# Multiple choice question for engineering

## Set 1

1. The main condition for the rigid body is that the distance between various particles of the body does change.

a) True

b) False

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2. The shown here has a mass of 100kg. What is missing here in the diagram?

a) The weight of the body is not shown

b) The moment of the force is not shown

c) The body cant be held like this

d) The body diagonal is not shown

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3. 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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4. Determine the horizontal components of the reaction on the beam caused by the pin at P. The force 60N is multiplied by 10 and then is applied.

a) 424N

b) 24N

c) 44N

d) 441N

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5. For equilibrium the net force acting on the body is zero.

a) True

b) False

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6. For equilibrium the net moment acting on the body by various forces is zero.

a) True

b) False

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7. Determine the vertical components of the reaction on the beam caused by the pin at Q. The force 60N is multiplied by 10 and then is applied.

a) 319N

b) 445N

c) 45N

d) 40N

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8. 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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9. Determine the horizontal components of the reaction on the beam caused by the roller at P.

a) 536N

b) 536cos30N

c) 536sin30N

d) 536tan30N

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10. The net force of the body is zero that means the force are not being applied to the body at all and hence the body is in equilibrium.

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. Which of the following is correct?

a) The application of the conditions of the equilibrium of the body is valid only in the 2D

b) The application of the conditions of the equilibrium of the body is valid only in the 3D

c) The application of the conditions of the equilibrium of the body is valid only in the 1D

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

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12. Determine the vertical components of the reaction on the beam caused by the roller at P.

a) 536N

b) 536cos30N

c) 536sin30N

d) 536tan30N

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13. For the conditions of the equilibrium of the body, i.e. the rigid body only the external forces defines the equilibrium. Because the internal forces cancels out so not to be considered.

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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14. Which of the following needs to zero for the perfect equilibrium?

a) ∑F=0, ∑M=0 and ∑θ = 0

b) ∑F=0, ∑M≠0 and ∑θ = 0

c) ∑F≠0, ∑M=0 and ∑θ = 0

d) ∑F=0, ∑M=0 and ∑θ≠0

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15. Determine the vertical components of the reaction on the beam caused by the pin at P. The force 60N is multiplied by 10 and then is applied.

a) 405N

b) 445N

c) 45N

d) 40N

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## Set 2

1. If a block moves from a height h above the ground then the work done is given by_______

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2. If any external conservative force also is applied on the distributed loading then?

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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3. Find the tension in the cable AC.

a) 23.6N

b) 55N

c) 89N

d) -29N

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

a) 1

b) ½

c) 2

d) 3

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5. ____________ is the phenomena that resist the movement of the two surfaces in contact. This phenomena is also having its scope in the work and the conservative nature of the force.

a) Friction

b) Motion

c) Circular movement

d) Rotation

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6. In the explanation of the theory of friction over which conservative forces were acted upon, the block used have an assumption. That is the upper portion of the block is considered to be rigid.

a) True

b) False

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7. Work done by a spring to a body from moving it from x1 to x2 distance is given by _________

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8. Which statement is right for conservative 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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9. For equilibrium the net moment acting on the body by various conservative forces is zero.

a) True

b) False

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10. Determine the horizontal components of the reaction on the beam caused by the pin at Q. The force 60N is multiplied by 10 and then is applied.

a) 0N

b) 445N

c) 45N

d) 40N

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11. The conservative frictional force always acts ____________ to the surface of the application of the friction.

a) Tangential

b) Perpendicular

c) Parallel

d) Normal

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12. What does the Newton’s third law states for the conservative forces?

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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13. We use sometimes the measures to know the direction of moment in the calculations of the moments caused by the conservative forces. Which one is right about it(consider the mentioned axis 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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14. For the conditions of the equilibrium of the body, i.e. the rigid body only the external conservative forces defines the equilibrium. Because the internal conservative forces cancels out so not to be considered.

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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15. Which statement is correct about the vector F in the showing the conservative nature of the forces?

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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## Set 3

1. To satisfy the conditions of the equilibrium, the must not only be having a net force zero, but also be properly held or constrained on its supports.

a) True

b) False

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2. A homogeneous plate is shown has a mass of 100kg and is subjected to a force and a system of couple along its edge. If it is supported by a horizontal plane and a roller at R a ball and socket joint at P and a cord at Q, determine the vertical reaction at the support P.

a) -217N

b) 80N

c) 700N

d) -250N

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3. What is redundant support?

a) The supports consisting of hinge and a roller

b) The supports consisting of hinge only

c) The supports consisting of roller only

d) The supports more than necessary to hold the structure

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4. A homogeneous plate is shown has a mass of 100kg and is subjected to a force and a system of couple along its edge. If it is supported by a horizontal plane and a roller at R a ball and socket joint at P and a cord at Q, determine the horizontal reaction at the support P.

a) 0N

b) 80N

c) 200N

d) 100N

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5. Statically indeterminacy means?

a) There will be less equations available for equilibrium than the unknown loadings

b) There will be more equations available for equilibrium than the unknown loadings

c) There will be equal equations available for equilibrium as the unknown loadings

d) The support reactions are opposite to each other

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6. A homogeneous plate is shown has a mass of 100kg and is subjected to a force and a system of couple along its edge. If it is supported by a horizontal plane and a roller at R a ball and socket joint at P and a cord at Q, determine the horizontal reaction at the support R.

a) 0N

b) 30N

c) 20N

d) 10N

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7. The additional equations invented in the statically indeterminacy condition is solved by __________

a) Deformation conditions at the point of supports

b) Rotational equations

c) Translation equations

d) Linear rotation equations

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8. The generation of equal equations available for equilibrium as the unknown loadings always guarantees the stability of the body.

a) True

b) False

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9. In 3D the body will be improperly constrained if the axis is intersected by the reaction forces.

a) The statement is right

b) The statement is wrong

c) The statement is right if there is ‘2D’

d) The statement is right if there is ‘support reaction’

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10. The improper constraining leading to instability occurs when ___________________

a) The reactive forces are parallel

b) The reactive forces are perpendicular

c) The reactive forces are equal

d) The reactive forces are rotational

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11. A homogeneous plate is shown has a mass of 100kg and is subjected to a force and a system of couple along its edge. If it is supported by a horizontal plane and a roller at R a ball and socket joint at P and a cord at Q, determine the sum of all the vertical forces at the supports.

a) 1280N

b) 80N

c) 200N

d) 100N

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12. A homogeneous plate is shown has a mass of 100kg and is subjected to a force and a system of couple along its edge. If it is supported by a horizontal plane and a roller at R a ball and socket joint at P and a cord at Q, determine the vertical reaction at the support Q.

a) 707N

b) 80N

c) 200N

d) 100N

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13. What is partially constrained?

a) There will be less equations available for equilibrium than the reactive forces

b) There will be more equations available for equilibrium than the reactive forces

c) There will be equal equations available for equilibrium as the reactive forces

d) The support reactions are opposite to each other

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14. If all the reactive forces are intersecting at the common point or pass through a common axis when _____________

a) The body is in equilibrium

b) The body is said to be achieve stability but no equilibrium

c) The body is said to be improperly constrained

d) The body is in deformation

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15. A homogeneous plate is shown has a mass of 100kg and is subjected to a force and a system of couple along its edge. If it is supported by a horizontal plane and a roller at R a ball and socket joint at P and a cord at Q, determine the vertical reaction at the support R.

a) 790N

b) 80N

c) 200N

d) 100N

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## Set 4

1. Just like the collinear forces for free body diagrams there are collinear couple and the net moment is taken out from it.

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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2. The simplification of the forces on the free body diagrams 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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3. In the figure given below, calculate the value of cosγ. (γ is the angle made by the resultant vector and the z-axis)

a) 0.866

b) -0.354

c) 0.540

d) 0.354

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4. The system of the collinear and the parallel force in free body diagrams are simplified as _________

a) The simplified collinear force system gives us a net force and the parallel force system gives us a simplified force, and then we add it vectorially

b) Such simplification is not possible

c) The simplification is usually done by not considering the directions of the both

d) The simplification is done by considering the rotations only

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5. The couple is a scalar quantity and the force is vector quantity and hence only force can be simplified in free body diagrams.

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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6. The couple is simplified easily by the help of right hand rule in free body diagrams. But the forces simplification is not possible as there is no such system of rules so that the forces can be simplified.

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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7. The couple and the other two force systems in free body diagrams can be easily simplified.

a) Statement is wrong

b) Statement is right

c) Statement is right if we remove ‘couple’ part

d) Statement is right if we remove ‘force’ part

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8. Determine the vertical components of the reaction on the beam at pin Q.

a) 4kN

b) 3kN

c) 2kN

d) 1kN

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9. The force and the couple can’t be simplified together as one is the cause and the other is the effect in free body diagrams.

a) The statement is correct and the reason given is also correct

b) The statement is wrong but the reason given is also correct

c) The statement is wrong and the reason given is also wrong

d) The statement is correct but the reason given is also wrong

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10. What is a collinear system of forces for free body diagrams?

a) The force system having all the forces parallel to each other

b) The force system having all the forces perpendicular to each other

c) The force system having all the forces emerging from a single point

d) Forces cannot form a collinear system of forces, it is not possible

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11. The main moto of the free body diagrams is to:

a) To reduce the calculation

b) To add the forces with the couples and take out the total

c) To subtract the forces with the couples and take out the total

d) To multiply the forces with the couples and take out the total

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12. The couple moment and the force is divided to get the distance of the axis from the point of action of the force in free body diagrams.

a) True

b) False

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13. The simplification of the couple is done for free body diagrams 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. Principle of transmissibility for free body diagrams is:

a) It states that the force acting on the body is a sliding vector

b) It states that the force acting on the body is a rolling vector

c) It states that the force acting on the body is a wedging vector

d) It states that the force acting on the body is a unit vector

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15. Just like the collinear force system for free body diagrams there is a system of the parallel forces.

a) True

b) False

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## Set 5

1. Determine the magnitude of the projection of the vector force F = 100N, onto the u axis, from the figure given below.

a) 96.6N

b) 60N

c) 100N

d) 70.7N

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2. For two vectors A and B, what is A.B (if they have angle α between them)?

a) |A||B| cosα

b) |A||B|

c) √(|A||B|) cosα

d) |A||B| sinα

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3. Which statement is right?

a) Communitive law: A.B =B.A

b) Multiplicative law: a(A.B) = Ax(aB)

c) Multiplicative law: A.(B+D) = (A.B) + (A.D)

d) Communitive law: a(A.B) = A.(aB)

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4. What is Distributive law?

a) A.B =B.A

b) a(A.B) = A.(aB)

c) A.(B+D) = (A.B) + (A.D)

d) a(A.B) = AxB

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5. What is multiplication law?

a) A.B =B.A

b) a(A.B) = A.(aB)

c) A.(B+D) = (A.B) + (A.D)

d) a(A.B) = AxB

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6. Which is true for two vector A = A1i + A2j + A3k and B = B1i + B2j + B3k?

a) A.B = A1B1 + A2B2 + A3B3

b) AxB = A1B1 + A2B2 + A3B3

c) A.B = A1B2 + A2B3 + A3B1

d) AxB = A1B2 + A2B3 + A3B1

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7. Determine the magnitude of the force F = 300j parallel to the direction of AB?

a) 155N

b) 257.1N

c) 200N

d) 175N

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8. What is k.i?

a) 0

b) 1

c) -1

d) ∞

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9. What is {(i.i) + (-i.j) + (-k.k) + (k.i)}.(Ai +Bj + Cz)?

a) 1

b) 0

c) A + B + C

d) -1

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10. α = cos-1(A.B/AB). What is the range of α?

a) 0˚<α<90˚

b) 0˚<α<180˚

c) 90˚<α<180C

d) 0˚<α<45˚

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11. What is the value of {(AxB).(C.D)x(AxB).(C.D)}? For the four vectors A, B, C and D, with A, B, C and D all lying in the same plane?

a) i + j + k

b) √3(i + j + k)

c) 0

d) -1(i + j + k)

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12. What is (AxB).(BxA); or A = A1i + A2j + A3k and B = B1i + B2j + B3k?

a) 0

b) A1B1A2B2i + A2B2A3B3j + A3B3A1B1k

c) A1B1A1B2i + A2B2A3B2j + A3B3A1B3k

d) A1B1A2B1i + A2B2A2B3j + A3B3A2B1k

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13. What is the value of θ in the figure given below ?

a) 69˚

b) 60˚

c) 55˚

d) 90˚

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14. Refer to the diagram given below, determine the magnitude of the force F = 300j perpendicular to the direction of AB.

a) 155N

b) 257.1N

c) 200N

d) 175N

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15. Determine the magnitude of the projection of the vector force F = 100N, onto the v axis, from the figure given below.

a) 96.6N

b) 60N

c) 100N

d) 70.7N