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BME 110A Homework1

# BME 110A Homework1 - 40° 60° 50° C A B D 55° 45° LF RF...

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(I) Short problems, warm up 1. Consider the following four matrices: = 1 2 3 4 ; = 7 8 9 ; = 1 2 3 4 0 5 6 7 8 0 9 0 ; = 11 21 32 64 80 45 36 77 84 6 96 30 ; Calculate the following: i) inner product between “a” and “A” ii) inner product between “b” and “B” iii) inner product between A and B T 2. 2: Consider forces A,B,C,D acting on a particle a) Determine the resultant R using the polygon rule: A = 10N, B = 20N, C = 25N, D = 15N b) Demonstrate that ( A + B ) + ( C + D ) = ( A + D ) + ( B + C) by the polygon rule 3. Two patients share one hook of a traction device. Forces LF and RF act through the cables that attach each sling to the hook. a) If LF = 100N, what is the magnitude of RF if the resultant force R is vertical? Draw a FBD and solve using the trig method b) What is the magnitude of R ?

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Unformatted text preview: 40° 60° 50° C A B D 55° 45° LF RF A B C II Book Problems 2.1, 2.9 (use laws of sines and cosines), 2.8, 2.16, 2.15. (III) Comprehensive problem. Mr. Handy made an appearance in last year’s homework, as no doubt most of you know. a) Determine the tension in cable AC as a function of α if R of the three forces at C acts purely along boom BC. Let α range from 60 degrees 110 degrees as drawn. For the purposes of this problem, you can assume that the section of cable AC always makes a 60 degree angle to the vertical as drawn. b) Determine R as a function of α . c) Let W = 100 lbs. Plot your results of parts a and b using excel, Matlab, or similar program. W 35° 30lbs 50lbs 60° α B C A...
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BME 110A Homework1 - 40° 60° 50° C A B D 55° 45° LF RF...

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