Transcription of RENSSELAER POLYTECHNIC INSTITUTE NAME: Section: 9:50 ...
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RENSSELAER POLYTECHNIC INSTITUTE NAME: Section: 9:50 ...
RENSSELAER POLYTECHNIC INSTITUTETROY, NYEXAM NO. 1 INTRODUCTION TO ENGINEERING ANALYSIS(ENGR-1100) Spring 14 name : _____ section : _____RIN:_____Wednesday,February12, 20148:00 9:50 Please state clearly all assumptions made in order for full credit to be #1 (25)Use the following 3 position vectors, defined in a 3D Cartesian coordinate system, for thequestions (1,-4,5),P2=(2,-1,3),P3=(3,-1,-1)(a)Comp ute the vectorsA=P2-P1andB=2P3-P2.(3)(b)Find A and B .(2)(c)Find A, the unit vector in the direction ofA.(3)(d)Compute the scalar product ofAandB.(2)(e)Find the angle, , betweenAandB.(3)(f)FindprojAB, the orthogonal projection ofBonA.(5)(g)Find the vector component ofBorthogonal toA.(4)(h)Show that the vector found in part (g) is indeed orthogonal toA.(3)Note: show all #2 (25)In order to move a wrecked truck, two cables are attached at A and pulled by winches at B and Cas shown. Knowing that the tension in cable AB is 2 Kips (Kilo Pounds) and that in cable AC the tension in cable AB in vector form, (Units: Kips).
Problem #2 (25) In order to move a wrecked truck, two cables are attached at A and pulled by winches at B and C as shown. Knowing that the tension in cable AB is 2 Kips (Ki lo Pounds) and that in cable AC is
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