10_InstSolManual_PDF_Part30

10_InstSolManual_PDF_Part30 - 2 2 2 2.29 3 10 3 N 5 1.24 3...

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(b) gives (c) Let be the tension in the segment of cable between the pulley and the bucket and let be the tension in the seg- ment of cable between the pulley and the cylinder. for the bucket gives and for the pulley gives and Or, for the cylinder gives and which checks. Reflect: The acceleration of the bucket is less than g because the weight of the bucket must accelerate not only the bucket but also the pulley and the cylinder. 10.76. Set Up: The weight of the beam acts 4.0 m from each end. Take the pivot at the hinge and let counterclockwise torques be positive. Represent the force exerted by the hinge by its horizontal and vertical components, and Solve: (a) The free-body diagram for the beam is given in Figure 10.76a. Figure 10.76 (b) The moment arm for T is sketched in Figure 10.76b and is equal to gives (c) gives and gives and This is the force the hinge exerts on the beam. By Newton’s 3 rd law the force the beam exerts on the wall has the same magnitude, so is 1.80 3 10 4 N. H 5 " H h 2 1 H v 2 5 1.80 3 10 4 N. H v 5 w 2 T sin 10.0° 5 1 1500 kg 21 9.80 m / s
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Unformatted text preview: 2 2 2 2.29 3 10 3 N 5 1.24 3 10 4 N H v 1 T sin 10.0 2 w 5 g F y 5 H h 5 T cos 10.0 5 1.30 3 10 4 N H h 2 T cos 10.0 5 g F x 5 T 5 1 1500 kg 21 9.80 m / s 2 21 4.0 m 21 cos 30.0 2 1 6.0 m 21 sin 40.0 2 5 1.32 3 10 4 N T 1 6.0 m 21 sin 40.0 2 2 w 1 4.0 m 21 cos 30.0 2 5 g t 5 1 6.0 m 2 sin 40.0. (b) 30 , T 40 6.0m Pivot y x w 10 30 30 4.0m 2.0m 2.0m T sin10 T cos10 H h H v T (a) 1 H v . H h T c 5 1 2 m c a 5 1 2 1 5.00 kg 21 4.52 m / s 2 2 5 11.3 N, T c R c 5 1 2 m c R c 2 1 a / R c 2 g t 5 I a T c 5 T b 2 1 2 m p a 5 15.8 N 2 1 2 1 2.00 kg 21 4.52 m / s 2 2 5 11.3 N. T b 2 T c 5 1 2 m p a 1 T b 2 T c 2 R p 5 1 2 m p R p 2 1 a / R p 2 . g t 5 I a T b 5 m b 1 g 2 a 2 5 1 3.00 kg 21 9.80 m / s 2 2 4.52 m / s 2 2 5 15.8 N m b g 2 T b 5 m b a g F y 5 ma y T c T b a y 5 v y 2 2 v y 2 2 1 y 2 y 2 5 1 4.25 m / s 2 2 2 2 1 2.00 m 2 5 4.52 m / s 2 v y 2 5 v y 2 1 2 a y 1 y 2 y 2 10-30 Chapter 10...
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