Mechanics- connected particles

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Discussion Overview

The discussion revolves around a mechanics problem involving two connected buckets, one descending and the other ascending, due to the weight of bricks in the top bucket. Participants explore the dynamics of the system, including forces, acceleration, and the time it takes for the descending bucket to reach the ground. The scope includes conceptual understanding and mathematical reasoning related to forces and motion.

Discussion Character

  • Homework-related, Mathematical reasoning, Conceptual clarification

Main Points Raised

  • The initial conditions of the problem are described, including the masses of the buckets and the height from which one bucket descends.
  • Some participants suggest using a Free Body Diagram to analyze the forces acting on each bucket.
  • One participant identifies a mistake in their initial calculations and proposes a new approach to determine the acceleration of the buckets.
  • A participant calculates a time of 3 seconds for the descending bucket to reach the ground but questions the correctness of their method.

Areas of Agreement / Disagreement

The discussion remains unresolved, with participants exploring different approaches and calculations without reaching a consensus on the correct method or final answer.

Contextual Notes

Participants express uncertainty regarding the accuracy of their Free Body Diagrams and calculations, indicating potential limitations in their understanding of the forces involved.

Shah 72
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A bucket of mass 3kg rests on scaffolding at the top of a building. The scaffolding is 22.5m above the ground. The bucket is attached to a rope that passes over a smooth pulley. At the other end of the rope there is another bucket of mass 3kg, which initially rests on the ground. The bucket at the top of the building is filled with 6kg of bricks and is gently released. As this bucket descends the other bucket rises.
Find how long it will take the descending bucket to reach the ground.
I have no clue how to solve this.
Initially the acceleration is zero as both the buckets are at rest. R= 90N for the top bucket and T= 30N for the bottom bucket.
 
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What have you tried? Did you start by sketching out a Free Body Diagram?

-Dan
 
topsquark said:
What have you tried? Did you start by sketching out a Free Body
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topsquark said:
What have you tried? Did you start by sketching out a Free Body Diagram?

-Dan
I think I realized where I have done the mistake. I need to calculate the F= m×a of the 9kg bucket going down taking its acceleration as negative and the bucket of 3 kg coming up acceleration as positive. I get t= 3s
Is this the right way? My freeborn diagram is wrong for the bucket that's on the top
 
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