ECOR 1101 Study Guide - Resultant Force

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Q1. (problem f2. 24, page 63 ) Determine the resultant force at a. = 2 i + 4 j 4 k rac = ( 2)2 + (4)2 + ( 4)2 = 6. = 6 i + 3 j 2 k rac = ( 6)2 + (3)2 + ( 2)2 = 7. = 0. 3333 i + 0. 6667 j 0. 6667 k. = 0. 8575 i + 0. 4286 j 0. 2857 k. 140 lb = 200 i + 400 j 400 k. ) lb lb = 420 i + 210 j 140 k. 540 lb = 620 i + 610 j 540 k. Ra = ( 620)2 + (610)2 + ( 540)2 = 1024 lb (magnitude) Q2. (problem 3. 42, page 101) The ball d has a mass of 20 kg. W = 20 kg (9. 8 m/s2) = 196 n. Fx = 0 tbcos b +100 = 0 (1) Fy = 0 tbsin b 196 = 0 (2) F = (300 i 200 j +150: n.