Homework7 solutions

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Unformatted text preview: ME 104: Homework 7 Solutions Prof. Karl Hedrick: University of California, Berkeley Chapter 15, Solution 8 0 2 60 722.57 rad/s 6900 rpm 4 min 0 t 240 s t; 0 722.57 (240) (a) 3.0107 rad/s 3.01 rad/s 2 (b) 12 1 t (722.57)(240) ( 3.0107)(240) 2 2 2 173, 416 86, 708 86, 708 rad 0 t 86, 708 rad 1 rev 2 rad 13,800 rev Chapter 15, Solution 10 AC AC (350 mm)i (200 mm) j (200 mm)k AC AC AC 450 mm 350i 200 j 200k 1 (7i 4 j 4k ) 450 9 1 (9 rad/s) (7i 4 j 4k ) AC 9 (7 rad/s)i (4 rad/s) j (4 rad/s)k 0 ( 175 mm)i (100 mm)k (0.175 m)i + (0.100 m)k rF/B i 7 0.175 j k 4 4 0 0.100 Corner F: rF/B vF 0.4i ( 0.7 0.7) j 0.7k vF (0.4 m/s)i (1.4 m/s)j (0.7 m/s) k =0 aF 0 aF vF i 7 0.4 j 4 1.4 k 4 0.7 rF/B vF ( rF/B ) (2.8 5.6)i ( 1.6 4.9) j ( 9.8 1.6)k aF (8.4 m/s 2 )i (3.3 m/s 2 ) j (11.4 m/s 2 )k Chapter 15, Solution 18 Uniformly accelerated motion. 0 t an 2 an 0 r r2 t) 2 2 t r r2 22 t t 44 at 2 aB r at2 r (1 t r2 2 (1 24 t) aB r aB 2 4 1/ 2 0.2 m, 0.3 rad/s 2 (0.2)(0.3)(1 (0.3) 2 t 4 )1/ 2 0.06(1 0.09t 4 )1...
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