KE = \frac{1}{2}M_{1}v_{1}^{2}

= \frac{1}{2}M_{1}(R_{1}ω)^{2}

= \frac{1}{2}M_{1}R_{1}^{2}ω^{2}

= \frac{1}{2}(M_{1}R_{1}^{2})ω^{2}

I = MR^{2}

KE = \frac{1}{2}I_{1}ω^{2}

KE = \frac{1}{2}M_{1}v_{1}^{2} + \frac{1}{2}M_{2}v_{2}^{2} + \frac{1}{2}M_{3}v_{3}^{2}

= \frac{1}{2}(M_{1}R_{1}^{2})ω^{2} + \frac{1}{2}(M_{2}R_{2}^{2})ω^{2} + \frac{1}{2}(M_{3}R_{3}^{2})ω^{2}

= \frac{1}{2}I_{1}ω^{2} + \frac{1}{2}I_{2}ω^{2} + \frac{1}{2}I_{3}ω^{2}

= \frac{1}{2}(I_{1} + I_{2} + I_{3})ω^{2}

= \frac{1}{2}I_{tot}ω^{2}

λ(x) = 3\frac{kg}{m} + (3\frac{kg}{m} )(\frac{x}{10m})