# Multiple choice question for engineering

## Set 1

1. 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

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2. The theorem of Pappus and Guldinus states that the area of the revolving curve is ______________

a) Product of the area, length of generated curve and the radius vector

b) Product of the area, length of generated curve and the perpendicular distance from axis

c) Product of the volume, length of generated curve and the radius vector

d) Product of the volume, length of generated curve and the perpendicular distance from axis

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3. The theorem of Pappus and Guldinus is used to find the ____________

a) Surface area of the body

b) Volume of the body of revolution

c) Surface area of the body of linear motion

d) Surface area of the body of rectangular motion

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4. Determine the surface area of the structure when rotated about the ray P.

a) 134m^{2}

a) 143m^{2}

a) 154m^{2}

a) 169m^{2}

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5. Product of the area, ______________________ and the perpendicular distance from axis are being used in the theorem to find the area of the revolution.

a) Length of generated curve

b) Length of generated radius

c) Length of generated length vector

d) Length of generated area vector

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6. The distance used in the theorem is the distance travelled by ______________

a) Body

b) Body’s centroid

c) Body’s length vector

d) Body’s radius vector

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7. 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

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8. The maximum value of the frictional force that can be applied to the composite body under which the theorem of the Pappus and Guldinus is going to be applied is called _________

a) Limiting Friction

b) Non-Limiting Friction

c) Limiting Action Friction

d) Non-Limiting Action Friction

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9. Determine the volume of the structure when rotated about the ray P.

a) 47.6m^{3}

a) 43m^{3}

a) 14m^{3}

a) 19m^{3}

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10. 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

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11. We use sometimes the measures to know the direction of moment. It is done by right handed coordinate system. Which is right about it for the bodies over which this theorem is going to be applied (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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12. What is not the condition for the equilibrium in three dimensional system of axis for the bodies for which this theorem is going to be applied?

a) ∑Fx=0

b) ∑Fy=0

c) ∑Fz=0

d) ∑F≠0

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13. What is a collinear system of forces for the bodies over which this theorem is to apply?

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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14. The system of the collinear and the parallel force for the bodies over which this theorem is to be applied 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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15. If solving the question in 3D calculations is difficult, then use the 2D system to make the use of the theorem.

a) True

b) False

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## Set 2

1. What is not the condition for the equilibrium in three dimensional system of axis?

a) ∑Fx=0

b) ∑Fy=0

c) ∑Fz=0

d) ∑F≠0

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2. State true or false. We first make equilibrium equations and then the free body diagram and then solve the question?

a) True

b) False

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3. 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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4. 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 AB section.

a) 900N

b) 693N

c) 646N

d) 0N

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5. Find the tension in the cable AC.

a) 23.6N

b) 55N

c) 89N

d) -29N

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6. Determine the value of the q, parallel to the z axis. That is the point of intersection of the projections of the points A, B and C parallel to the xy plane. With the distance between the tri-section point and the points A, B and C be equal to 0.6m.

a) 51.9cm

b) 51.9mm

c) 51.9m

d) 5.19mm

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7. ∑Fx=0, ∑Fy=0 and ∑Fz=0 are vector equations.

a) True

b) False

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8. When the body is in equilibrium then which of the following is true?

a) We equate all the components of the forces acting on the body equal to their resultant vector’s magnitude

b) We equate all the components of the forces acting on the body equal to their resultant vector’s magnitude square

c) We equate all the components of the forces acting on the body equal to their resultant vector’s magnitude square root

d) We equate all the components of the forces acting on the body equal to zero

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9. If solving the question in 3D calculations is difficult, then use the 2D system and then equate the total net force to zero.

a) True

b) False

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10. If the resolved force or the force which you get as the answer after solving the question is negative, then what does this implies?

a) The force is in the reverse direction w.r.t the direction set in the free body diagram

b) The force is not in the reverse direction w.r.t the direction set in the free body diagram

c) The force component is not possible

d) The force is possible, but in the direction perpendicular to the resultant force

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11. An electromagnet crane is carrying the electromagnet with the help of the three cables. But the electromagnet is not stable because of the wind. What is science behind the cause?

a) The wind is making the net force of the body equal to a non-zero value

b) The wind is making the net force of the body equal to zero value

c) The wind is making the net force of the body equal to a non-zero value but is supporting the equilibrium

d) The wind is making the net force of the body equal to zero value and supporting equilibrium

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12. If any body is tied to three or more ropes, and then is allowed to achieve its equilibrium. Then the equilibrium achieved is achieved w.r.t what?

a) The three axis of the body

b) The ground

c) The ropes direction

d) The weight direction

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## Set 3

1. 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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2. 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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3. Which of the following is correct?

a) The two force members doesn’t apply the moments to the body

b) The three force members doesn’t apply the moments to the body

c) Only the two force members apply the moments to the body

d) Both the three and two force members apply the moments to the body

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4. The three member forces are greatly influencing the moment than the two force members.

a) True

b) False

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5. The three member forces apply three different moments and the two members apply two different moments on the body.

a) True

b) False

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6. For two force members to be in equilibrium when _____________

a) They both must not be collinear

b) They must be of different magnitude

c) They must be in the same direction

d) They must be in the opposite direction cancelling each other

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7. Determine the force in the section RS.

a) 11.3N

b) 3kN

c) 2kN

d) 1kN

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8. Moment equilibrium for the three force members will only be satisfied if_____________

a) Three forces are in different dimensions

b) The forces are in the same direction

c) The forces are concurrent

d) The forces are perpendicular

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9. Which of the following statement for the three force system is true?

a) The moment need not to be seen for the equilibrium, they are always in equilibrium

b) The forces are not always in the equilibrium

c) The forces are always in equilibrium

d) The moments are always in equilibrium

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10. Determine the horizontal components of the reaction on the beam at pin Q.

a) 8kN

b) 3kN

c) 2kN

d) 1kN

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11. 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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12. All the forces need to be collinear in the three force system. Then only they will for the equilibrium state.

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. 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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14. What is k.i?

a) 0

b) 1

c) -1

d) ∞

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15. 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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## Set 4

1. A ____________ is a simple machine that is used as to transfer applied forces into much larger forces.

a) Wedge

b) Beam

c) Pillar

d) Bridges

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2. Wedges are used to transfer heavy loads.

a) True

b) False

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3. The blocks of heavy weights are being able to lift from the help of the wedges.

a) True

b) False

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4. 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

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

a) ∑Fx=0

b) ∑Fy=0

c) ∑Fz=0

d) ∑F≠0

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6. The coefficient of friction between the body being slided over the wedge and the wedge surface is generally determined by ____________

a) Written over the Body

b) Experiments

c) Weighing the body

d) Measuring length of the body

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7. When does the two wedge system is termed as self-locking system?

a) If friction forces hold the block in plane

b) If friction forces doesn’t hold the block in plane

c) If friction forces hold the block in phase

d) If friction forces doesn’t hold the block in phase

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8. Determine the normal force at B in the wedge shown. Take the value of coefficient of friction to be 0.3. Assume that the block doesn’t slip at C.

a) 2452 N

b) 215 KN

c) 3150 N

d) 415 KN

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9. In the free body diagrams involving the wedges we have use of vector math, so 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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10. What is j.j?

a) 0

b) 1

c) -1

d) ∞

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11. 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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12. Sometimes in the calculations involving the wedges, there are situations when there is a toppling effect on the body. In that if 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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13. The angle of the inclination of wedge over which the block is sliding is determined by which of the following trigonometric function?

a) Tangent Inverse

b) Cosine

c) Sine

d) Secant

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14. In the simplification of the forces applied in the wedges 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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15. Determine the minimum amount of the force P required to remove the wedge shown. Take the value of coefficient of friction to be 0.3. Assume that the block doesn’t slip at C.

a) 1.15 KN

b) 2.15 KN

c) 3.15 KN

d) 4.15 KN

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## Set 5

1. The principle of work was proposed by________________

a) Mathematician Jean Bernoulli

b) Physios Jean Bernoulli

c) Chemist Jean Bernoulli

d) John Jean Bernoulli

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

a) 80cos30

b) 60cos30

c) 40cos30

d) 8cos30

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3. Which of the following is correct?

a) Work done is of one type only

b) Work done is of two type only

c) Work done is of three type only

d) Work done is of infinite type

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4. We first make equilibrium equations of the body by considering all the three dimensional forces 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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5. If solving the question in 3D calculations is difficult, then use the 2D system and then equate the total net force to zero, thus the method for solving the work done.

a) True

b) False

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6. If the body is in equilibrium, but it having a rotational curled ray shown in the free body diagram then:

a) The diagram is wrong

b) Such rotations can’t be shown in the fbds(free body diagrams)

c) The ray shown may be correct, but the body is not said to be in equilibrium

d) The body is said to be in equilibrium only, as the other forces will cancel out that rotation and the net work done will be zero

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7. If the resolved force or the force which you get as the answer after solving the question is negative, then what does this implies?

a) The force is in the reverse direction w.r.t the direction set in the free body diagram

b) The force is not in the reverse direction w.r.t the direction set in the free body diagram

c) The force component is not possible

d) The force is possible, but in the direction perpendicular to the resultant force

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

a) 236N

b) 600n

c) 403N

d) 830N

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

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 work done by 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. ∑Fx=0, ∑Fy=0 and ∑Fz=0 are vector equations for the three dimensions. They are satisfied when the body is achieved it state of equilibrium, and then the work done is calculated.

a) True

b) False

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12. Which of the following needs to zero for the perfect equilibrium for the calculation of the work?

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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13. What is Newton’s second law for work?

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

b) The rate of change of distance is equal to the force applied

c) The rate of change of momentum is equal to the moment applied

d) The rate of change of momentum is equal to the work applied

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14. The supports in the 3D are having more than three reaction forces. Because they are having three axis on which the components of the work done need to be 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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15. 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 and the net work done is also zero

b) The net force acting on the body is horizontal

c) The net force acting on the body is vertical but net work done is non-zero

d) The net force acting on the body is at an angle of 45