# Multiple choice question for engineering

## Set 1

1. Express the vector in the Cartesian Form, if the angle made by it with y and z axis is 60˚ and 45˚ respectively. Also it make an angle of α with x-axis. The magnitude of the force is 200N.

a) 100i + 100j + 141.4k N

b) 100i – 100j + 141.4k N

c) 100i + 100j – 141.4k N

d) 100i – 100j – 141.4k N

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2. In the figure given below, with F1 = 60j + 80k and F2= 50i -100j + 100k, what is the value of β? (β is the angle made by the resultant vector with the y-axis )

a) 76˚

b) 102˚

c) 19˚

d) 130˚

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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. What is the magnitude of the vector, 12i – 8j – 24k?

a) 18

b) 28

c) 38

d) 48

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5. The coordinate of the Force vector AB is A (2, 0, 2) and B (-2, 3.46, 3). What are its directions?

a) -0.742i + 0.643j + 0.186k

b) 0.742i – 0.643j – 0.186k

c) -0.742i – 0.643j + 0.186k

d) -0.742i + 0.643j – 0.186k

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6. The coordinate of the Force vector AB is A (2, 0, 2) and B (-2, 3.46, 3). It has a magnitude of 750N. Which is the best Cartesian representation of the vector AB?

a) -557i + 482j + 139k N

b) -557i – 482j + 139k N

c) -557i + 482j – 139k N

d) 557i – 482j – 139k N

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7. A force vector is along 4i – 4k direction and has a magnitude 100N and another force vector is along 4i +2j -4k and has a magnitude of 120N. What is the resultant of both forces?

a) 80i + 40j – 80k N

b) 80i – 40j – 80k N

c) 151i + 40j – 80k N

d) 151i+ 40j – 151k N

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8. The value cos-1(-3/7) + cos-1(2/7) + cos-1(6/7) is ____________

a) 215.4˚

b) 273.4˚

c) 188.4˚

d) 219.4˚

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9. Two vectors emerging from a point are always in a single plane.

a) True

b) False

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10. Three vectors emerging from a point are always in a single plane.

a) True

b) False

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11. What is the magnitude of unit vector?

a) √3

b) √2

c) 1

d) 0

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12. What is the difference between position vector and unit vector?

a) Position vector has magnitude = 1 and direction, while unit vector has magnitude = 0 and no direction

b) Position vector has magnitude = 0 and direction, while unit vector has magnitude = 0 and no direction

c) Position vector has some magnitude and direction, while unit vector has magnitude = 0 and no direction

d) Position vector has some magnitude and direction, while unit vector has magnitude = 1 and a specified direction

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13. What if we multiply a scalar to the unit vector?

a) The direction will change accordingly

b) The magnitude will change accordingly

c) The magnitude will not change accordingly

d) The direction will change by a factor of square root of the scalar

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14. Which is true for the vector provided only position coordinates given?

a) (Final position coordinates + initial positions coordinates) gives the vector form of the vector

b) (Final position coordinates – initial positions coordinates) gives the vector form of the vector

c) (Initial positions coordinates – Final position coordinates) gives the vector form of the vector

d) (Initial positions coordinates + Final position coordinates) gives the vector form of the vector

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15. A vector can always have_____________

a) Only one component along any of the axis

b) Only two components along any of the axis

c) Only three components along any of the axis

d) A unit vector along the direction perpendicular to its direction

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## Set 2

1. ____________ is the phenomena that resist the movement of the two surfaces in contact, in some of the cases it could be the belts and the rolling cylinders.

a) Friction

b) Motion

c) Circular movement

d) Rotation

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2. The frictional force in the belts always acts ____________ to the surface of the application of the friction.

a) Tangential

b) Perpendicular

c) Parallel

d) Normal

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3. 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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4. What is B in the equation T_{2} = T_{1}e^{µB} ?

a) Angle of the belt to surface contact in radians

b) Angle of the belt to surface contact in degrees

c) Angle of the belt in radians

d) Angle of the belt in degrees

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_{2}= T

_{1}e

^{µB}equation is used. In this the R.H.S tension is the maximum tension of the two tensions. While the other one is the smaller one. And the µ is coefficient of friction between the belt and the surface. And the B is the angle of belt to the surface in radians.

5. Dry friction in the belt is also called ___________

a) Column Friction

b) Coulomb Friction

c) Dry column friction

d) Surface friction

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6. For making the equilibrium equations for the belt the normal forces that are being acted over them are in which direction in the free body diagrams?

a) Vertically Upward

b) Vertically Downward

c) Horizontally Right

d) Horizontally Left

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7. Which one is not the condition for the equilibrium in free body diagram for the belts as considered 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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8. We first make equilibrium equations of the belts 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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9. We show the net forces acting on the belts by the help of __________ forces.

a) Rotational

b) Linear

c) Helical

d) Resultants

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10. There are main two types of forces which are being stated in the free body diagram of the belts, they are generally the resultant forces which are being acted over the body over which the belt is rolling. Which are they?

a) Normal and Frictional

b) Normal and Vertical

c) Vertical and Frictional

d) Normal and Fractional

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11. Determine the magnitude of the projection of the vector force F = 100N acting over a particular point on the belt, onto the v axis, from the figure given below.

a) 96.6N

b) 60N

c) 100N

d) 70.7N

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12. The solving for the unknown forces in the belts requires vector math. So if a vector is multiplied by a scalar in the belt system of forces then_________

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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13. All the vector quantities in the solving of the unknown in the belt force system 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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14. For solving of the unknown tension in the belts, which of the following equation is used?

a) T2 = T1eµB

b) T1 = T2eµB

c) T2 = T1eB

d) T2 = T1eµ

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15. 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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## Set 3

1. The journal bearings are generally used in __________

a) Belts

b) Columns

c) Beams

d) Supports

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2. A phenomena is there in these collar bearings and pivots, which is very helpful in the supporting of the machines, and that is _____________

a) Column Friction

b) Coulomb Friction

c) Dry column friction

d) Surface friction

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3. 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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4. At what conditions does the Coulomb friction occurs between the surfaces in contact of journal bearing?

a) When there is no lubricating fluid

b) When there is no friction fluid

c) When there is no adhesive fluid

d) When there is no cohesive fluid

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5. We first make equilibrium equations of the sections involving the journal bearings 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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6. To know the rotations involved in the journal bearings we use right handed coordinate system, in that system which of the following is followed (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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7. The moment is the cross product of which two vectors in the calculations of the journal bearings?

a) Force and Radius vectors

b) Radius and Force vectors

c) Force and Radius scalars

d) Radius and Force scalars

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8. Determine the moment about the point P.

a) 460Nm

b) 500Nm

c) 705Nm

d) 0Nm

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9. The basic type of motion of a body is not the translation motion only.

a) True

b) False

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10. Sometime the principle of transmissibility is somehow applied to journal bearings. It states that:

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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11. Coplanar forces are not easily simplified in the simplification of the force and couple system in the calculations of forces in the journal bearings.

a) True

b) False

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12. There are some of the applications of the two force and three force members in the journal bearings. 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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13. Which of the following is true for the determination of the rotational effect of the bearings?

a) If we are considering the clockwise direction to be positive then the rotation along the counter clockwise direction is negative

b) If we are considering the clockwise direction to be negative then the rotation along the counter clockwise direction is also negative as no such assumptions can be taken

c) If we are considering the clockwise direction to be positive then the rotation along the counter clockwise direction is also positive as no such assumptions can be taken

d) If we are considering the clockwise direction to be negative then the rotation along the counter clockwise direction is neither positive nor negative as we only pre assumed the clockwise direction

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14. The doors are having hinges to support them. This hinge is too a type of bearing or is a

Device which is using effect like bearing to support. So, if you are opening the door, then the force you apply is greater if you open it from the part closer to the hinges.

a) True

b) False

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15. Which of the following is true for the bearing’s body?

a) Total moment of various forces acting on the body is the vector sum of all moments in 3D

b) Total moment of various forces acting on the body is the algebraic sum of all moments in 3D

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

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

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## Set 4

1. In general cases the screws are used as __________

a) Fasteners

b) Main components

c) Simpler

d) Upstreamers

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2. Which type of the screws are used in the machines?

a) Square-threaded

b) Round-threaded

c) Helical-threaded

d) Rectangle-threaded

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3. Why are square threaded screws are used in the machines?

a) Large forces act along the axis of the screws

b) Small forces act along the axis of the screws

c) Large forces act perpendicular the axis of the screws

d) Small forces act perpendicular the axis of the screws

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4. The angle of the threading in the screw is determined by which of the following trigonometric function?

a) Tangent Inverse

b) Sine

c) Cosine

d) Secant

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5. In the determination of the angle of the screw, the ratio kept in the inverse tangent function is the ratio of ________

a) Vertical and Horizontal distance of the screw

b) Horizontal and Vertical distance of the screw

c) Vertical and Linear distance of the screw

d) Linear and Horizontal distance of the screw

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6. The horizontal distance used in the inverse trigonometry function is called as _____________

a) Lead

b) Un-lead

c) Major

d) Cut-off

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7. In screws there is application of two and three force members. The basic difference between the two and the three force members used 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. Determine the moment of the force along point P (There is screw present at P, about which the rotation is there).

a) 110Nm

b) 112.5Nm

c) 60Nm

d) 0Nm

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9. When we apply the equilibrium equations in the free body diagram of the screw, for two force members to be in equilibrium then _________

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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10. Which of the following statement for the three force system applied in the screws 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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11. Which of the following is correct for a screw being rotated?

a) The couple moment depends on the axis of rotation

b) The couple moment depends directly on the radius vector of forces

c) The couple moment depends only on the distance vector between the forces

d) The couple moment’s direction is given by the left hand rule

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12. If the forces acting on the couple acting on the screw are in the same direction, that is they are not in the opposite direction as always they are, then?

a) The direction of the forces doesn’t determine the moment

b) The couple moment will be maximum

c) The couple is not possible

d) No change occurs

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13. For equilibrium the net force acting on the screw is zero.

a) True

b) False

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14. In the screw collinear forces act, what is a collinear system of forces?

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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15. Determine the smallest force applied at R which creates the same moment about P as by 75N. (There is presence of screw at P, about which the rotation is being there)

a) 37.5N

b) 112.5N

c) 60N

d) 0N

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## Set 5

1. The determination of the internal loading is usually done so as to _________________

a) Break the beam

b) Know the length

c) Know the diameter

d) Design the beam

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2. The internal loading can be found by _________________

a) Method of sections

b) Method of area

c) Method of line

d) Method of volume

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3. In method of sections we probably use the joints and take out the forces in the beams.

a) True

b) False

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4. The ____________ forces are used for the making of the free body diagram of the beams so as to apply the method of sections.

a) Internal rotational

b) Couple rotational

c) Translational

d) External

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5. Rotational moments are not counted in the free body diagrams and the evaluation of the internal forces by the method of sections.

a) True

b) False

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6. The force acting perpendicular to the beam is called _______________ force.

a) Perpendicular

b) Orthogonal

c) Normal

d) Distortion

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7. The force acting parallel/tangential to the beam is called _______________ force.

a) Perpendicular

b) Orthogonal

c) Shear

d) Distortion

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8. The couple moment produced in the beams are called as ____________________

a) Moment of distance

b) Moment of line

c) Moment of bending

d) Bending moment

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9. The force components prevents the beam from which of the following process?

a) Relative translation

b) Relative rotation

c) Relative transformation

d) Relative collapse

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10. The couple moment prevents the beam from which of the following process?

a) Relative translation

b) Relative rotation

c) Relative transformation

d) Relative collapse

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11. According to the _________ law of Newton the loadings at the sections must act opposite to the forces applied.

a) First

b) Second

c) Third

d) Fourth

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12. For the determination of the forces at the supports which part is to be considered in the calculations?

a) The one having one unknown and two known forces

b) The one having two unknown and two known forces

c) The one having three unknown and two known forces

d) The one having two unknown and one known forces

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13. What is not the condition for the equilibrium in the beams if considered a section on which the method of sections is applied?

a) ∑Fx=0

b) ∑Fy=0

c) ∑Fz=0

d) ∑F≠0

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14. Determine the moment at the point R of the beam shown.

a) 225Nm

b) 25Nm

c) 22Nm

d) 23Nm

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15. Determine the normal force generated.

a) 0N

b) 25N

c) 22N

d) 23N