Moment of inertia

b) Moment of couple

c) Torque

d) Force

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11. What does FLsinθ means/represents in bending moment diagram 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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12. The moment axis, force and the perpendicular distance in the bending moment diagram 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

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13. 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 in bending moment diagram?

a) Associative property

b) Distributive property

c) Negative associative property

d) Principle transmissibility of the force

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14. The basic way of getting the direction of the moment caused by the force in bending moment diagram 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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15. 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 in bending moment diagram is said to be______________

a) Couple

b) Sliding vector

c) Slider couple

d) Couple slider

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## Set 3

1. Flexible cable 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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2. In the support system of the bridges and trolley wheel ____________ form the main loading carrying element in the structure.

a) Cable

b) Beams

c) Pillars

d) Cement mortar

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3. The force on the cables is not neglected in the calculations of the load distribution.

a) False

b) True

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4. The cable 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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5. The assumptions for the calculations 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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6. The assumptions for the calculations are done for the cables. 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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7. Determine the force in the section QR as shown in the figure.

a) 10.2KN

b) 12.6KN

c) 3.6KN

d) 11.6KN

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8. Due to which property the cable, it offers no resistance to bending?

a) Extensible property

b) Non-flexible property

c) Flexibility property

d) Static property

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9. The tensile force acting on the cable 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. Being inextensible the cable has ___________ length.

a) Infinite

b) Zero

c) Average to zero

d) Constant

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11. The loading in the cable 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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12. Cable takes a shape of a ____________ when is subjected to loadings.

a) Helix

b) Line

c) Spring

d) Complex figure

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13. The various points in the cable is facing a ____________ tensile force.

a) Constant

b) Variable

c) Insufficient

d) Non

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14. If the unknown variables in the calculations 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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15. Determine the force in the section PQ as shown in the figure.

a) 13.6KN

b) 12.6KN

c) 3.6KN

d) 11.6KN

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## Set 4

1. The determination of the internal loading in the different structures is usually done so as to___________

a) Break the structure

b) Know the length

c) Know the diameter

d) Design the structure

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2. Determine the moment generated at R.

a) 18.75KNm

b) 8.75KNm

c) 1.75KNm

d) 175KNm

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3. Choose the correct one.

a) In a coplanar system the moment of the force is chose about a point instead of axis

b) In a coplanar system the moment of the force is chose about an axis instead of a point

c) In a 3D system the moment of the force is chose about a point instead of axis

d) In a 3D system the moment of the force is chose about an axis which is perpendicular ot the direction of the force

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4. The slope of the shear diagram of the different structure is equal to__________

a) Rotational moment

b) Bending moment

c) Total weight

d) Distributed load intensity

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5. Free body diagrams doesn’t play any role in making the calculations on the conditions of the resultants of the body.

a) True

b) False

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6. The simplification of the forces on the axis is done as __________

a) A particular system of rule is followed

b) No simplification of the forces is possible

c) The forces are already simplified and don’t need simplification

d) The forces are very tentative quantity on terms of simplification and hence no simplification possible

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7. Determine the shear force of the beam shown.

a) 450N

b) 50N

c) 40N

d) 45N

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8. The net forces of acting on the body needs to be zero. This is also applicable for the simply supported structures. This means that the support reaction are also counted in making the net force zero.

a) True

b) False

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9. What does the Newton’s third law states?

a) The rate of change of momentum is equal to the force applied

b) For every reaction there is an opposite reaction

c) The body is tend to be rotated if the force is applied tangentially

d) The body is rest until a force is applied

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10. The ___________ forces do not cause the rotation.

a) Non-concurrent

b) Concurrent

c) Parallel

d) Non-Parallel

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11. Which of the following is correct?

a) The application of the conditions of the equilibrium of the body is valid only if the forces are collinear

b) The application of the conditions of the equilibrium of the body is valid only if the forces are parallel

c) The application of the conditions of the equilibrium of the body is valid only if the forces are perpendicular

d) The application of the conditions of the equilibrium of the body is valid throughout

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12. For the conditions of the equilibrium of the body, i.e. the rigid body only the external forces defines the equilibrium. And the support reactions only cancels out the rotation part of the body.

a) The first part of the statement is false and other part is true

b) The first part of the statement is false and other part is false too

c) The first part of the statement is true and other part is false

d) The first part of the statement is true and other part is true too

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13. The simplification of the couple for getting the resultant is done on the basis of the ___________

a) The clockwise of the anti-clockwise rotation sign convention

b) The simplification is not possible

c) The couple is a vector and thus can’t be simplified

d) The couple is a scalar and can’t be simplified

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14. If the supports are properly aligned then the reaction forces developed are adequate to support the body.

a) Statement is true only in 2D

b) Statement is true only in 3D

c) Statement is true throughout

d) Statement is true only in 1D

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15. 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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## Set 5

1. In right handed coordinate system which axis is considered to be positive?

a) Thumb is z-axis, fingers curled from x-axis to y-axis

b) Thumb is x-axis, fingers curled from z-axis to y-axis

c) Thumb is y-axis, fingers curled from x-axis to z-axis

d) Thumb is z-axis, fingers curled from y-axis to x-axis

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2. 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 sum of squares of the three, i.e. A, B and C

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3. If the force vector F 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

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4. Which statement is right for force vector F = Ai + Bj + Ck?

a) In rectangular components representation of any vector we have vector F = Ai + Bj + Ck

b) In rectangular components representation of any vector we have vector F = Ax + By + Cz

c) In rectangular components representation of any vector we have vector F = Fx + Fy + Fz

d) In rectangular components representation of any vector we have vector F = Fi + Fj + Fk

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5. What is the magnitude of the Cartesian vector having the x, y and z axis components to be A, B and C?

a) Square root of the squares each A, B and C

b) Square of the squares each A, B and C

c) Cube root of the squares each A, B and C

d) Cube of the squares each A, B and C

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6. 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

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7. What is the sum of squares of the cosine angles made by the force vector with the coordinate axis?

a) 1

b) ½

c) 2

d) 3

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8. What is x-axis component of the force vector Ai + Bj +Ck with magnitude equal to F?

a) B

b) C

c) Fcosα

d) Fcosβ

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9. We can add the force vectors directly. But with dividing each by it’s magnitude first. (True/False)

a) True

b) False

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10. For a vector F, Fcosβ is equal to zero. What does this refer?

a) X-axis component is zero

b) Y-axis component is zero

c) Z-axis component is zero

d) β = 180˚

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11. Which statement is correct about the vector F?

a) F= Fcos β + Fcos α + Fcosγ

b) F= Fsin β + Fcos α + Fcosγ

c) F= Fcos β + Fsin α + Fcosγ

d) F= Fcos β + Fcos α + Fsinγ

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12. Which is true?

a) ∑F = ∑Fx + ∑Fy + ∑Fz

b) ∑F = -(∑Fx + ∑Fy + ∑Fz)

c) ∑F = ∑Fxi + ∑Fyj + ∑Fzk

d) ∑F = -(∑Fxi+ ∑Fyj + ∑Fzk)

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13. Find the angle α, for the vector making an angle by y and z axis as 60˚ and 45˚ respectively. It makes an angle of α with x-axis. The magnitude of the force is 200N.

a) 60˚

b) 120˚

c) 45˚

d) 90˚

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14. 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

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15. Express F = 100 N (shown in the figure below) as a Cartesian vector.

a) 35.4i – 35.4j + 86.6k

b) 35.4i – 35.4j – 86.6k

c) 35.4i – 35.4j – 86.6k

d) 35.4i + 35.4j + 86.6k