10_InstSolManual_PDF_Part3

10_InstSolManual_PDF - 1 1 2 1 10.0 kg 2.00 kg 21 1 1 3 30 cm 50 cm 4 2 2 T 5 1 2 M 1 1 1 3 R 1 R 2 4 2 2 a a 5 a R 2 I 5 1 2 M 1 R 1 2 1 R 2 2 2

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Figure 10.10 Combining these two equations gives and (b) gives (c) applied to the cylinder gives and 10.11. Set Up: F or the pulley where and The free-body diagrams for the stone and for the pulley are given in Figure 10.11. Apply to the stone. The stone accelerates downward, so use coordinates with downward. Apply to the rotation of the pulley, with clockwise as the positive sense of rotation. n is the normal force applied to the pulley by the axle. Figure 10.11 Solve: (a) applied to the stone gives applied to the pulley gives and so Combining the two equations to eliminate T gives (b) (c) Reflect: The tension in the wire is less than the weight of the stone For the stone, the downward force is greater than the upward force and the stone accelerates downward. 1 19.6 N 2 . a5 a / R 2 5 1 2.23 m / s 2 2 / 1 0.500 m 2 5 4.46 rad / s 2 T 5 1 2 1 10.0 kg 21 1 1 3 30 cm / 50 cm 4 2 21 2.23 m / s 2 2 5 15.2 N a 5 2.23 m / s 2 a 5 g 1 1 1 2 1 M / m 21 1 1 3 R 1 / R 2 4 2 2 5 9.80 m / s 2 1
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Unformatted text preview: 1 1 2 1 10.0 kg / 2.00 kg 21 1 1 3 30 cm / 50 cm 4 2 2 T 5 1 2 M 1 1 1 3 R 1 / R 2 4 2 2 a a 5 a / R 2 , I 5 1 2 M 1 R 1 2 1 R 2 2 2 TR 2 5 I a . g t 5 I a mg 2 T 5 ma . g F y 5 ma y x mg T a y Stone Pulley n Mg T R 2 1 a a 5 R 2 a . g t 5 I a 1 y g F S 5 m a S R 2 5 50.0 cm. R 1 5 30.0 cm I 5 1 2 M 1 R 1 2 1 R 2 2 2 , n 5 T 1 mg 5 42.0 N 1 1 12.0 kg 21 9.80 m / s 2 2 5 160 N. n 2 T 2 Mg 5 g F y 5 ma y t 5 Å 2 1 y 2 y 2 a y 5 Å 2 1 10.0 m 2 7.00 m / s 2 5 1.69 s y 2 y 5 v y t 1 1 2 a y t 2 y 2 y 5 10.0 m. v y 5 0, a 5 7.00 m / s 2 , T 5 m 1 g 2 a 2 5 1 15.0 kg 21 9.80 m / s 2 2 7.00 m / s 2 2 5 42.0 N. a 5 mg m 1 M / 2 5 1 15.0 kg 15.0 kg 1 6.0 kg 2 1 9.80 m / s 2 2 5 7.00 m / s 2 . mg 2 1 2 Ma 5 ma x y mg T a T Mg x y n a 1 (a) (b) Dynamics of Rotational Motion 10-3...
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This note was uploaded on 03/06/2009 for the course PHYS 114 taught by Professor Shoberg during the Spring '07 term at Pittsburg State Uiversity.

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