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

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To eliminate angular frequency in solving simple harmonic motion (SHM) problems, one can utilize the identity sin²(ωt) + cos²(ωt) = 1. The discussion emphasizes the need to express displacement and velocity at different times, leading to equations that incorporate angular frequency. By substituting these expressions into the identity, angular frequency can be eliminated from the equations. The approach involves using known displacements and speeds to derive relationships without directly involving ω. This method allows for solving complex SHM problems more effectively.
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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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