A truss is a Structure made of members joined at their ends. For the truss shown in the figure, the forces in the seven members are determined by solving the following system of seven equations.
F1cos28.5°+ F2-3000=0,
F1sin 28.5°+6521=0,
- F1cos 28.5°-F3cos 58.4°+ F5cos 58.4°+ F6cos 28.5°+3000 =0,
-F1sin 28.5°- F3sin 58.4°- F6sin 58.4 °- F6sin 28.5°=0
-F4- F5cos 58.4°+ F7=0, F6sin 28.5°+7479=0- F7- F6cos 28.5°=0 Write the equations in matrix form and use MATLAB to determine the forces in the members. A positive force means tensile force and a negative force means compressive force. Display the results in a table where the first column displays the member number and the second column displays the corresponding force.
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
MATLAB: An Introduction with Applications
- In which direction clockwise or counterclockwise will pulley 1 rotate if pulley 2 rotates in the clockwise direction? a barrow_forwardGina is standing near a building and notices that the angle of elevation to the top of the building is 68. She then walks 72 feet further away from the building and notices that the angle of elevation to the top of the building is now only 51. Find the height of the building. a. 2511 b. 56ft c. 149ft d. l80ftarrow_forwardConsidering that the consecutive dials on the electric meter rotate in opposite directions, what is the current reading in kilowatt hours of usage? The initial direction is clockwise.arrow_forward
- Three vectors A, B, and C are related as follows: AB = 24180°, A + C= -5 + 15i, and C is the conjugate of B. Find A.arrow_forwardFIND VALUES (IF ANY) OF THE UNKNOWNS X AND Y WHICH SATIFY THE FOLLOWING MATRIC EQUATION:arrow_forwardDetermine whether a = 3i − j + 3k and b = 5i + 9j − 2k are orthogonal, parallel or neither.arrow_forward
- Given the points (-1, 3), (0, 1), (1, 3), and (2, 9), solve the equation Ax = b for x = c de to find the parabola that passes through all four of these points. Convince yourself that b lies in the column space of A.arrow_forwardA boat travels 30 mph due west. there is a 7 mph current at N 30 W. Find the actual speed and direction of the boat. O Speed: 34.04 mi/h, Direction: N 79.74 W O Speed: 30 mi/h, Direction: N 74.743 W Speed: 33 mi/h, Direction: N -10.25 W O Speed: 38.6 mi/h, Direction: N 10.25 Warrow_forwardThe resultant of the four forces is 1000 lbs in the direction 30 degree west of north. Three of the forces are 500 lbs, 60 degrees north of east; 300 lbs south and 400 lbs 53 degree west of south. Find the rectangular components of the fourth force.. A. Fx = - 320 lbs, Fy = - 240Ibs B. Fx=-500lbs, Fy=866lbs C. Fx = - 250 lbs, Fy 433 lbs D. Fx = - 430 lbs, Fy = 973 lbs 2. A student in determined to test the law gravity for himself by walking off as skyscraper 900 f high, with a stopwatch on hand, and starts his free fall (zero initial velocity). Five seconds later, superman arrives at the scene and dives of the roof to save the student. What must superman's initial velocity be in order that he catches the student just before the ground is reached? A. 315 ft/sec B. 300 ft/sec C. 320 ft/sec D. 350 ft/secarrow_forward
- a = 8i-j + 4k, b=54j + 2k Find the angle between the vectors.( First find an exact expression and then apprximate to the nearest degree.)arrow_forwardLet -4 -1 0 1 7 -11 3 -1 A 13 -1 1 -3 13 -1 1 -3 Find orthonormal bases of the kernel and image of A. Basis of the kernel: 1 -17 1 { ||arrow_forwardExplain if these vectors A = 4i – 2j + 4k and B = 4i + 5 j are parallel or perpendicular or not?arrow_forward
- Trigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage LearningElementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning