Analytical Mech Homework Solutions 132

Analytical Mech Homework Solutions 132 - From the...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
From the perpendicular axis theorem, equation 8.3.14, 2 s I I = From equation 9.10.14, () 2 2 ss Imga S I Im a > + 1 2 1 2 2 2 16 21 7 12 mga g S a ma ma    >=   +  9 For rolling without slipping, va S = 1 2 1 2 11 30 63 2 6 2 3.55 19 19 12 ga vf t s f t s ×× = × If the spokes and hub are neglected, 2 2 s ma I = 1 2 1 2 2 2 1 23 2 mga g S a ma ma + 1 2 1 2 30 32 2 3.65 33 1 2 ga t s f t s × =⋅ × 9.19 From equations 9.3.5 with 0 N = G 3 2 2 3 0 II I ωωω +− = ± 22 1 3 13 0 I = ± 2 1 12 0 I = ± Differentiating the first equation with respect to t: ( ) 3 2 0 I ω + = ±± ± ± From the second and third equations: 31 2 I 3 ωω = ± , and ( ) 3 I 2 = ± 12
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online