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Unformatted text preview: Hood, Charles Homework 5 Due: Oct 12 2006, 11:00 pm Inst: Jan Opyrchal 1 This printout should have 8 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. The due time is Central time. 001 (part 1 of 2) 10 points Consider four vectors ~ F 1 , ~ F 2 , ~ F 3 , and ~ F 4 , where their magnitudes are F 1 = 58 N, F 2 = 38 N, F 3 = 17 N, and F 4 = 54 N. Let 1 = 140 , 2 = 150 , 3 = 27 , and 4 = 51 , measured from the positive x axis with the counterclockwise angular direction as positive. What is the magnitude of the resultant vec tor ~ F , where ~ F = ~ F 1 + ~ F 2 + ~ F 3 + ~ F 4 ? Correct answer: 32 . 4143 N. Explanation: Basic Concepts: Vector components fig ure1 Solution: The x components of the forces ~ F 1 , ~ F 2 , and ~ F 3 are F 1 x = F 1 cos(140 ) = 44 . 4306 N F 2 x = F 2 cos( 150 ) = 32 . 909 N F 3 x = F 3 cos(27 ) = 15 . 1471 N F 4 x = F 4 cos( 51 ) = 33 . 9833 N . and the y components are F 1 y = F 1 sin(140 ) = 37 . 2816 N F 2 y = F 2 sin( 150 ) = 19 N F 3 y = F 3 sin(27 ) = 7 . 71784 N F 4 y = F 4 sin( 51 ) = 41 . 9659 N . The x and y components of the resultant vec tor ~ F are F x = F 1 x + F 2 x + F 3 x + F 4 x = ( 44 . 4306 N) + ( 32 . 909 N) + (15 . 1471 N) + (33 . 9833 N) = 28 . 2092 N...
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This note was uploaded on 03/22/2009 for the course PHYS 105 taught by Professor Ken during the Fall '08 term at NJIT.
 Fall '08
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