Centre of Gravity and Equilibrium of Rigid Bodies - One Line Questions

1. For a body resting on a base, it will be in stable equilibrium as long as its center of gravity remains: — Vertically above the area of support.
2. For a uniform, homogeneous body, where is the center of gravity located? — At the geometric center.
3. Which of the following is a method to determine the center of gravity of an irregular lamina? — Balancing it on a knife-edge.
4. The center of gravity of a uniform triangular lamina is at the: — Centroid.
5. Lowering the center of gravity of a body tends to: — Increase its stability.
6. The stability of a body is increased by: — Lowering its center of gravity and increasing its base of support.
7. The center of gravity of a hollow sphere is located at its: — Center.
8. If a body is in equilibrium, it means that: — It is either at rest or moving with constant velocity and constant angular velocity.
9. If a body is in rotational equilibrium, what can be said about its angular acceleration? — It is always zero.
10. A body is in static equilibrium. What does this imply? — It is at rest and will remain at rest.
11. What happens to the center of gravity of a body when it is deformed? — It shifts its position.
12. A body is in equilibrium if it is not accelerating linearly and not accelerating angularly. This means: — Its acceleration is zero, and its angular acceleration is zero.
13. A wider base of support generally leads to: — More stability.
14. To make a heavy object easier to lift, one should try to: — Lower its center of gravity.
15. The condition for a body to be in stable equilibrium is that its center of gravity must be at the: — Lowest possible position.
16. A body is in equilibrium. If an external force is applied, which condition might be violated? — Net force is zero.
17. When does the center of gravity of a non-uniform body lie outside the body itself? — For certain shapes and mass distributions.
18. Which of the following is a unit of moment of force (torque)? — Newton-meter (Nm)
19. Consider a uniform rod. Its center of gravity is located at its: — Midpoint.
20. When a force is applied to a rigid body, it can cause: — Translation, rotation, or both.
21. The center of gravity of a thin, uniform ring is at its: — Center.
22. Consider a car. To increase its stability, manufacturers typically: — Widen the wheelbase.
23. Which of the following actions would make a tall, narrow object more stable? — Lowering its center of gravity.
24. If the vertical line passing through the center of gravity falls outside the base of support, the body will: — Topple over.
25. A uniform plank is supported at its ends. If a person stands at the center, the plank is in equilibrium. If the person moves towards one end, the plank will: — Tilt down towards the end the person moved to.
26. When a body is in unstable equilibrium, any slight displacement causes its center of gravity to: — Fall.
27. An object is in neutral equilibrium if its center of gravity: — Remains at the same height when displaced.
28. If the net force on a body is zero, it is in: — Translational equilibrium.
29. What type of equilibrium is achieved when a body, slightly displaced, moves further away from its original position? — Unstable equilibrium
30. A ball placed on a flat horizontal surface is in what type of equilibrium? — Neutral equilibrium
31. A cone balanced on its vertex is in what type of equilibrium? — Unstable equilibrium
32. A ladder leaning against a wall is generally in a state of: — Stable equilibrium.
33. What is the condition for translational equilibrium? — Sum of all forces is zero.
34. What is the condition for rotational equilibrium? — Sum of all torques is zero.
35. Consider a lever. For it to be in rotational equilibrium, the product of force and its distance from the fulcrum (moment) must satisfy: — Sum of clockwise moments = Sum of anticlockwise moments.
36. The base of support is defined as the: — The area enclosed by the points of contact of the body with the surface.
37. The center of gravity of a rigid body is independent of: — The external forces acting on it.
38. For a system of particles, the center of gravity coincides with the center of mass if: — The gravitational field is uniform.
39. Which of the following conditions must be met for a rigid body to be in equilibrium? — The net force must be zero, and the net torque must be zero.
40. What is the definition of the center of gravity of a body? — The point where the entire weight of the body can be considered to act.
41. The principle of moments states that for a body in rotational equilibrium: — The sum of clockwise moments equals the sum of anticlockwise moments.
42. The center of gravity of a system of particles is the point where: — The sum of the weights is concentrated.
43. If the center of gravity of a body is above the base of support, it will be in equilibrium if: — The vertical line through the center of gravity falls inside the base.
44. The sum of moments about a point is zero for a body in: — Rotational equilibrium only.
45. What type of equilibrium is achieved when a body, slightly displaced, returns to its original position? — Stable equilibrium
46. A ball at the bottom of a hemispherical bowl is in what type of equilibrium? — Stable equilibrium
47. If a body is suspended from a point, its center of gravity will lie: — Vertically below the point of suspension.
48. If a body is in equilibrium, its total kinetic energy must be: — Constant and non-zero.
49. The condition for equilibrium requires that the vector sum of all forces acting on the body is: — Zero.
50. For a body to be in equilibrium, the net external torque about any point must be: — Zero.
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