{"id":48,"date":"2020-02-21T12:56:13","date_gmt":"2020-02-21T17:56:13","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/?post_type=chapter&#038;p=48"},"modified":"2021-01-03T01:41:17","modified_gmt":"2021-01-03T06:41:17","slug":"q1-resultant-force-and-direction-angles","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/chapter\/q1-resultant-force-and-direction-angles\/","title":{"raw":"Section 2.5 Three-dimensional or Cartesian Vectors Resultant Force s","rendered":"Section 2.5 Three-dimensional or Cartesian Vectors Resultant Force s"},"content":{"raw":"&nbsp;\r\n<h1>Question 1 - Determine the resultant force and direction angles<\/h1>\r\nIf FB = 600 N and FC = 800 N determine the resultant force and the direction angles of the resultant force acting on the flag pole.\u00a0 \u00a0Hint - resolve the two vectors into Cartesian or i j k vectors first.\u00a0 You will need to find the unit vectors u AB and u AC.\r\n\r\n&nbsp;\r\n\r\n[caption id=\"attachment_49\" align=\"aligncenter\" width=\"1197\"]<img class=\"wp-image-49 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/1170-nourhan-flag-pole-page1-fixed-e1582307423128.jpeg\" alt=\"Flag pole held down by two ropes\" width=\"1197\" height=\"1168\" \/> Flag pole held down by two poles. Image credit:\u00a0 Norhan Saleh, Douglas College PHYS1170 Student, February 2020 CCBY0[\/caption]\r\n\r\n&nbsp;\r\n\r\nSolution\r\n\r\n[caption id=\"attachment_70\" align=\"alignnone\" width=\"1394\"]<img class=\"wp-image-70 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-5-Q-1170-solution-page-1-cropped.jpg\" alt=\"equations \" width=\"1394\" height=\"909\" \/> Solution to the problem. Image and solution credit Nourhan Saleh, PHYS1170 Douglas College, February 2020 CCBY0[\/caption]\r\n\r\n[caption id=\"attachment_50\" align=\"aligncenter\" width=\"703\"]<img class=\"wp-image-50 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/1170-nourhan-flag-pole-page2-solutions-e1582307490811.jpg\" alt=\"Solution to the problem\" width=\"703\" height=\"868\" \/> Solution to the problem.[\/caption]\r\n\r\nI\r\n\r\n&nbsp;\r\n\r\n&nbsp;","rendered":"<p>&nbsp;<\/p>\n<h1>Question 1 &#8211; Determine the resultant force and direction angles<\/h1>\n<p>If FB = 600 N and FC = 800 N determine the resultant force and the direction angles of the resultant force acting on the flag pole.\u00a0 \u00a0Hint &#8211; resolve the two vectors into Cartesian or i j k vectors first.\u00a0 You will need to find the unit vectors u AB and u AC.<\/p>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_49\" aria-describedby=\"caption-attachment-49\" style=\"width: 1197px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-49 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/1170-nourhan-flag-pole-page1-fixed-e1582307423128.jpeg\" alt=\"Flag pole held down by two ropes\" width=\"1197\" height=\"1168\" srcset=\"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/1170-nourhan-flag-pole-page1-fixed-e1582307423128.jpeg 1197w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/1170-nourhan-flag-pole-page1-fixed-e1582307423128-300x293.jpeg 300w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/1170-nourhan-flag-pole-page1-fixed-e1582307423128-1024x999.jpeg 1024w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/1170-nourhan-flag-pole-page1-fixed-e1582307423128-768x749.jpeg 768w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/1170-nourhan-flag-pole-page1-fixed-e1582307423128-65x63.jpeg 65w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/1170-nourhan-flag-pole-page1-fixed-e1582307423128-225x220.jpeg 225w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/1170-nourhan-flag-pole-page1-fixed-e1582307423128-350x342.jpeg 350w\" sizes=\"auto, (max-width: 1197px) 100vw, 1197px\" \/><figcaption id=\"caption-attachment-49\" class=\"wp-caption-text\">Flag pole held down by two poles. Image credit:\u00a0 Norhan Saleh, Douglas College PHYS1170 Student, February 2020 CCBY0<\/figcaption><\/figure>\n<p>&nbsp;<\/p>\n<p>Solution<\/p>\n<figure id=\"attachment_70\" aria-describedby=\"caption-attachment-70\" style=\"width: 1394px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-70 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-5-Q-1170-solution-page-1-cropped.jpg\" alt=\"equations\" width=\"1394\" height=\"909\" srcset=\"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-5-Q-1170-solution-page-1-cropped.jpg 1394w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-5-Q-1170-solution-page-1-cropped-300x196.jpg 300w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-5-Q-1170-solution-page-1-cropped-1024x668.jpg 1024w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-5-Q-1170-solution-page-1-cropped-768x501.jpg 768w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-5-Q-1170-solution-page-1-cropped-65x42.jpg 65w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-5-Q-1170-solution-page-1-cropped-225x147.jpg 225w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/h-2-5-Q-1170-solution-page-1-cropped-350x228.jpg 350w\" sizes=\"auto, (max-width: 1394px) 100vw, 1394px\" \/><figcaption id=\"caption-attachment-70\" class=\"wp-caption-text\">Solution to the problem. Image and solution credit Nourhan Saleh, PHYS1170 Douglas College, February 2020 CCBY0<\/figcaption><\/figure>\n<figure id=\"attachment_50\" aria-describedby=\"caption-attachment-50\" style=\"width: 703px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-50 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/1170-nourhan-flag-pole-page2-solutions-e1582307490811.jpg\" alt=\"Solution to the problem\" width=\"703\" height=\"868\" srcset=\"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/1170-nourhan-flag-pole-page2-solutions-e1582307490811.jpg 703w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/1170-nourhan-flag-pole-page2-solutions-e1582307490811-243x300.jpg 243w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/1170-nourhan-flag-pole-page2-solutions-e1582307490811-65x80.jpg 65w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/1170-nourhan-flag-pole-page2-solutions-e1582307490811-225x278.jpg 225w, https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-content\/uploads\/sites\/926\/2020\/02\/1170-nourhan-flag-pole-page2-solutions-e1582307490811-350x432.jpg 350w\" sizes=\"auto, (max-width: 703px) 100vw, 703px\" \/><figcaption id=\"caption-attachment-50\" class=\"wp-caption-text\">Solution to the problem.<\/figcaption><\/figure>\n<p>I<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"author":9,"menu_order":3,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-48","chapter","type-chapter","status-publish","hentry"],"part":21,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-json\/pressbooks\/v2\/chapters\/48","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":2,"href":"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-json\/pressbooks\/v2\/chapters\/48\/revisions"}],"predecessor-version":[{"id":71,"href":"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-json\/pressbooks\/v2\/chapters\/48\/revisions\/71"}],"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\/48\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-json\/wp\/v2\/media?parent=48"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-json\/pressbooks\/v2\/chapter-type?post=48"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-json\/wp\/v2\/contributor?post=48"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/bcengrphys3\/wp-json\/wp\/v2\/license?post=48"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}