# Multiple choice question for engineering

## Set 1

1. Determine the smallest force applied at R which creates the same moment about P as by 75N.

a) 37.5N

b) 112.5N

c) 60N

d) 0N

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2. 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 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. If a car is moving forward, what is the direction of the moment of the moment caused by the rotation of the tires?

a) It is heading inwards, i.e. the direction is towards inside of the car

b) It is heading outwards, i.e. the direction is towards outside of the car

c) It is heading forward, i.e. the direction is towards the forward direction of the motion of the car

d) It is heading backward, i.e. the direction is towards back side of the motion of the car

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4. 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

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5. The moment of the force 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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6. Determine the moment about the point T.

a) 0Nm

b) 350Nm

c) 100Nm

d) 200Nm

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7. The moment axis is in the direction perpendicular to the plane of the force and the distance.

a) True

b) False

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8. Find the moment along T.

a) 1200Nm

b) 600Nm

c) 0Nm

d) 1400Nm

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9. 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?

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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10. 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

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11. 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?

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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12. Which of the following is true?

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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13. Determine the moment about the point R.

a) 0Nm

b) 350Nm

c) 100Nm

d) 200Nm

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14. Find the moment along Q.

a) 1200Nm

b) 600Nm

c) 0Nm

d) 1400Nm

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15. Determine the moment of the force along point P.

a) 110Nm

b) 112.5Nm

c) 60Nm

d) 0Nm

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## Set 2

1. 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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2. The calculation of the moment about the axis and the moment about any point by a force applied on the body are different from each other.

a) True

b) False

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3. 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 coordinates

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

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4. Which of the following is correct? (For A representing the vector representation of the axis of rotation, r the radius vector and F the force vector)

a) A.(rxF)

b) Ax(rxF)

c) A.(r.F)

d) Fx(r.F)

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5. In the equation A.(rxF), the r vector is what?

a) The magnitude of the axis, i.e. the length of the axis

b) The length of the force vector

c) The length of the radius

d) The radius vector

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6. The axis vector in the calculation of the moment along the axis of rotation is the axis which is collinear with the force vector.

a) True

b) False

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7. Which of the following is correct?

a) We cannot represent the moment caused by the force along any axis in vector form

b) We can represent the moment caused by the force along any axis in scalar form

c) We cannot represent the moment caused by the force along any point in vector form

d) We can represent the moment caused by the force along any axis in vector form

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8. 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

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9. In the equation A.(rxF) the r is heading from ______________ and ending at _____________

a) Axis of rotation, Force vector

b) Axis of rotation, Force vector’s point of action on the body

c) Force vector, Axis of rotation

d) Force vector’s point of action on the body, Axis of rotation

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10. What if the moment of the force calculated about the axis is negative?

a) It means that the force is applied in the opposite direction as imagined

b) It means that the direction of the motion is in the opposite sense as imagined

c) It means that the radius vector is in the opposite sense as imagined

d) Such calculation means that the calculations are wrongly done

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11. Determine the moment MQP in the vector form produce by the force as shown in the diagram, which tends to rotate the rod ORQP along QP.

a) 72i + 36j Nm

b) 72i – 36j Nm

c) -72i – 36j Nm

d) -72i + 36j Nm

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12. 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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13. Determine the magnitude of the moment of the force about the axis PQ.

a) -72Nm

b) 82Nm

c) 90Nm

d) 50Nm

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14. Determine the magnitude of the moment of the force about the y-axis.

a) -72Nm

b) 82Nm

c) 210Nm

d) 50Nm

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15. The ___________ forces do not cause the rotation if the rotation is considered in about the axis of the body or the centroid axis of the body.

a) Non-concurrent

b) Concurrent

c) Parallel

d) Non-Parallel

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## Set 3

1. Whenever the distributed loading acts perpendicular to an area its intensity varies __________

a) Linearly

b) Non-Linearly

c) Parabolically

d) Cubically

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2. 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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3. The calculation of the moment of the body due to the loadings involve a quantity called ____________

a) Moment

b) Inertia

c) Moment of Inertia

d) Rotation

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4. Moment of Inertia is the integration of the square of the distance of the centroid and the del area along the whole area of the structure.

a) True

b) False

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5. There is perpendicular axis theorem for the area.

a) True

b) False

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6. What is parallel axis theorem and to whom it is applied?

a) Theorem used to add the two mutually perpendicular moment of inertias for areas

b) Theorem used to add the two mutually perpendicular moment of inertias for volumes

c) Theorem used to add the two mutually perpendicular moment of inertias for linear distances

d) Theorem used to add the two mutually perpendicular moment of inertias for vectors

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7. The parallel axis theorem gives the moment of inertia ______________ to the surface of considerance.

a) Linear

b) Non-Linear

c) Perpendicular

d) Parallel

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8. The parallel axis theorem can add any angle varied moment of inertias to give the perpendicular moment of inertia.

a) True

b) False

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9. The parallel axis theorem uses the ____________ of the distance.

a) Square root

b) Square

c) Cube root

d) Cube

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10. The distance in the parallel axis theorem is multiplied by ___________

a) Area

b) Volume

c) Linear distance

d) Area/Volume

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11. One of the use of the centre of mass or centroid is as in the moment of inertia is that the net force acts at the ___________ of the loading body.

a) Centroid

b) The centre axis

c) The corner

d) The base

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12. If the non-Uniform loading is of the type of parabola then for calculating the moment of inertia for areas?

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

b) The net force will act the centre of the parabola

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

d) The net force will act at the centroid of the parabola

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13. If any external force also is applied on the structure and we are determining the moment of inertia 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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14. The body is sometimes acted by two or three force members and we need to find the moment of inertia for the same. The difference between the two and the three force members is:

a) The former is collinear and the latter is parallel

b) The former is parallel and the latter is perpendicular

c) The former is perpendicular and the latter is collinear

d) The former is acting on two points in the body while the latter is on three points

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15. 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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## Set 4

1. If the non-Uniform loading is of the type of parabola then for calculating the moment of inertia for areas inclined at an axis?

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

b) The net force will act the centre of the parabola

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

d) The net force will act at the centroid of the parabola

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2. Determine the orientation of the principle axis for the cross section of area of member shown whose width is 100mm.

a) 57.1˚

b) 5.1˚

c) 7.1˚

d) 52.1˚

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3. The product of Inertia for an area is required so as to__________

a) Determine Maximum moments of inertia for an Area

b) Determine Maximum moments of inertia for a Line

c) Determine Maximum moments of inertia for a Volume

d) Determine Maximum moments of inertia for a Rectangle

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4. Moment of Inertia about an inclined axis is the integration of the square 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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5. The product of moment of inertia is the sum of _____________ and _________________. It can be used in the calculations of moments of inertia for an area about inclined axis.

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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6. There is perpendicular 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. If any external force also 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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8. Determine the magnitude of the principle moment of inertia for the cross section of area of member shown whose width is 100mm.

`

a) 7.54 x 109 mm^{2}

b) 54 x 109 mm^{2}

c) 3.4 x 109 mm^{2}

d) 1.54 x 109 mm^{2}

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9. The calculation of moment of inertia about inclined axis due to the loadings involve a quantity called ____________

a) Moment

b) Inertia

c) Moment of Inertia

d) Rotation

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10. Whenever the distributed loading acts perpendicular to an area its intensity varies __________ for the determination of moment of inertia about the inclined axis.

a) Linearly

b) Non-Linearly

c) Parabolically

d) Cubically

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11. The distance in the parallel axis theorem for the use in the determination of the moment of inertia about an inclined axis is multiplied by:

a) Area

b) Volume

c) Linear distance

d) Area/Volume

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12. One of the use of the centre of mass or centroid is as in the determination of the moment of inertia about an inclined plane is that the net force acts at the ___________ of the loading body.

a) Centroid

b) The centre axis

c) The corner

d) The base

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13. What is parallel axis theorem and to whom it is applied so that it can give the product of inertia of an area of an area inclined about an axis?

a) Theorem used to add the two mutually perpendicular moment of inertias for areas

b) Theorem used to add the two mutually perpendicular moment of inertias for volumes

c) Theorem used to add the two mutually perpendicular moment of inertias for linear distances

d) Theorem used to add the two mutually perpendicular moment of inertias for vectors

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14. The body is sometimes acted by two or three force members and we need to find the moment of inertia about the inclined axis for the same. The difference between the two and the three force members is:

a) The former is collinear and the latter is parallel

b) The former is parallel and the latter is perpendicular

c) The former is perpendicular and the latter is collinear

d) The former is acting on two points in the body while the latter is on three points

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15. The parallel axis theorem can add any angle varied moment of inertias to give the perpendicular moment of inertia and it can be used in the determination of the moment of inertia about inclined axis.

a) True

b) False

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## Set 5

1. For making the equilibrium equations the normal forces acts in which direction in the free body diagrams?

a) Vertically Upward

b) Vertically Downward

c) Horizontally Right

d) Horizontally Left

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2. Which one is not the condition for the equilibrium in free body diagram for calculation of the normal forces, consider all forces to be straight and linear?

a) ∑Fx=0

b) ∑Fy=0

c) ∑Fz=0

d) ∑F≠0

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3. We first make equilibrium equations of the body by considering all the three dimensional forces acting on the section chosen and then the free body diagram is made and solved.

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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4. We show the net forces by the help of __________ forces.

a) Rotational

b) Linear

c) Helical

d) Resultants

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5. There are main two types of forces which are being stated in the free body diagram, they are generally the resultant 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 Fractional

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6. In the problems regarding the friction and normal force calculations there is no scope of the two force and three force systems.

a) True

b) False

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7. The difference between the two and the three force members is:

a) The former is collinear and the latter is parallel

b) The former is parallel and the latter is perpendicular

c) The former is perpendicular and the latter is collinear

d) The former is acting on two points in the body while the latter is on three points

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8. There is the application of the Newton’s third law of motion in the free body diagrams of the friction calculations.

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 net moment of the body is zero that means the distance between the force and the rotational axis is zero.

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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11. As we are using vector math to solve for the unknown forces in the free body diagrams, what is k.i?

a) 0

b) 1

c) -1

d) ∞

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12. The three force system can also be in the equilibrium if:

a) All the forces are parallel to each other heading towards the same direction

b) The force components cancel each other

c) The forces are very small in magnitude

d) The forces are very huge in magnitude

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13. The normal forces and the forces of friction are collinear.

a) True

b) False

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14. Determine the horizontal force acting in the given figure.

a) 80cos30

b) 60cos30

c) 40cos30

d) 8cos30

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15. Determine the vertical force acting in the given figure.

a) 236N

b) 600n

c) 403N

d) 830N