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Lecture 10 sect 3.4 - ME221 Statics LECTURE 10 Sections 3.4...

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ME221 Lecture 10 1 ME221 Statics LECTURE # 10 Sections 3.4 & 3.6
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ME221 Lecture 10 2 Homework #4 Chapter 3 problems: 1, 4, 8, 11, 17, 25, 26, 28, 35 & 40 To be solved using hand calculations May check work using MathCAD, etc. Due Friday, September 26 Quiz #3 Wednesday, September 24
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ME221 Lecture 10 3 Last Lecture Cross Product Moment of a Force about a Point Rigid Bodies Today Moment about an Axis Moment of Couple Equivalent Force Couple System
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ME221 Lecture 10 4 Vector Moment Definition The moment about point O of a force acting at point A is: M O = r A/O x F Compute the cross product with whichever method you prefer. r A/O A O F
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ME221 Lecture 10 5 A O.4 0.2 200 N 60 o x 60 o d 0.285 tan 60°=0.2m/x x=0.115m sin 60°=d/0.285m d = 0.247 m M A =200N *0.247m= 49.4 Nm Example Method # 1
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ME221 Lecture 10 6 A O.4 0.2 200 N 60 o 200 cos60 200 sin 60 M + =200N (sin 60)(0.4m)- 200N (cos 60)(0.2m) = 49.4 Nm Method # 2
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ME221 Lecture 10 7 A O.4 0.2 200 N 60 o Method # 3 r F=200N cos 60 i + 200N sin 60 j r =0.4 i + 0.2 j 0.4 0.2 0 200cos60 200sin60 0 M A = =200 (sin 60)(0.4) - 200 (cos 60)(0.2) = 49.4 Nm i j k ^ ^ ^
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ME221 Lecture 10 8 A O.4 0.2 200 N 60 o
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