{"id":55,"date":"2020-02-21T14:48:54","date_gmt":"2020-02-21T19:48:54","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/?post_type=chapter&#038;p=55"},"modified":"2021-12-30T20:46:39","modified_gmt":"2021-12-31T01:46:39","slug":"section-2-3-question-1","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/chapter\/section-2-3-question-1\/","title":{"raw":"Sections 2-1 to 2-4  Vector addition of 2 dimensional or coplanar forces.","rendered":"Sections 2-1 to 2-4  Vector addition of 2 dimensional or coplanar forces."},"content":{"raw":"<h1>Question 1 - Coplanar or 2-dimensional force vector resultants<\/h1>\r\n(Note - Labelled Problem 2-8) Find the angle \u03b8\u00a0 for connecting member A to the plate so that the resultant force of FA and FB is directed horizontally to the right.\r\n\r\nHint:\u00a0 Resolve FA and FB into Cartesian or i j k vectors.\r\n\r\nWhat is the magnitude of the resultant force?\r\n\r\n&nbsp;\r\n\r\nFA = 8 kN\r\n\r\nFB = 6 kN\r\n\r\n<img class=\"alignnone wp-image-56 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-8-gray.jpg\" alt=\"\" width=\"1700\" height=\"2200\" \/>\r\n<h1>Question 2 - Coplanar or 2-dimensional force vector resultants<\/h1>\r\nNote:\u00a0 Labelled as Problem 2-20\r\n\r\nIf\u00a0 \u03c6= 45.0<sup>o<\/sup>, F1 = 5 kN and the resultant force is 6 kN directed along the positive y axis, determine the required magnitude of F2 and its direction angle \u03b8 .\r\n\r\n&nbsp;\r\n\r\n[caption id=\"attachment_58\" align=\"alignnone\" width=\"1700\"]<img class=\"wp-image-58 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-20_0001-gray.jpg\" alt=\"equations - worked out solution to a physics problem \" width=\"1700\" height=\"2200\" \/> Image and solution credit to Peter Mulhern. CCBY0[\/caption]\r\n\r\n<img class=\"alignnone wp-image-59 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-20_0002.jpg\" alt=\"\" width=\"1700\" height=\"2200\" \/>\r\n<h1>Question 3 - Determine the resultant force<\/h1>\r\nDetermine the magnitude and direction measured counterclockwise from the positive x axis of the 3 forces.\u00a0 F1 = 500 N and the angle at shown is 20.0<sup>o<\/sup>.\r\n\r\n<img class=\"alignnone wp-image-60 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-38-grqy.jpg\" alt=\"\" width=\"1700\" height=\"2200\" \/>","rendered":"<h1>Question 1 &#8211; Coplanar or 2-dimensional force vector resultants<\/h1>\n<p>(Note &#8211; Labelled Problem 2-8) Find the angle \u03b8\u00a0 for connecting member A to the plate so that the resultant force of FA and FB is directed horizontally to the right.<\/p>\n<p>Hint:\u00a0 Resolve FA and FB into Cartesian or i j k vectors.<\/p>\n<p>What is the magnitude of the resultant force?<\/p>\n<p>&nbsp;<\/p>\n<p>FA = 8 kN<\/p>\n<p>FB = 6 kN<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-56 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-8-gray.jpg\" alt=\"\" width=\"1700\" height=\"2200\" srcset=\"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-8-gray.jpg 1700w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-8-gray-232x300.jpg 232w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-8-gray-791x1024.jpg 791w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-8-gray-768x994.jpg 768w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-8-gray-1187x1536.jpg 1187w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-8-gray-1583x2048.jpg 1583w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-8-gray-65x84.jpg 65w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-8-gray-225x291.jpg 225w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-8-gray-350x453.jpg 350w\" sizes=\"auto, (max-width: 1700px) 100vw, 1700px\" \/><\/p>\n<h1>Question 2 &#8211; Coplanar or 2-dimensional force vector resultants<\/h1>\n<p>Note:\u00a0 Labelled as Problem 2-20<\/p>\n<p>If\u00a0 \u03c6= 45.0<sup>o<\/sup>, F1 = 5 kN and the resultant force is 6 kN directed along the positive y axis, determine the required magnitude of F2 and its direction angle \u03b8 .<\/p>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_58\" aria-describedby=\"caption-attachment-58\" style=\"width: 1700px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-58 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-20_0001-gray.jpg\" alt=\"equations - worked out solution to a physics problem\" width=\"1700\" height=\"2200\" srcset=\"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-20_0001-gray.jpg 1700w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-20_0001-gray-232x300.jpg 232w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-20_0001-gray-791x1024.jpg 791w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-20_0001-gray-768x994.jpg 768w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-20_0001-gray-1187x1536.jpg 1187w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-20_0001-gray-1583x2048.jpg 1583w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-20_0001-gray-65x84.jpg 65w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-20_0001-gray-225x291.jpg 225w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-20_0001-gray-350x453.jpg 350w\" sizes=\"auto, (max-width: 1700px) 100vw, 1700px\" \/><figcaption id=\"caption-attachment-58\" class=\"wp-caption-text\">Image and solution credit to Peter Mulhern. CCBY0<\/figcaption><\/figure>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-59 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-20_0002.jpg\" alt=\"\" width=\"1700\" height=\"2200\" srcset=\"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-20_0002.jpg 1700w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-20_0002-232x300.jpg 232w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-20_0002-791x1024.jpg 791w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-20_0002-768x994.jpg 768w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-20_0002-1187x1536.jpg 1187w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-20_0002-1583x2048.jpg 1583w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-20_0002-65x84.jpg 65w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-20_0002-225x291.jpg 225w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-20_0002-350x453.jpg 350w\" sizes=\"auto, (max-width: 1700px) 100vw, 1700px\" \/><\/p>\n<h1>Question 3 &#8211; Determine the resultant force<\/h1>\n<p>Determine the magnitude and direction measured counterclockwise from the positive x axis of the 3 forces.\u00a0 F1 = 500 N and the angle at shown is 20.0<sup>o<\/sup>.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-60 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-38-grqy.jpg\" alt=\"\" width=\"1700\" height=\"2200\" srcset=\"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-38-grqy.jpg 1700w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-38-grqy-232x300.jpg 232w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-38-grqy-791x1024.jpg 791w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-38-grqy-768x994.jpg 768w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-38-grqy-1187x1536.jpg 1187w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-38-grqy-1583x2048.jpg 1583w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-38-grqy-65x84.jpg 65w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-38-grqy-225x291.jpg 225w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-38-grqy-350x453.jpg 350w\" sizes=\"auto, (max-width: 1700px) 100vw, 1700px\" \/><\/p>\n","protected":false},"author":9,"menu_order":2,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-55","chapter","type-chapter","status-publish","hentry"],"part":21,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-json\/pressbooks\/v2\/chapters\/55","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-json\/wp\/v2\/users\/9"}],"version-history":[{"count":4,"href":"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-json\/pressbooks\/v2\/chapters\/55\/revisions"}],"predecessor-version":[{"id":64,"href":"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-json\/pressbooks\/v2\/chapters\/55\/revisions\/64"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-json\/pressbooks\/v2\/parts\/21"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-json\/pressbooks\/v2\/chapters\/55\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-json\/wp\/v2\/media?parent=55"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-json\/pressbooks\/v2\/chapter-type?post=55"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-json\/wp\/v2\/contributor?post=55"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-json\/wp\/v2\/license?post=55"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}