<![CDATA[Scalars and Vectors: Vector Addition by Graphical Method]]> true true true false false false false true true false ]]> ./Vectors4/Updated Picture.PNG ./01authorlookang50x50.png; DESCRIPTION_EDITOR About true false _default_ About false

Topics

Scalars and vectors
Measurement of length and time

Description

Play with the vector sum Model. The simulation randomly generates different vector A and B every time the reset is clicked.
You can
drag the vector midpoint to re-position
drag the vector head to re-size
There are also 3 examples of how this simulation can be used by Teacher Mr. Ezzy Chan.
There are also 3 components representation to connect with the related simulation on components of a vector.

Challenge:

Take an example from your usual word problem and take a picture of it and try to use the simulation to represent the word problem. After you are done, the simulation should be able to calculate as well as draw the resultant vector. send your completed picture to weelookang@gmail.com to be included as an example in this simulation-model!

Sample Learning Goals

(f) add two vectors to determine a resultant by a graphical method
(b) solve problems for a static point mass under the action of 3 forces for 2-dimensional cases (a graphical method would suffice)

Version:

  1. http://weelookang.blogspot.sg/2015/07/ejss-vector-sum-model.html
  2. http://weelookang.blogspot.sg/2010/06/add-two-vectors-to-determine-resultant.html
  3. http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=216.msg846#msg846     

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opts[0]:""; // selected option if ( option=="|V₁|=120,ϑ₁=60°,|V₂|=80,ϑ₂=105°"){ n1=2; DX[1]=120*Math.cos(60/180*pi); DY[1]=120*Math.sin(60/180*pi); DX[2]=80*Math.cos(105/180*pi); DY[2]=80*Math.sin(105/180*pi); // sync sliders Dmagone = Math.sqrt(DX[1]*DX[1]+DY[1]*DY[1]); angleone = 180/pi*Math.atan2(DY[1],DX[1]); Dmagtwo = Math.sqrt(DX[2]*DX[2]+DY[2]*DY[2]); angletwo = 180/pi*Math.atan2(DY[2],DX[2]); Dmagthree = Math.sqrt(DX[3]*DX[3]+DY[3]*DY[3]); anglethree = 180/pi*Math.atan2(DY[3],DX[3]); xmin = -100; xmax = 100; ymin = -20; ymax = 180; midX[0]= X[0]; // starting point midY[0]= Y[0]; XTickStep=10; YTickStep=10; } else if (option=="|V₁|=12,ϑ₁=0°,|V₂|=9,ϑ₂=90°"){ n1=2; DX[1]=12*Math.cos(0/180*pi); DY[1]=12*Math.sin(0/180*pi); DX[2]=9*Math.cos(90/180*pi); DY[2]=9*Math.sin(90/180*pi); // sync sliders Dmagone = Math.sqrt(DX[1]*DX[1]+DY[1]*DY[1]); angleone = 180/pi*Math.atan2(DY[1],DX[1]); Dmagtwo = Math.sqrt(DX[2]*DX[2]+DY[2]*DY[2]); angletwo = 180/pi*Math.atan2(DY[2],DX[2]); Dmagthree = Math.sqrt(DX[3]*DX[3]+DY[3]*DY[3]); anglethree = 180/pi*Math.atan2(DY[3],DX[3]); xmin = -2; xmax = 14; ymin = -2; ymax = 10; midX[0]= X[0]; // starting point midY[0]= Y[0]; XTickStep=1; YTickStep=1; } else if ( option=="|V₁|=400,ϑ₁=-90°,|V₂|=500,ϑ₂=60°,|V₃|=500,ϑ₃=120°"){ n1=3; DX[1]=400*Math.cos(-90/180*pi); DY[1]=400*Math.sin(-90/180*pi); DX[2]=500*Math.cos(60/180*pi); DY[2]=500*Math.sin(60/180*pi); DX[3]=500*Math.cos(120/180*pi); DY[3]=500*Math.sin(120/180*pi); // sync sliders Dmagone = Math.sqrt(DX[1]*DX[1]+DY[1]*DY[1]); angleone = 180/pi*Math.atan2(DY[1],DX[1]); Dmagtwo = Math.sqrt(DX[2]*DX[2]+DY[2]*DY[2]); angletwo = 180/pi*Math.atan2(DY[2],DX[2]); Dmagthree = Math.sqrt(DX[3]*DX[3]+DY[3]*DY[3]); anglethree = 180/pi*Math.atan2(DY[3],DX[3]); xmin = -500; xmax = 500; ymin = -500; ymax = 500; midX[0]= X[0]; // starting point midY[0]= Y[0]; XTickStep=100; YTickStep=100; } else if ( option=="Examples by Mr Ezzy Chan"){ } //VIEW[0]=true; // force resultant to be false by default //update n based on the slider value n1 n=n1+1; for(var i=1;i Elements.Label Elements.Slider Elements.ComboBox 0)? 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