How can angular frequency be eliminated in solving a challenging SHM problem?

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Homework Help Overview

The discussion revolves around a challenging problem in simple harmonic motion (SHM), specifically focusing on the elimination of angular frequency in the context of solving equations related to displacement and velocity.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss methods for eliminating angular frequency, referencing the relationship between displacement and velocity in SHM. Some suggest using trigonometric identities to simplify the equations, while others express confusion and seek clarification on the original poster's attempts.

Discussion Status

There is an ongoing exchange of ideas, with some participants providing guidance on how to approach the problem by suggesting the use of known relationships in SHM. However, there is no explicit consensus on the best method to eliminate angular frequency, and multiple interpretations of the problem are being explored.

Contextual Notes

Participants note the importance of clearly presenting their work, as some attempts were shared in an unclear format. There is an emphasis on typing out the mathematical work instead of relying on images, which may hinder understanding.

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Last edited:
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Disregard the tangent stuff on the right I tried doing something else...
 
Any clues?
 
I would be able to read your attempt if it was typed in.
Such problems are solved by eliminating the unknown amplitude by using sin2(ωt)+cos2(ωt)=1

ehild
 
Yes,.
 
Last edited:
By the way, you weren't to see my pictures? Mhm.
 
You are supposed to type in your work. I can not decipher what you did from the pictures.

Do the same you did when eliminating the amplitude, but eliminate omega this time.

ehild.
 
It is x=Asin(wt) and dx/dt= Aw cos (wt). The displacements and speeds are given at two different times.

a=A sin(wt1) u/w=Acos(wt1) -->a2+( u/w)2=A2

b=Asin(wt2) v/w=A cos(wt2) -->b2+( v/w)2=A2


Eliminate the angular frequency this time.

ehild.
 

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