Force F has a magnitude of {w_given} N and direction of {theta360} degrees measured anti-clockwise from the positive x-axis.

]]> 4 0.3333333 0 Your answer is correct.

]]> Your answer is partially correct.

]]> Your answer is incorrect.

]]> wx = {-200:-60:10, 60:200:10}; wy = {-200:-60:10, 60:200:10}; 0 ? theta : theta+180; phi_1 = (theta360 + 180); phi = phi_1 > 360 ? (phi_1 - 360) : phi_1;]]> none 0 1 0 2 [wx, wy] 1 1 a) Calculate both components Fx and Fy of the given force F (3 s.f.).

Fx = {_0} N Fy = {_1} N]]> 1 1 0 2 [w_given, phi] 1 1 b) Write the magnitude and direction of the equilibrant force E (3 s.f.).

Magnitude E = {_0} N Angle \(\phi = \){_1} degree (Give the positive angle \( 0<\phi<360 \)).]]> 2 2 0 4 [wx,wy,-wx,-wy] 1 1 c1) Adjust F in the diagram below until its components Fx and Fy fit your calculated values.

c2) Adjust the Equilibrant vector E until it resembles the equilibrant vector.

// JavaScript code to create the construction. var jsxCode = function (question) { // The scalingFactor (of the coordinate system) is read from the variable in Formulas question. // For scaling the axis: x-max = scalingFACTOR*20 var FACTOR = {scalingFACTOR}; var xMAX = 20*FACTOR; var xCOLOR = "#d07"; var yCOLOR = "#00f"; var wCOLOR = "#909"; var exCOLOR = "#d80"; var eyCOLOR = "#068"; var eCOLOR = "#0a0"; // Import the initial coordinates from formulas input field of this part: requires array with 2 answers // Array is stored in [x, y] and initialized with scaled values of [10,10] as default var x, y, ex, ey; [x, y, ex, ey] = question.getAllValues([10*FACTOR,10*FACTOR,-10*FACTOR,-10*FACTOR]); // Initialize the board with coordinate system var board = question.initBoard({ axis:true, boundingbox: [-22*FACTOR,22*FACTOR,22*FACTOR,-22*FACTOR], showCopyright: false, showNavigation: false }); board.create('text', [xMAX,2*FACTOR,'X'], {visible:true, fixed:true, fontSize:15}); board.create('text', [1*FACTOR,xMAX,'Y'], {visible:true, fixed:true, fontSize:15}); // Attributes for better graphic appearance of points, lines, vectors var w_attributes = {fixed:question.isSolved, showInfobox:false, color:wCOLOR, strokeWidth:4, snapSizeX:FACTOR, snapSizeY:FACTOR, snapToGrid:true, label:{position:'bot',autoPosition: true, offset:[10,10], color:wCOLOR, fontSize:15}}; var x_attributes = {fixed:question.isSolved, snapToGrid: false, showInfobox:false, color:xCOLOR, strokeWidth:2, snapSizeX:FACTOR, snapSizeY:FACTOR, snapToGrid:true, label:{position:'bot',autoPosition: true, offset:[10,10], color:xCOLOR, fontSize:15}}; var y_attributes = {fixed:question.isSolved, snapToGrid: false, showInfobox:false, color:yCOLOR, strokeWidth:2, snapSizeX:FACTOR, snapSizeY:FACTOR, snapToGrid:true, label:{position:'bot',autoPosition: true, offset:[10,10], color:yCOLOR, fontSize:15}}; var e_attributes = {fixed:question.isSolved, showInfobox:false, color:eCOLOR, strokeWidth:4, snapSizeX:FACTOR, snapSizeY:FACTOR, snapToGrid:true, label:{position:'bot',autoPosition: true, offset:[10,10], color:eCOLOR, fontSize:15}}; var ex_attributes = {fixed:question.isSolved, snapToGrid: false, showInfobox:false, color:exCOLOR, strokeWidth:2, snapSizeX:FACTOR, snapSizeY:FACTOR, snapToGrid:true, label:{position:'bot',autoPosition: true, offset:[10,10], color:exCOLOR, fontSize:15}}; var ey_attributes = {fixed:question.isSolved, snapToGrid: false, showInfobox:false, color:eyCOLOR, strokeWidth:2, snapSizeX:FACTOR, snapSizeY:FACTOR, snapToGrid:true, label:{position:'bot',autoPosition: true, offset:[10,10], color:eyCOLOR, fontSize:15}}; //Create Points for the vectors var oP = board.create("point", [0,0], {fixed:true, visible:false}); var W = board.create("point", [x,y], w_attributes); W.setLabel(""), W.size(2); var E = board.create("point", [ex,ey], e_attributes); E.setLabel(""), E.size(2); // Points WX, WY will be dependent on point W, points EX and EY on E x = ()=>{return W.X()}; y = ()=>{return W.Y()}; var WX = board.create("point", [x,0], {visible:false}); var WY = board.create("point", [0,y], {visible:false}); ex = ()=>{return E.X()}; ey = ()=>{return E.Y()}; var EX = board.create("point", [ex,0], {visible:false}); var EY = board.create("point", [0,ey], {visible:false}); // Create vectors var wx = board.create("arrow", [ oP, WX], x_attributes); var wy = board.create("arrow", [ oP, WY], y_attributes); var w = board.create("arrow", [ oP, W ], w_attributes); wx.setLabel("Fx"); wy.setLabel("Fy"); w.setLabel("F"); var e_x = board.create("arrow", [ oP, EX], ex_attributes); var e_y = board.create("arrow", [ oP, EY], ey_attributes); var e = board.create("arrow", [ oP, E ], e_attributes); e_x.setLabel("Ex"); e_y.setLabel("Ey"); e.setLabel("E"); // Create dashed lines var xLine = board.create("line", [[x,0], [x,y]], x_attributes); var yLine = board.create("line", [[0,y], [x,y]], y_attributes); xLine.dash(2); yLine.dash(2); var exLine = board.create("line", [[ex,0], [ex,ey]], ex_attributes); var eyLine = board.create("line", [[0,ey], [ex,ey]], ey_attributes); exLine.dash(2); eyLine.dash(2); // Update the board board.update(); // Whenever the construction is altered the values of the points are sent to formulas. question.bindInput(0,x); question.bindInput(1,y); question.bindInput(2,ex); question.bindInput(3,ey); }; // Execute the JavaScript code. new JSXQuestion(BOARDID, jsxCode); ]]>