09_InstSolManual_PDF_Part6 - 9-6 Chapter 9 9.29 Set Up It...

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9.29. Set Up: It takes the head for one back and forth cycle. So, it turns through in starting from rest. Solve: (a) gives (b) 9.30. Set Up: If the mass is distributed farther from the rotation axis, I is larger. Solve: (a) B (b) A (c) A 9.31. Set Up: The distances of the blocks from the axis are and Solve: 9.32. Set Up: (a) (b) (c) Solve: (a) (b) (c) 9.33. Set Up: (a) Each mass is a distance from the axis. (b) each mass is 0.200 m from the axis. (c) two masses are on the axis and two are from the axis. Solve: (a) (b) (c) Reflect: The value of I depends on the location of the axis. 9.34. Set Up: For a point mass, where R is its distance from the axis. Use Table 9.2 for the objects that have a distribution of mass. Solve: (a) (b) The mass at the axis makes no contribution to I . (c) 9.35. Set Up: (a) For a solid cylinder of mass m , and for a thin-walled hollow cylinder of mass M , (b) For a solid sphere of mass M , and for a thin-walled hollow sphere of mass M , I 5 2 3 MR 2 . I 5 2 5 MR 2 I 5 MR 2 . I 5 1 2 mR 2 I 5 1 0.725 kg 1 2 3 0.112 kg 421 0.300 m 2 2 5 0.0854 kg # m 2 I 5 I hoop 1 6 I spokes 5 M hoop R 2 1 6 A 1 3 M spoke R 2 B 5 1 M hoop 1 2 M spoke 2 R 2 I 5 I bar 1 mR 2 5 1 3 M bar L 2 1 mR 2 5 1 3 1 2.50 kg 21 1.50 m 2 2 1 1 1.25 kg 21 1.50 m 2 2 5 4.69 kg # m 2 I 5 1 12 1 2.50 kg 21 1.50 m 2 2 1
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