The discussion revolves around solving for the spring constant \( k \) in the context of simple harmonic motion, specifically using the equation \( T = 2\pi \sqrt{\frac{m}{k}} \). Participants are exploring algebraic manipulations related to this equation.
Several participants have provided algebraic transformations and corrections to earlier attempts. There is an ongoing exploration of how to correctly manipulate the equation while maintaining balance, with some participants suggesting alternative forms for \( k \).
Participants are navigating the constraints of algebraic manipulation rules and ensuring that operations applied to one side of the equation are consistently applied to the other side. There is an emphasis on maintaining the integrity of the equation throughout the discussion.
03MGCobra said:I am having a hard time solving for k in the equation
T =
2 x pi sq. rt. (m/k)
I know this is simple algebra but its keeping me from solving this.
03MGCobra said:the sq rt goes away on the side with 2 x pi (m/k) and then T^2. so T^2 = 2pi x (m/k) now can be simplified into k = (2pi x m) / T^2?
03MGCobra said:T^2 = 2pi^2 x (m/k) then k = 2pi ^2 x m/ T^2
03MGCobra said:k =((2pi)^2 x m)/T^2