MCQOPTIONS
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MCQOPTIONS
This section includes 14 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. |
Express F = 100 N (shown in the figure below) as a Cartesian vector. |
| A. | 35.4i – 35.4j + 86.6k |
| B. | 35.4i – 35.4j – 86.6k |
| C. | 35.4i – 35.4j – 86.6k |
| D. | 35.4i + 35.4j + 86.6kView Answer |
| Answer» B. 35.4i – 35.4j – 86.6k | |
| 2. |
What is the magnitude of the resultant force when F1 = 60j + 80k and F2 = 50i – 100j + 100k? |
| A. | 188 unit |
| B. | 191 unit |
| C. | 181 unit |
| D. | 120 unitView Answer |
| Answer» C. 181 unit | |
| 3. |
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. | 60˚ |
| B. | 120˚ |
| C. | 45˚ |
| D. | 90˚ |
| Answer» B. 120˚ | |
| 4. |
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 β + Fcos α + Fcosγ | |
| 5. |
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 | |
| 6. |
We can add the force vectors directly. But with dividing each by it’s magnitude first. |
| A. | True |
| B. | False |
| Answer» C. | |
| 7. |
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. Fcosβ | |
| 8. |
What is the sum of squares of the cosine angles made by the force vector with the coordinate axis? |
| A. | 1 |
| B. | ½ |
| C. | 2 |
| D. | 3 |
| Answer» B. ½ | |
| 9. |
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 | |
| 10. |
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 | |
| 11. |
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 | |
| 12. |
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. | |
| 13. |
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 | |
| 14. |
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 | |