10_InstSolManual_PDF_Part25

10_InstSolManual_PDF_Part25 - 1.50 cm 2 5 g t 5 w Pivot...

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Solve: (a) Apply with the axis at the lower end of the beam and counterclockwise torques positive. The moment arm for the force T is and (b) gives and so The floor must be very rough in order for the beam not to slip. 10.67. Set Up: A accelerates downward, B accelerates upward and the wheel turns clockwise. Apply to blocks A and B . Let be downward for A and y be upward for B . Apply to the wheel, with the clockwise sense of rotation positive. Each block has the same magnitude of acceleration, a , and Call the tension in the cord between C and and the tension between C and Solve: For A , gives For B , gives For the wheel, and Adding these three equations gives Reflect: The tensions must be different in order to produce a torque that accelerates the wheel when the blocks accelerate. 10.68. Set Up: Let the pivot be at point P and let counterclockwise torques be positive. Solve: (a) The free-body diagram is given in Figure 10.68. Figure 10.68 (b) gives T 5 1 4.50 kg 21 9.80 m / s 2 21 11.0 cm 2 sin 40.0° 1.50 cm 5 208 N w 1 11.0 cm 21 sin 40.0 2 2 T 1
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Unformatted text preview: 1.50 cm 2 5 g t 5 w Pivot 1.5cm T cm 40 11.0cm T B 5 m B 1 g 1 a 2 5 1 2.00 kg 21 9.80 m / s 2 1 0.730 m / s 2 2 5 21.1 N T A 5 m A 1 g 2 a 2 5 1 4.00 kg 21 9.80 m / s 2 2 0.730 m / s 2 2 5 36.3 N a 5 a R 5 0.730 m / s 2 0.120 m 5 6.08 rad / s 2 a 5 1 m A 2 m B m A 1 m B 1 I / R 2 2 g 5 1 4.00 kg 2 2.00 kg 4.00 kg 1 2.00 kg 1 1 0.300 kg 2 / 1 0.120 m 2 2 2 1 9.80 m / s 2 2 5 0.730 m / s 2 1 m A 2 m B 2 g 5 1 m A 1 m B 1 I R 2 2 a . T A 2 T B 5 1 I R 2 2 a . T A R 2 T B R 5 I a 5 I 1 a / R 2 T B 2 m B g 5 m B a . g F y 5 ma y m A g 2 T A 5 m A a . g F y 5 ma y B T B . A T A a 5 R a . g t 5 I a 1 y g F y 5 ma y m s 5 f s n 5 1.37 3 10 3 N 77 N 5 18. f s 5 m s n n 5 w 2 T sin 60 5 77 N. n 1 T sin 60 2 w 5 g F y 5 T 5 w 1 cos 40 2 sin 20 2 5 1 250 kg 21 9.80 m / s 2 2 1 cos 40 2 sin 20 2 5 2.74 3 10 3 N TL sin 20 2 w 1 L 2 cos 40 2 5 l T 5 L sin 20. g t 5 Dynamics of Rotational Motion 10-25...
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