## Engineering Mechanics MCQsOur top 50 Engineering Mechanics questions and answers focus on all the areas of this subject. It covers over more than 50 topics in Engineering Mechanics. Anyone who wishes to sharpen their knowledge, preparing for the interviews, or preparing for the entrance exam can practice these Engineering Mechanics Questions. 1) For two vectors defined by an arrow with a head and a tail. The length of each vector and the angle between them represents: - Their magnitude and direction of the line of action, respectively
- Their magnitude's square and direction of the line of action, respectively
- Magnitude's square and the ratio of their lengths, respectively
- Magnitude's square root and direction of the line of action, respectively
2) A force vector with magnitude R and making an angle α with the x-axis is having its component along the x-axis and y-axis as: - R
_{cosine}(180-α) and R_{sine}(α) - R
_{cosine}(α) and R_{sine}(α) - R
_{cosine}(α) and R_{sine}(180+α) - R
_{cosine}(180-α) and R_{sine}(180+α)
3) 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 vectors. - 4.35m
- 3.23m
- 1.5m
- 2.50m
4) If two equal vector forces are mutually perpendicular, then the resultant force is acting at which angle as compared to one of the vector? - 0 degree
- 45 degree
- 90 degree
- 180 degree
5) If A is any vector with Ai + Bj + Ck, then what is the y-axis component of the vector? - A units
- B units
- C units
- The square root of a sum of squares of the three, i.e., A, B, and C
6) Which statement is right for force vector F = Ai + Bj + Ck? - In rectangular components representation of any vector, we have vector F = Ax + By + Cz
- In rectangular components representation of any vector we have vector F = Ai + Bj + Ck
- In rectangular components representation of any vector we have vector F = Fi + Fj + Fk
- In rectangular components representation of any vector we have vector F = Fx + Fy + Fz
7) For a vector F, Fcosβ is equal to zero. What does this refer to? - Y-axis component is zero
- X-axis component is zero
- β = 180°
- Z-axis component is zero
8) 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 the x-axis. The magnitude of the force is 200N. - 120°
- 60°
- 90°
- 45°
9) 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 makes an angle of α with the x-axis. The magnitude of the force is 200N. - 100i - 100j + 141.4k N
- 100i + 100j + 141.4k N
- 100i - 100j - 141.4k N
- 100i + 100j - 141.4k N
10) What if we multiply a scalar to the unit vector? - The magnitude will change accordingly
- The direction will change accordingly
- The direction will change by a factor of the square root of the scalar
- The magnitude will not change accordingly
11) Which statement is right? - Multiplicative law: a(A.B) = Ax(aB)
- Communitive law: A.B =B.A
- Communitive law: a(A.B) = A.(aB)
- Multiplicative law: A.(B+D) = (A.B) + (A.D)
12) What is (AxB).(BxA); or A = A1i + A2j + A3k and B = B1i + B2j + B3k? - A1B1A2B2i + A2B2A3B3j + A3B3A1B1k
- A1B1A1B2i + A2B2A3B2j + A3B3A1B3k
- A1B1A2B1i + A2B2A2B3j + A3B3A2B1k
- 0
13) What is the dot product of two vectors which are having a magnitude equal to unity and are making an angle of 45°? - -0.707
- 0.707
- -1.414
- 1.414
14) What is the magnitude of the resultant vector's unit vector? (Resultant vector of the two vectors shown in the figure below) - 225N
- 1N
- 55N
- 110N
15) 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. The distance between the tri-section point and the points A, B, and C be equal to 0.6m. - 51.9mm
- 51.9cm
- 51.19mm
- 51.9m
16) If anybody is tied to three or more ropes and is allowed to achieve its equilibrium. Then the equilibrium achieved is achieved w.r.t what? - The ground
- The 3-axis of the body
- The weight direction
- The ropes direction
17) The tendency of rotation of the body along any axis is also called ______ - Moment of couple
- Moment of inertia
- Force
- Torque
18) The moment is the cross product of which two vectors? - Radius and Force vectors
- Force and Radius vectors
- Radius and Force scalars
- Force and Radius scalars
19) Which of the following is correct w.r.t the moment (M) of the force (F) acting on the body at a distance L from the axis of the rotation? - M=FLcosθ
- M=FLsinθ
- M=FxLsinθ
- M=F.Lsinθ
20) If a force is 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 a sliding vector. What is the name of this property? - Distributive property
- Associative property
- Principle transmissibility of the force
- Negative associative property
21) 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) - Ax(rxF)
- A.(rxF)
- Fx(r.F)
- A.(r.F)
22) Which of the following forces do not cause the rotation. Suppose the rotation is considered inside the body's axis or the centroid axis of the body. - Concurrent
- Non-concurrent
- Non-Parallel
- Parallel
23) Which of the following is correct for the moment of couple M caused by two forces of the same magnitude F and are separated by a distance of r? - M = r.F
- M = rxF
- M = -(r.F)
- M = -(rxF)
24) Determine the couple moment acting on the triangular plane shown. - 100Nm
- 1600Nm
- 600Nm
- 2600Nm
25) The principle of transmissibility is - It states that the force acting on the body is a rolling vector
- It states that the force acting on the body is a sliding vector
- It states that the force acting on the body is a unit vector
- It states that the force acting on the body is a unit vector
26) What is the main motto of simplification? - To add the forces with the couples and take out the total
- To reduce the calculation
- To multiply the forces with the couples and take out the total
- To subtract the forces with the couples and take out the total
27) Just like the collinear forces, there is a collinear couple, and the net moment is taken out from it. - The first part of the statement is false, and the other part is false too
- The first part of the statement is false, and the other part is true
- The first part of the statement is true, and the other part is true too
- The first part of the statement is true, and the other part is false
28) There are two types of loading. The uniformly distributed and the non-uniformly distributed, that is the one having two different values at corners. - The first part of the statement is false, and the other part is false too
- The first part of the statement is false, and the other part is true
- The first part of the statement is true, and the other part is true too
- The first part of the statement is true, and the other part is false
29) In the simplification of the loading system, the net force acts at the ___________ of the loading body. - The center axis
- Centroid
- The base
- The corner
30) In triangle distributed loading, the loading at any distance can be easily found by using which of the following trigonometry function? - Sine
- Tangent
- Sine inverse
- Cosine
31) The resultant force acting of the uniformly distributed loading is dependent on: - Vertical distance
- Area
- The distance of the supports between them
- Length of the supports
32) Determine the vertical components of the reaction on the beam caused by the pin at Q. The force 60N is multiplied by ten and then is applied. - 445N
- 319N
- 40N
- 45N
33) Which of the following statement for the three force system is true? - The forces are not always in the equilibrium
- The moment need not be seen for the equilibrium. It is always in equilibrium
- The moments are always in equilibrium
- The forces are always in equilibrium
34) A force is developed by the support that not allows the ________ of its attached member. - Rotation
- Translation
- Subtraction
- Addition
35) The single pin, single bearing, and single hinge resist _____ - Couple moments
- Force
- Inertia
- Both force and couple moments
36) If the supports are properly aligned, the reaction forces developed adequately support the body. - The statement is true only in 3D
- The statement is true only in 2D
- The statement is true only in 1D
- The statement is true throughout
37) What is redundant support? - The supports consisting of hinge only
- The supports consisting of a hinge and a roller
- The supports more than necessary to hold the structure
- The supports consisting of roller only
38) What is Statically indeterminacy? - There will be more equations available for equilibrium than the unknown loadings
- There will be fewer equations available for equilibrium than the unknown loadings
- The support reactions are opposite to each other
- There will be equal equations available for equilibrium as the unknown loadings
39) In 3D, the body will be improperly constrained if the reaction forces intersect the axis. - The statement is wrong
- The statement is right
- The statement is right if there is a 'support reaction.'
- The statement is right if there is '2D.'
40) The couple is a scalar quantity, and the force is a vector quantity; hence, only force can be simplified in free body diagrams. - The first part of the statement is false, and the other part is false too
- The first part of the statement is false, and the other part is true
- The first part of the statement is true, and the other part is true too
- The first part of the statement is true, and the other part is false
41) The couple and the other two force systems in free body diagrams can be easily simplified. - Statement is right
- Statement is wrong
- The statement is right if we remove the 'force' part
- The statement is right if we remove the 'couple' part
42) What is a collinear system of forces for free body diagrams? - The force system having all the forces perpendicular to each other
- The force system having all the forces parallel to each other
- Forces cannot form a collinear system of forces. It is not possible
- The force system having all the forces emerging from a single point
43) To design the trusses, which of the following rules is followed? - The loads are applied at the joints
- The use of cables applies all the loads
- The loads are not applied at all to the joints
- All the loads are not applied at the joints
44) What does Newton's third law state? - For every reaction, there is an equal and opposite reaction
- The rate of change of momentum is equal to the force applied
- The body is rest until a force is applied
- The body tends to be rotated if the force is applied tangentially
45) If the body is in equilibrium, but it is having a rotational curled ray shown in the free body diagram, then: - Such rotations can't be shown in the fbds(free-body diagrams)
- The diagram is wrong
- The body is said to be in equilibrium only, as the other forces will cancel out that rotation
- The ray shown may be correct, but the body is not said to be in equilibrium
46) If five forces are acting on the single-particle and having an angle of 72° between each and are collinear, then: - The net force acting on the body is horizontal
- The net force acting on the body is zero
- The net force acting on the body is at an angle of 45
- The net force acting on the body is vertical
47) The difference between the two and the three force members is: - The former is parallel, and the latter is perpendicular
- The former are collinear, and the latter is parallel
- The former is acting on two points in the body while the latter is on three points
- The former is perpendicular, and the latter is collinear
48) Which of the following statement for the three force system is true? - The forces are not always in the equilibrium
- The moment need not be seen for the equilibrium. It always in equilibrium
- The moments are always in equilibrium
- The forces are always in equilibrium
49) All the forces need to be collinear in the three-force system. Then only will they for the equilibrium state. - The first part of the statement is false, and the other part is false too
- The first part of the statement is false, and the other part is true
- The first part of the statement is true, and the other part is true too
- The first part of the statement is true, and the other part is false
50) A couple of moment is developed when _______ of the attached member is prevented. - Rotation
- Translation
- Subtraction
- Addition
Next TopicMechanical Engineering MCQ |