MCQOPTIONS
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MCQOPTIONS
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. |
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. | 70.7NView Answer |
| Answer» B. 60N | |
| 2. |
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. | 175NView Answer |
| Answer» B. 257.1N | |
| 3. |
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 |
| Answer» B. A1B1A2B2i + A2B2A3B3j + A3B3A1B1k | |
| 4. |
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) |
| Answer» D. -1(i + j + k) | |
| 5. |
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˚ |
| Answer» C. 90˚<α<180C | |
| 6. |
What is {(i.i) + (-i.j) + (-k.k) + (k.i)}.(Ai +Bj + Cz)? |
| A. | 1 |
| B. | 0 |
| C. | A + B + C |
| D. | -1 |
| Answer» C. A + B + C | |
| 7. |
What is k.i? |
| A. | 0 |
| B. | 1 |
| C. | -1 |
| D. | ∞ |
| Answer» B. 1 | |
| 8. |
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 |
| Answer» B. AxB = A1B1 + A2B2 + A3B3 | |
| 9. |
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 |
| Answer» C. A.(B+D) = (A.B) + (A.D) | |
| 10. |
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 |
| Answer» D. a(A.B) = AxB | |
| 11. |
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) |
| Answer» B. Multiplicative law: a(A.B) = Ax(aB) | |
| 12. |
For two vectors A and B, what is A.B (if they have angle α between them)?a) |A||B| cosαb) |A||B|c) √(|A||B |
| A. | |A||B| cosα |
| B. | |A||B| |
| C. | √(|A||B|) cosα |
| D. | |A||B| sinα |
| Answer» B. |A||B| | |
| 13. |
Determine the magnitude of the projection of the vector force F = 100N, onto u axis, from the figure given below. |
| A. | 96.6N |
| B. | 60N |
| C. | 100N |
| D. | 70.7N |
| Answer» E. | |