Notes Ask Your Tea Given the following force vectors: A is 22 lb at an angle of

Question

Notes Ask Your Tea Given the following force vectors: A is 22 lb at an angle of 27e clockwise from the +x axis, and B Is 44 Ib at an angle of 530 clockwise from the ty-axis. (a) Make a sketch and visually estimate the magnitude and angle of the vectorC such that 24 C-results in a vector with a magnitude of 40 lb pointing in the +x direction. (Do this on paper. Your instructor may ask you to turn in this work.) (b) Repeat the calculation in Part (a) using the method of components and compare your result to the estimate in (a). d.1 (27.28)1+ (55.12). Ib magnitude 61.50 direction 63.67 Xcounterciockwise from the +x-axis Solve for the components of C, and use the Pythagorean Theorem and geometry to find the magnitude and direction of the vector Show My Work (optenal Submil Assignment Save Assignment Progress Home My

Explanation / Answer

A = 22(cos27i - sin27j) = 19.60i - 9.99j

B = 44(cos(90-53)i + sin(90-53)j) = 35.14i + 26.48j

2A + C - B = 0 given,

2(19.60i - 9.99j ) + C - (35.14i + 26.48j ) =0

C = -4.06i + 46.46j

magnitude= sqrt(4.06^2 + 46.46^2) = 46.64 lb

direction = 360 - tan^-1(46.46/4.06) = 275 deg

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