Explore topic-wise MCQs in Engineering Mechanics.

This section includes 13 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Mechanics knowledge and support exam preparation. Choose a topic below to get started.

1.

WE_CAN_ADD_THE_FORCE_VECTORS_DIRECTLY._BUT_WITH_DIVIDING_EACH_BY_IT‚ÄÖ√Ñ√∂‚ÀÖ√Ë‚ÀÖ¬•S_MAGNITUDE_FIRST.?$#

A. True
B. False
Answer» C.
2.

Which statement is correct about the vector F?$

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
Answer» B. F= Fsin ‚âà√≠‚Äö√¢¬ß + Fcos ‚âà√≠¬¨¬± + Fcos‚âà√≠‚Äö√¢‚Ä¢
3.

For_a_vector_F,_Fcosβ_is_equal_to_zero._What_does_this_refer?$#

A. X-axis component is zero
B. Y-axis component is zero
C. Z-axis component is zero
D. β = 180˚
Answer» C. Z-axis component is zero
4.

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 x-axis. The magnitude of the force is 200N.$

A. 60Àö
B. 120Àö
C. 45Àö
D. 90Àö
Answer» B. 120‚àö√Ñ‚àö‚àÇ
5.

Which_is_true?

A. ‚àëF = ‚àëFx + ‚àëFy + ‚àëFz
B. ‚àëF = -(‚àëFx + ‚àëFy + ‚àëFz)
C. ‚àëF = ‚àëFxi + ‚àëFyj + ‚àëFzk
D. ‚àëF = -(‚àëFxi+ ‚àëFyj + ‚àëFzk)
Answer» D. ‚Äö√Ñ√∂‚àö‚Ć‚àö¬¥F = -(‚Äö√Ñ√∂‚àö‚Ć‚àö¬¥Fxi+ ‚Äö√Ñ√∂‚àö‚Ć‚àö¬¥Fyj + ‚Äö√Ñ√∂‚àö‚Ć‚àö¬¥Fzk)
6.

What is the x-axis component of the force vector Ai + Bj +Ck with magnitude equal to F?

A. B
B. C
C. Fcosα
D. Fcosβ
Answer» D. Fcos‚âà√≠‚Äö√¢¬ß
7.

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

A. 1
B. ¬Ω
C. 2
D. 3
Answer» B. ¬¨¬®≈í¬©
8.

What is cosα for force vector F = Ax + By +Cz (Given α, β and γ are the angles made by the vector with x, y and z axis respectively)?$

A. B/F
B. C/F
C. A/F
D. 1
Answer» D. 1
9.

What is the magnitude of the Cartesian vector having the x, y and z axis components to be A, B and C?

A. Square root of the squares each A, B and C
B. Square of the squares each A, B and C
C. Cube root of the squares each A, B and C
D. Cube of the squares each A, B and C
Answer» B. Square of the squares each A, B and C
10.

Which statement is right for 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
Answer» D. In rectangular components representation of any vector we have vector F = Fi + Fj + Fk
11.

If the force vector F is having its x-axis component being equal to Z N, y-axis component be X N and z-axis component be Y N then vector F is best represented by?

A. Xi + Yj + Zk
B. Yi + Xj + Zk
C. Zi + Yj + Xk
D. Zi + Xj + Yk
Answer» E.
12.

If A is any vector with Ai + Bj + Ck then what is the y-axis component of the vector?

A. B units
B. A units
C. C units
D. Square root of a sum of squares of the three, i.e. A, B and C
Answer» B. A units
13.

In right handed coordinate system which axis is considered to be positive?

A. The thumb is z-axis, fingers curled from x-axis to y-axis
B. The thumb is x-axis, fingers curled from z-axis to y-axis
C. The thumb is y-axis, fingers curled from x-axis to z-axis
D. The thumb is z-axis, fingers curled from y-axis to x-axis
Answer» B. The thumb is x-axis, fingers curled from z-axis to y-axis