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{"name": "UWESbeMeCC2 Q1 - Vector Addition - Randomised Variables Only", "extensions": [], "custom_part_types": [], "resources": [["question-resources/UWESbeMeCC1_-_Q1_Vector_Addition.png", "/srv/numbas/media/question-resources/UWESbeMeCC1_-_Q1_Vector_Addition.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "UWESbeMeCC2 Q1 - Vector Addition - Randomised Variables Only", "tags": [], "metadata": {"description": "<p>3 Forces Applied to an Eye bolt.&nbsp; Use force components to calculate the Reaction force.</p>", "licence": "All rights reserved"}, "statement": "<p>Three wires cause three concurrent forces to act on an eye bolt.</p>\n<p><img src=\"resources/question-resources/UWESbeMeCC1_-_Q1_Vector_Addition.png\" alt=\"Eye bolt with 3 lines in tension attached at different angles\" width=\"447\" height=\"342\" style=\"display: block; margin-left: auto; margin-right: auto;\"/></p>\n<table style=\"height: 150px; width: 551px; border-style: solid; border-color: #000000; margin-left: auto; margin-right: auto;\" border=\"1\" height=\"174\">\n<thead>\n<tr style=\"background-color: #c3d3de; text-align: center;\">\n<td style=\"width: 112.521px; height: 18px;\"></td>\n<td style=\"width: 193.354px; height: 18px; text-align: center;\">Force</td>\n<td style=\"width: 194.792px; height: 18px; text-align: center;\">Angle from the x axis</td>\n</tr>\n<tr style=\"background-color: #c3d3de; text-align: center;\">\n<td style=\"width: 112.521px; height: 33px;\"></td>\n<td style=\"width: 193.354px; height: 33px; text-align: center;\">(N)</td>\n<td style=\"width: 194.792px; height: 33px; text-align: center;\">(&deg;)</td>\n</tr>\n</thead>\n<tbody>\n<tr style=\"height: 33px;\">\n<td style=\"width: 112.521px; height: 33px; text-align: center;\">Force 1</td>\n<td style=\"width: 193.354px; height: 33px; text-align: center;\">{Force1_Mag}</td>\n<td style=\"width: 194.792px; height: 33px; text-align: center;\">{Force1_Ang}</td>\n</tr>\n<tr style=\"height: 33px;\">\n<td style=\"width: 112.521px; height: 33px; text-align: center;\">Force 2</td>\n<td style=\"width: 193.354px; height: 33px; text-align: center;\">{Force2_Mag}</td>\n<td style=\"width: 194.792px; height: 33px; text-align: center;\">{Force2_Ang}</td>\n</tr>\n<tr style=\"height: 33px;\">\n<td style=\"width: 112.521px; height: 33px; text-align: center;\">Force 3</td>\n<td style=\"width: 193.354px; height: 33px; text-align: center;\">{Force3_Mag}</td>\n<td style=\"width: 194.792px; height: 33px; text-align: center;\">{Force3_Ang}</td>\n</tr>\n</tbody>\n</table>\n<p>For the <strong><u>reaction</u> </strong>force provided by the eye bolt, use force components to determine:</p>", "advice": "<p>worked solutions avaiable after exam</p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"Force1_Mag": {"name": "Force1_Mag", "group": "Ungrouped variables", "definition": "random(50 .. 130#1)", "description": "<p>Magnitude of Force 1</p>", "templateType": "randrange", "can_override": false}, "Force1_Ang": {"name": "Force1_Ang", "group": "Ungrouped variables", "definition": "random(0 .. 60#1)", "description": "<p>Angle of Pull for Force 1</p>", "templateType": "randrange", "can_override": false}, "force2_mag": {"name": "force2_mag", "group": "Ungrouped variables", "definition": "random(70 .. 90#1)", "description": "", "templateType": "randrange", "can_override": false}, "force2_ang": {"name": "force2_ang", "group": "Ungrouped variables", "definition": "random(45 .. 90#1)", "description": "", "templateType": "randrange", "can_override": false}, "force3_Mag": {"name": "force3_Mag", "group": "Ungrouped variables", "definition": "random(50 .. 60#1)", "description": "", "templateType": "randrange", "can_override": false}, "force3_ang": {"name": "force3_ang", 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"Force3_Mag*\ncos(radians(force3_ang))", "description": "", "templateType": "anything", "can_override": false}, "Force3_y": {"name": "Force3_y", "group": "Ungrouped variables", "definition": "Force3_Mag*\nsin(radians(force3_ang))", "description": "", "templateType": "anything", "can_override": false}, "ForceT_x": {"name": "ForceT_x", "group": "Ungrouped variables", "definition": "Force1_x+Force2_x+Force3_x", "description": "", "templateType": "anything", "can_override": false}, "ForceT_y": {"name": "ForceT_y", "group": "Ungrouped variables", "definition": "Force1_y+Force2_y+Force3_y", "description": "", "templateType": "anything", "can_override": false}, "ForceT_Mag": {"name": "ForceT_Mag", "group": "Ungrouped variables", "definition": "((ForceT_x^2)+(ForceT_y^2))^0.5", "description": "", "templateType": "anything", "can_override": false}, "ForceT_Ang": {"name": "ForceT_Ang", "group": "Ungrouped variables", "definition": "degrees(arctan(ForceT_y/ForceT_x))", "description": "", "templateType": "anything", "can_override": true}, "Reaction_Mag": {"name": "Reaction_Mag", "group": "Ungrouped variables", "definition": "forcet_mag", "description": "", "templateType": "anything", "can_override": false}, "Reaction_Ang": {"name": "Reaction_Ang", "group": "Ungrouped variables", "definition": "180+forcet_ang", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["Force1_Mag", "Force1_Ang", "force2_mag", "force2_ang", "force3_Mag", "force3_ang", "Force1_x", "Force1_y", "Force2_x", "Force2_y", "Force3_x", "Force3_y", "ForceT_x", "ForceT_y", "ForceT_Mag", "ForceT_Ang", "Reaction_Mag", "Reaction_Ang"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p><strong>Part a)</strong> The magnitude.</p>\n<p><strong>[12 Marks]</strong></p>"}, {"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p><strong>Part b)</strong> The direction. (Give answer to one decimal place).</p>\n<p><strong>[3 Marks]</strong></p>"}, {"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Ensure you include a diagram in your workings.</p>\n<p><strong>[5 Marks]</strong></p>"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Robert Bauld", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/19446/"}]}]}], "contributors": [{"name": "Robert Bauld", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/19446/"}]}