325_Physics ProblemsTechnical Physics

# 325_Physics ProblemsTechnical Physics - Chapter 11...

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Chapter 11 327 SOLUTIONS TO PROBLEMS Section 11.1 The Vector Product and Torque P11.1 M N i j k i j k × = = + ± ± ± . ± . ± . ± 6 2 1 2 1 3 7 00 16 0 10 0 P11.2 (a) area cm cm cm 2 = × = = °− ° = A B AB sin . . sin . . θ 42 0 23 0 65 0 15 0 740 a fa f a f (b) A B i j + = °+ ° + °+ ° 42 0 15 0 23 0 65 0 42 0 15 0 23 0 65 0 . cos . . cos . ± . sin . . sin . ± cm cm cm cm a f a f a f a f A B i j A B + = + = + = + = 50 3 31 7 50 3 31 7 59 5 2 2 . ± . ± . . . cm cm length cm cm cm a f a f a f a f P11.3 (a) A B i j k k × = − = ± ± ± . ± 3 4 0 2 3 0 17 0 (b) A B A B × = sin θ 17 5 13 17 5 13 70 6 = = F H G I K J = ° sin arcsin . θ θ P11.4 A B = − + + − = − 3 00 6 00 7 00 10 0 4 00 9 00 124 . . . . . . a f a f a fa f AB = + + − + − + = 3 00 7 00 4 00 6 00 10 0 9 00 127 2 2 2 2 2 2 . . . . . . a f a f a f a f a f a f (a) cos cos . F H G I K J = = ° 1 1 0 979 168
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