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10_InstSolManual_PDF_Part9

# 10_InstSolManual_PDF_Part9 - m 2 5.40 kg m 2 2 1 3.00 rad s...

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10.26. Set Up: and Solve: 10.27. Set Up: Figure 10.27 shows the force on the drawbridge. The weight acts at the center of the drawbridge and this force has moment arm l . Take clockwise rotation to be positive. Figure 10.27 Solve: (a) (b) Reflect: The torque changes as the angle of the bridge above the horizontal changes. 10.28. Set Up: For a point mass, The total moment of inertia is where is the moment of inertia of the woman and is the moment of inertia of the two dumbbells. where Solve: (a) (b) gives and (c) The kinetic energy increases because of the positive work done by the woman as she pulls the weights in. 10.29. Set Up: For a thin-walled hollow cylinder For a slender rod rotating about an axis through its center, Solve: so v f 5 1 I i I f 2 v i 5 1 2.56 kg # m 2 0.90 kg # m 2 2 1 0.40 rev / s 2 5 1.14 rev / s 1 8.0 kg 21 0.25 m 2 2 5 0.90 kg # m 2 . I f 5 0.40 kg # m 2 1 I i 5 0.40 kg # m 2 1 1 12 1 8.0 kg 21 1.8 m 2 2 5 2.56 kg # m 2 . I i v i 5 I f v f . L i 5 L f I 5 1 12 ml 2 . I 5 mR 2 . K f 5 1 2 I f v f 2 5 1 2 1 5.40 kg # m 2 21 4.78 rad / s 2 2 5 61.7 J K i 5 1 2 I i v i 2 5 1 2 1 8.60 kg # m 2 21 3.00 rad / s 2 2 5 38.7 J v f 5 1 I i I f 2 v i 5 1 8.60 kg
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Unformatted text preview: # m 2 5.40 kg # m 2 2 1 3.00 rad / s 2 5 4.78 rad / s. I i v i 5 I f v f L i 5 L f I f 5 I tot, f 5 5.00 kg # m 2 1 2 1 5.00 kg 21 0.20 m 2 2 5 5.40 kg # m 2 . L i 5 1 8.60 kg # m 2 21 3.00 rad / s 2 5 25.8 kg # m 2 / s. I i 5 I tot, i 5 5.00 kg # m 2 1 2 1 5.00 kg 21 0.60 m 2 2 5 8.60 kg # m 2 . L i 5 I i v i . K 5 1 2 I v 2 . L 5 I v . L i 5 L f , I d 5 2 mR 2 I w 5 5.00 kg # m 2 I tot 5 I w 1 I d , I 5 mR 2 . D L D t 5 g t 5 45,000 kg # m 2 / s 2 t 5 wl 5 1 15,000 N 21 6.0 m 21 cos 60.0° 2 5 45,000 N # m 60 ° 6.0m , w L 5 1 1680 kg # m 2 21 3.14 rad / s 2 5 5.28 3 10 3 kg # m 2 / s I 5 1 55 kg 1 50.0 kg 21 4.0 m 2 2 5 1680 kg # m 2 . I woman 5 1 2 m woman R 2 . I disk 5 1 2 m disk R 2 I 5 I disk 1 I woman . v 5 0.50 rev / s 5 3.14 rad / s. L 5 I v . Dynamics of Rotational Motion 10-9...
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