A system of four buckets forms a square as shown in the figure. Initially, the buckets have different masses (it is not known how these masses are related). A student begins to add water gradually to the bucket located at the origin. As a result, what happens to the coordinates of the center of mass of the system of buckets? (Figure 3). The x coordinate stays the same; the y coordinate increases. The x coordinate stays the same; the y coordinate decreases. The x coordinate increases; the y coordinate stays the same. The x coordinate decreases; the y coordinate stays the same. The x coordinate increases; the y coordinate increases. The x coordinate decreases; the y coordinate decreases. The x coordinate stays the same; the y coordinate stays the same. There is not enough information to answer the question. The third, fourth, seventh and eigth options are incorrect.
Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
A system of four buckets forms a square as shown in the figure. Initially, the buckets have different masses (it is not known how these masses are related). A student begins to add water gradually to the bucket located at the origin. As a result, what happens to the coordinates of the center of mass of the system of buckets?
(Figure 3).
| The x coordinate stays the same; the y coordinate increases. |
| The x coordinate stays the same; the y coordinate decreases. |
| The x coordinate increases; the y coordinate stays the same. |
| The x coordinate decreases; the y coordinate stays the same. |
| The x coordinate increases; the y coordinate increases. |
| The x coordinate decreases; the y coordinate decreases. |
| The x coordinate stays the same; the y coordinate stays the same. |
| There is not enough information to answer the question. |
The third, fourth, seventh and eigth options are incorrect.
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