Hooke's Law on a Slope with friction.

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Homework Help Overview

The discussion revolves around applying Hooke's Law in the context of a mass on a slope with friction. Participants are exploring the dynamics of the system, particularly focusing on energy conservation and the behavior of a harmonic oscillator.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of energy conservation and the work done against friction. There are attempts to relate the problem to harmonic motion and considerations of potential energy changes.

Discussion Status

There are multiple lines of reasoning being explored, including hints about energy conservation and the work done by forces. Some participants express uncertainty about specific calculations and the implications of changing forces over distance.

Contextual Notes

Participants mention constraints such as the need to consider the work done against friction and the varying force at different points in the motion. There is also a reference to homework rules that may limit the type of guidance provided.

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The Attempt at a Solution



I mananged to find the acceleration up the slope but cannot get any further than this?
- can someone please give me hint; push in the right direction

Thanks :D
 

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Hint (again): energy conservation.
 
Solve it as a harmonic oscillator, but add a constant to the position, so that x(0)=constant. Solve for that constant, and the rest should follow.

Edit: Oh, wow, energy conservation is a lot easier. Never mind.
 
Mmm energy conservation i get, I am just trying to figure out the work done?
I've the force at the most compressed point, but it changes over the 0.2m it acts upon?
- what am i missing?
 
You can separate out the work done against friction. Kinetic energy is trivial. All that's left is to consider gravitational and spring potentials at 0 and at D.
 
Ok thanks for the helping hints, i'll post back if i still can't get it

- Cheers :D
 

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