Analytical Mech Homework Solutions 130

Analytical Mech Homework Solutions 130 - 1 1 For I s > I I...

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For s I I > , 11 0 s II  −>   and α decreases with time. 9.16 (a) From table 8.3.1… 2 2 s ma I = about the symmetry (spin) axis. 2 4 cm disk a Im = about an axis through the center of mass of the disk and to the spin axis. From the parallel axis theorem, equation 8.3.21, … S G a / 2 a 45 o z y x 2 2 42 disk ma a =+ about the pivot point. 2 23 rod ma I = moment of inertia of the rod about the pivot point. Thus … 2 22 2 2 422 3 3 disc rod ma a m a I m m    =+= + + =       a From equation 9.7.10, () 1 2 4c o s 2c o s ss IS Mg l I I θ φ +− = ± 1 2 2 2 14 2cos Mgl SS I     ± c o s 2 2 3 2 2 4 3 s ma I ma I == , 1 cos cos45 2 D 1 2 99 2 88 0 3 m Ml cm ma Ia + = 1 2 2 2 2 1 21
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