Maximum load platform can withstand

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Homework Help Overview

The discussion revolves around a physics problem involving a platform supported by a rectangular plastic tank. The tank is partially submerged in water and oscillates with a specified amplitude. Participants are tasked with determining the maximum load the platform can withstand while still allowing it to float on the water surface, given specific dimensions and conditions of the tank.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants explore the relationship between buoyant force and the submerged height of the tank, questioning the calculations of maximum load based on equilibrium and oscillation conditions.

Discussion Status

There is an ongoing examination of the calculations related to buoyant force and the submerged height of the tank. Some participants suggest re-evaluating the original calculations and dimensions, while others seek clarification on the maximum height of the tank submerged in water under different conditions.

Contextual Notes

Participants are working with specific values for the tank's dimensions and the amplitude of oscillation. There is uncertainty regarding the correct interpretation of these values in relation to buoyant force calculations and the maximum load capacity of the platform.

  • #31
foo9008 said:
so , the max weight = (0.23)(0.5)(9.81)(1000) N ? is correct ?
If we assume the amplitude of the oscillation is still 0.05m, yes. But the question does not make that clear. Why should the amplitude stay the same? With the extra load, the energy flux is greater for the same amplitude. If we were to add some mass, gently, when the tank is at the equilibrium position the amplitude would decrease. Add the right extra mass at the lowest position and it would stop oscillating entirely.
Low marks to the question setter.
 
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  • #32
haruspex said:
If we assume the amplitude of the oscillation is still 0.05m, yes. But the question does not make that clear. Why should the amplitude stay the same? With the extra load, the energy flux is greater for the same amplitude. If we were to add some mass, gently, when the tank is at the equilibrium position the amplitude would decrease. Add the right extra mass at the lowest position and it would stop oscillating entirely.
Low marks to the question setter.
do you mean we can only find the maximum mass hat the tank can support with assumption of no oscillation ?
 
  • #33
haruspex said:
If we assume the amplitude of the oscillation is still 0.05m, yes. But the question does not make that clear. Why should the amplitude stay the same? With the extra load, the energy flux is greater for the same amplitude. If we were to add some mass, gently, when the tank is at the equilibrium position the amplitude would decrease. Add the right extra mass at the lowest position and it would stop oscillating entirely.
Low marks to the question setter.
can i find the maximum buoyant force by not considering the amplitude of the oscilllation of the platform when there is no extra load on it ? if so , the maximum buoyant force = (0.28)(0.5)(9810)N ?
 
  • #34
haruspex said:
If we assume the amplitude of the oscillation is still 0.05m, yes. But the question does not make that clear. Why should the amplitude stay the same? With the extra load, the energy flux is greater for the same amplitude. If we were to add some mass, gently, when the tank is at the equilibrium position the amplitude would decrease. Add the right extra mass at the lowest position and it would stop oscillating entirely.
Low marks to the question setter.
assuming the oscillation is 0.05m when the platform is empty and fully loaded , is the maximum buoyant force = 0.23)(0.5)(9.81)(1000) N ?
 
  • #35
foo9008 said:
assuming the oscillation is 0.05m when the platform is empty and fully loaded , is the maximum buoyant force = 0.23)(0.5)(9.81)(1000) N ?
Yes, I confirmed that in post #31. I think you will have to assume that.
 
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