Answer Happy

A rotor spins with a constant angular velocity N, about a shaft that is mounted at an angle, as shown, to a vertical shaft which itself spins at a constant angular velocity N2. Using the xyz reference frame shown, the sum of moments equation about the y axis applied to the rotor, in its most general form, is: M, = 1yyQy – Tyz(Qz – Wx@y) – 1xy(@x + Wy@z) M + 1x20 - wy) + (Ixx - 122)@_@z For the case described, what is the simplified version of this equation (i.e., where all terms that are zero are omitted)? -
N- N2 BI -) B Ni Α΄
Σ M, = I, (ως – ω3) + (Ια – Ι)ωχω, Σ M, = (Ιμι - Ι)ωχω, ΣΜ, = Ιεω,ω, - Ιχνω, ω, + Ιε (ω - ω) + (Ικα - Ιωχω, - Σ M, = Ιγνα, - Iyg(α, - ω, ω,) - Ιαν (α. + ω,ω.) + Ιε (ως – ω3) + (Ικα – Ι)ωω, ΣΜ, = Iyya, + Ιε (ω – ω3) + (Ι. – )ω,ω, Σ M, = 0