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MasteringEngireering Ma... x C ngineering Mechanic 11 x C Determi Te The Angle e

ID: 1527995 • Letter: M

Question

MasteringEngireering Ma... x C ngineering Mechanic 11 x C Determi Te The Angle e Be X D https://session masteringengineering.com/myct/itemview7assignmentProblemID 5641300 Search Statics 0005 Cha Problem 2.5 Problem 2.51 Part A Suppose that F2 27 kN and Fa 35 kN (Figure 1 Determine the magnitude of the resultant force. Express your answer to three significant figures and include the appropriate units. 15.2 FR Submit My Answers Give Up incorrect; Try Again; 5 attempts remaining Figure 1 af 1 Part B Datermine the orientation of the resultant force, measured counterclockwise from the positive z axis. Express your answer using three significant figures. Fi- 5 kN Submit My Answers a e Ask me anything pravirus l 5 of 6 I nRxt Continue Provide Feedback :43 AM

Explanation / Answer

f1x = 15kcos50 = 9.64 kN

f1y = 15ksin50 = 11.49 kN

f2x = f2costheta = 27k*12/13 = 24.92 kN

f2y = 27k*5/13 = -10.38 kN

f3x = f3cos(-30) = -30.31 kN

f3y = -17.5 kN

fx = 4.25 kN

fy =-16.39 kN

f = sqrt(4.25^2+16.39^2) = 16.93 kN

theta = tan^-1(-16.39/4.25) = -75.46 degrees