gEng puters HW06.3 Google Cha https:// /myct/itemView ?assignment ProblemID 4264

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gEng puters HW06.3 Google Cha https:// /myct/itemView ?assignment ProblemID 4264682&offset; next masteringengineering.co Session Close Statics Hwo6.3 Problem 4.134 Resources previous l 4 of 4 l return to assignment Problem 4.134 Part A Replace the two wrenches and the force, acting on the pipe Determine the equivalent force at point O assembly, by an equivalent resultant force and couple unit vectors i, j and k. To denote vectors in your answers, be sure to select the 'vec button Express your answer in terms of the moment at point O Figure Submit My Answers Give Up gure 100 N m Part B Determine the couple moment at point O 300 N unit vectors i,j, and k. To denote vectors in your answers, be sure to select the 'vec button Express your answer in terms of the 100 N 0.5 m 0.6 0.8 45 200 N Submit My Answers Give Up 800 N m Provide Feedback Continue 5:48 PM 11/7/2015

Explanation / Answer

first force andmoment vectors:

F1 = 300k N

F3 = 100j N

F2 = 200 * (cos(45) i - sin(45) k ) N

F2 = 141.42 i - 141.42 k N

M1 = 100k Nm

M2 = 180( cos(45) i - sin(45) k ) Nm

M2 = ( 127.28 i - 127.28 k ) Nm

then

equivalent force at point O

Fr = sum of forces

Fr = F1 + F2 + F3

Fr = 141.42 i + 100j + (300 - 141.42) k

Fr = 141.42i + 100j + 159k ) N

F1 = 300k N

F3 = 100j N

F2 = ( 141.42 i - 141.42k ) N

M1 = 100k Nm

M2 = 127.28i - 127.28 k ) Nm

b)

then

equivalent couple moment at point O

the position vectors are r1 = 0.5j m and r2 = 1.1j m

Mr0 = sum of M0

Mr0 = r1 X F1 + r2 X F2 + M1 + M2

by doing the cross product we get

Mr0 = (122i - 183k ) Nm

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