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

[PhysicsKid0123]

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Null

 

[PhysicsKid0123]

Disregard the tangent stuff on the right I tried doing something else...

 

[PhysicsKid0123]

Any clues?

 

[ehild]

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

 

[PhysicsKid0123]

Yes,.

 

[PhysicsKid0123]

By the way, you weren't to see my pictures? Mhm.

 

[ehild]

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.

 

[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.