MCQOPTIONS
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MCQOPTIONS
This section includes 56 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. |
What will be the difference between MOI of two triangle sections is in 1st, MOI is taken about its base and in 2nd MOI is taken about its centroid? |
| A. | bh³/12 |
| B. | bh³/18 |
| C. | bh³/36 |
| D. | bh³/24 |
| Answer» C. bh³/36 | |
| 2. |
What will be the moment of inertia of a circle in cm⁴ of diameter is 10cm? |
| A. | 340 |
| B. | 410 |
| C. | 460 |
| D. | 490 |
| Answer» E. | |
| 3. |
What is the product of the mass and the square of the distance of the center of gravity of the mass from an axis? |
| A. | Moment of inertia |
| B. | Mass moment of inertia |
| C. | Center of gravity |
| D. | Product of inertia |
| Answer» C. Center of gravity | |
| 4. |
What will be the the radius of gyration of a circular plate of diameter 10cm? |
| A. | 1.5cm |
| B. | 2.0cm |
| C. | 2.5cm |
| D. | 3cm |
| Answer» D. 3cm | |
| 5. |
What is the moment of inertia of a rectangular section about an horizontal axis passing through base? |
| A. | bd³/12 |
| B. | bd³/6 |
| C. | bd³/3 |
| D. | bd²/3 |
| Answer» D. bd²/3 | |
| 6. |
What is the moment of inertia of a rectangular section about an horizontal axis through C.G? |
| A. | bd³/6 |
| B. | bd²/12 |
| C. | b²d²/12 |
| D. | bd³/12 |
| Answer» E. | |
| 7. |
What is the formula of theorem of perpendicular axis? |
| A. | Izz = Ixx – Iyy |
| B. | Izz = Ixx + Ah² |
| C. | Izz – Ixx = Iyy |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 8. |
What is the formula of theorem of parallel axis? |
| A. | IAD = IG + Ah |
| B. | IAB = Ah² + IG |
| C. | IAB = IG – Ah² |
| D. | IAB = IG + Ixx |
| Answer» C. IAB = IG – Ah² | |
| 9. |
Point, where the total volume of the body is assumed to be concentrated is ____________ |
| A. | Center of area |
| B. | Centroid of volume |
| C. | Centroid of mass |
| D. | All of the mentioned |
| Answer» C. Centroid of mass | |
| 10. |
What is MOI? |
| A. | ml² |
| B. | mal |
| C. | ar² |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 11. |
A rectangle has dimension of 10cm x 20cm. where will be its center of gravity? |
| A. | (10,10) |
| B. | (20,5) |
| C. | (10,5) |
| D. | (5,10) |
| Answer» D. (5,10) | |
| 12. |
Where will be the center of gravity of an I section will be if the dimension of upper web is 2x8cm, lower web is 2×16 and that of flange is 2x12cm If the y-axis will pass through the center of the section? |
| A. | 7.611cm |
| B. | 7.44cm |
| C. | 6.53cm |
| D. | 6.44cm |
| Answer» E. | |
| 13. |
The axis about which moment of area is taken is known as ____________ |
| A. | Axis of area |
| B. | Axis of moment |
| C. | Axis of reference |
| D. | Axis of rotation |
| Answer» D. Axis of rotation | |
| 14. |
Where will be the center of gravity of an I section will be if the dimension of web is 2x20cm and that of flange is 2x15cm If the y-axis will pass through the center of the section? |
| A. | 8.5cm |
| B. | 9.5cm |
| C. | 10.5cm |
| D. | 11.5cm |
| Answer» C. 10.5cm | |
| 15. |
What will be the moment of inertia of the given rectangular section about an horizontal axis through C.G.? |
| A. | 350 mm⁴ |
| B. | 379mm⁴ |
| C. | 416mm⁴ |
| D. | 500mm⁴ |
| Answer» D. 500mm⁴ | |
| 16. |
What will be the moment of inertia of the given triangle about an axis passing through C.G and parallel to base? |
| A. | 6.1 mm⁴ |
| B. | 7.1 mm⁴ |
| C. | 8.1 mm⁴ |
| D. | 7.56 mm⁴ |
| Answer» C. 8.1 mm⁴ | |
| 17. |
What will be the moment of inertia of the given triangle about the base? |
| A. | 20.33 mm⁴ |
| B. | 21.33 mm⁴ |
| C. | 24.33 mm⁴ |
| D. | 22.33 mm⁴ |
| Answer» C. 24.33 mm⁴ | |
| 18. |
What is the unit of radius of gyration? |
| A. | m⁴ |
| B. | m |
| C. | N |
| D. | m² |
| Answer» C. N | |
| 19. |
What is the product of inertia of the given following section? |
| A. | 50mm⁴ |
| B. | 625mm⁴ |
| C. | 125mm⁴ |
| D. | 250mm⁴ |
| Answer» C. 125mm⁴ | |
| 20. |
What is the moment of inertia of a circular section? |
| A. | πD⁴/64 |
| B. | πD³/32 |
| C. | πD³/64 |
| D. | πD⁴/32 |
| Answer» B. πD³/32 | |
| 21. |
Where will be the center of gravity of an T section will be if the dimension of web is 2x20cm and that of flange is 2x15cm If the y-axis will pass through the center of the section? |
| A. | 10.5cm |
| B. | 11.45cm |
| C. | 12.35cm |
| D. | 12.85cm |
| Answer» C. 12.35cm | |
| 22. |
What is the moment of inertia of a triangular section about an axis passing through C.G. and parallel to the base? |
| A. | bh³/12 |
| B. | bh³/24 |
| C. | bh³/36 |
| D. | bh³/6 |
| Answer» D. bh³/6 | |
| 23. |
What is the moment of inertia of a triangular section about the base? |
| A. | bh²/12 |
| B. | bh³/12 |
| C. | bh³/6 |
| D. | bh²/6 |
| Answer» C. bh³/6 | |
| 24. |
The point through which the whole weight of the body acts is called _____________ |
| A. | Inertial point |
| B. | Center of gravity |
| C. | Centroid |
| D. | Central point |
| Answer» C. Centroid | |
| 25. |
What is the mass MOI of a rectangular plate about y-axis passing through the C.G of the plate if the y-axis is parallel to d and perpendicular to b? |
| A. | Mb²/12 |
| B. | Md²/12 |
| C. | Md²/6 |
| D. | Mb²/6 |
| Answer» B. Md²/12 | |
| 26. |
What is the formula of radius of gyration? |
| A. | k² = I/A |
| B. | k² = I²/A |
| C. | k² = I²/A² |
| D. | k² = (I/A)^1/2 |
| Answer» B. k² = I²/A | |
| 27. |
The product of inertia at the principal axes is _____________ |
| A. | Minimum |
| B. | Unit |
| C. | Zero |
| D. | Maximum |
| Answer» D. Maximum | |
| 28. |
What is the unit of product of inertia? |
| A. | mm⁴ |
| B. | mm² |
| C. | mm |
| D. | mm³ |
| Answer» B. mm² | |
| 29. |
What is the product of inertia of a circle of diameter 10mm? |
| A. | 1862mm⁴ |
| B. | 1945mm⁴ |
| C. | 1963mm⁴ |
| D. | 2014mm⁴ |
| Answer» D. 2014mm⁴ | |
| 30. |
The center of gravity of a circle of radius 10 cm will be _____________ |
| A. | At its center of the diameter |
| B. | At the center of the radius |
| C. | Anywhere on the circumference |
| D. | Anywhere in its area |
| Answer» B. At the center of the radius | |
| 31. |
Where will be the center of gravity of an I section will be if the dimension of upper web is 2x10cm, lower web is 2×20 and that of flange is 2x15cm If the y-axis will pass through the center of the section? |
| A. | 7.611cm |
| B. | 9.51cm |
| C. | 9.31cm |
| D. | 11.5cm |
| Answer» C. 9.31cm | |
| 32. |
The point at which the total area of a plane figure is asssumed to be concentrated is called ____________ |
| A. | Centroid |
| B. | Centre of gravity |
| C. | Central point |
| D. | Inertial point |
| Answer» B. Centre of gravity | |
| 33. |
Where will be the centre of gravity of a uniform rod lies? |
| A. | At its end |
| B. | At its middle point |
| C. | At its centre of its cross sectional area |
| D. | Depends upon its material |
| Answer» C. At its centre of its cross sectional area | |
| 34. |
What will be the moment of inertia of the given rectangle about an horizontal axis passing through the base? |
| A. | 1500 mm⁴ |
| B. | 1650 mm⁴ |
| C. | 1666 mm⁴ |
| D. | 1782 mm⁴ |
| Answer» D. 1782 mm⁴ | |
| 35. |
Where the center of gravity of a circle lies? |
| A. | At its centre |
| B. | Anywhere on its radius |
| C. | Anywhere on its circumference |
| D. | Anywhere on its diameter |
| Answer» B. Anywhere on its radius | |
| 36. |
Where will be the center of gravity of the L-section shown in figure? |
| A. | (4.33, 2.33) |
| B. | (4, 6) |
| C. | (2.33, 4.33) |
| D. | (1, 5) |
| Answer» D. (1, 5) | |
| 37. |
Where will be the center of gravity of the shown figure? |
| A. | (4.66,6.332) |
| B. | (4.34,3.24) |
| C. | (4.25,6.45) |
| D. | (4.87,6.41) |
| Answer» B. (4.34,3.24) | |
| 38. |
What is the unit of mass moment of inertia? |
| A. | m⁴ |
| B. | m⁶ |
| C. | N |
| D. | m² |
| Answer» C. N | |
| 39. |
What is mass moment of inertia of circular plate? |
| A. | Md²/3 |
| B. | Md²/12 |
| C. | Mr²/4 |
| D. | Mr²/3 |
| Answer» D. Mr²/3 | |
| 40. |
What is the mass MOI of a rectangular plate about x-axis passing through the C.G of the plate if the y-axis is parallel to d and perpendicular to b? |
| A. | Mb²/12 |
| B. | Md²/12 |
| C. | Md²/6 |
| D. | Mb²/6 |
| Answer» C. Md²/6 | |
| 41. |
What is the mass MOI of right circular cone of radius R and height H about its axis? |
| A. | 4MR²/10 |
| B. | MR²/10 |
| C. | 3MR²/10 |
| D. | MR²/12 |
| Answer» D. MR²/12 | |
| 42. |
What is the mass MOI of a hollow circular cylinder if R is the outer diameter and r is the inner diameter? |
| A. | M(R + r)/4 |
| B. | M(R – r )/4 |
| C. | M(R+ r)/2 |
| D. | M(R – r)/2 |
| Answer» B. M(R – r )/4 | |
| 43. |
Where will be the center of gravity of the following section will lie In coordinates? |
| A. | (6,3) |
| B. | (6,6) |
| C. | (6,1.5) |
| D. | (1.5,3) |
| Answer» D. (1.5,3) | |
| 44. |
Where will be the center of gravity of the figure shown ? |
| A. | (3.45,4.52) |
| B. | (3.59,7.42) |
| C. | (3.66,8.84) |
| D. | (3.88,8.88) |
| Answer» C. (3.66,8.84) | |
| 45. |
Where will be the center of gravity of the L-section shown in the figure? |
| A. | (1.28,2.64) |
| B. | (1.45,3.24) |
| C. | (1.64,3.28) |
| D. | (2.24,3.68) |
| Answer» B. (1.45,3.24) | |
| 46. |
Where will be the centre of gravity of the T section shown in the figure? |
| A. | At 8.545cm |
| B. | At 6.5cm |
| C. | At 5cm |
| D. | At 9.25cm |
| Answer» B. At 6.5cm | |
| 47. |
The center of gravity of the rod shown in figure will be _____________ |
| A. | 5cm |
| B. | 10cm |
| C. | 15cm |
| D. | 20cm |
| Answer» C. 15cm | |
| 48. |
Locate the centroid of the exparabolic segment of area. |
| A. | = -4a/5, = -b/4 |
| B. | = -3a/4, = -3b/10 |
| C. | = -2a/3, = -b/3 |
| D. | = -5a/7, = -3b/8 |
| Answer» C. = -2a/3, = -b/3 | |
| 49. |
Locate the center of gravity of the homogeneous "bell-shaped" volume formed by revolving the shaded area about the y axis. |
| A. | = 3.33 ft |
| B. | = 2.80 ft |
| C. | = 3.20 ft |
| D. | = 3.00 ft |
| Answer» B. = 2.80 ft | |
| 50. |
Locate the center of gravity of the volume generated by revolving the shaded area about the z axis. The material is homogeneous. |
| A. | = 2.80 ft |
| B. | = 2.50 ft |
| C. | = 2.67 ft |
| D. | = 3.00 ft |
| Answer» D. = 3.00 ft | |