Magnitude of Frictional Force in Simple Harmonic Motion

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Homework Help Overview

The discussion revolves around understanding the magnitude of frictional force in the context of simple harmonic motion (SHM). Participants explore various sub-questions related to the behavior of blocks in SHM and the implications of varying acceleration on frictional forces.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants attempt to clarify the relationship between acceleration and friction in SHM, questioning how varying acceleration affects the frictional force. They explore the implications of one block moving with another in harmonic motion and the conditions under which one block might slip relative to another.

Discussion Status

The discussion is active, with participants offering insights and questioning each other's reasoning. Some guidance has been provided regarding the relationship between acceleration and friction, and there is an exploration of the conditions under which slipping may occur.

Contextual Notes

Participants express uncertainty about the conceptual underpinnings of the questions posed, particularly regarding the varying nature of acceleration in SHM and its impact on frictional forces. There is also a focus on the specific positions of the blocks and their respective accelerations.

Rotnort
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Homework Statement


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I do not fully grasp the concept behind all of these sub questions (i)-(iv).

Homework Equations


v=wAcos(wt) (SMH)?
Friction Force = Coefficient of Friction * Normal Force

The Attempt at a Solution



(i) Varying as simple harmonic motion sees varying acceleration as it oscillates forwards, until a stationary point and then backwards.

(ii) Same (not varying) as block A moves with block B, in identical harmonic motion?

(iii) I think this has to do with the result of (ii), which would indicate (ii)'s correct answer is 'varying' but I am not sure why (conceptually).

(iv) as (iii)
 
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F=ma. If a is varying, what can be said about F?
 
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jbriggs444 said:
F=ma. If a is varying, what can be said about F?
I see, very simple. Thank you!

So for (iii), block A would be more likely to slip when block B is at x=d because at x=d block B would have greater acceleration (would it?)
 
Last edited:
Rotnort said:
I see, very simple. Thank you!

So for (iii), block A would be more likely to slip when block B is at x=d because at x=d block B would have greater acceleration (would it?)
Yes!
 

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