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 M, = 1yyQy – Tyz(Qz – 0x@y) – 1xy(@x + wywz) @yax ) + 1xz(w3 - ) + (Ixx - Izz)0_0; For the case described, what is the simplified version of this equation (i.e., where all terms that are zero are omitted)? - -
ー N2 BI x -Y B N1 A
Σ M, = Ιε (ω – ω3) + (Ιει - Ιχ)ωω, Σ M, = (Ιμι - Ι)ωω, = Σ M, = Ιγεωχω, - Ιχνω,ω, + Ιε (ως – ω3) + (Ικα - Ιωχω, - Σ M, = Ιγνα, - Iye (α, - ω,ω,) - Ιαν (α. + ω,ω.) + 1 (ως ω) + (Ια – Ι)ωω, ΣΜ, = Ιγνα, + Ιε (ω – ω3) + (1 – 1 )ω,ω, Σ M, = 0 *