{"id":11931,"date":"2021-09-15T12:00:44","date_gmt":"2021-09-15T16:00:44","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?p=11931"},"modified":"2024-10-05T18:06:50","modified_gmt":"2024-10-05T22:06:50","slug":"homework-h-2-j","status":"publish","type":"page","link":"https:\/\/www.purdue.edu\/freeform\/me274\/chapter-2-discussion\/homework-h-2-j\/","title":{"rendered":"Homework H2.C.11"},"content":{"rendered":"<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-11932\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/08\/Screen-Shot-2021-08-19-at-10.33.16-AM.jpg\" alt=\"\" width=\"248\" height=\"233\" \/><\/p>\n<p><em><strong>Discussion<\/strong><\/em><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" style=\"border: 1px solid #000000\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/09\/H2C_11.gif\" width=\"657\" height=\"323\" \/><\/p>\n<p>The motion of this four-bar mechanism is quite complicated. However, we can make some sense out of the velocities of points B and D by using instant centers (ICs). For a given position of the mechanism, can you visualize the location of the IC for link BD? And from this location, do the directions for the velocities for points B and D make sense?<\/p>\n<p>&nbsp;<\/p>\n<p><em><strong>HINTS<\/strong><\/em>:<br \/>\nYou are asked to perform the complete kinematical analysis for the mechanism for the position shown below.<\/p>\n<p><em><span style=\"text-decoration: underline\">Velocity<\/span><\/em><br \/>\nFor the velocity analysis, you are encouraged to use the IC center approach. Where is the IC for link BD located? What does the location of this IC say about the angular velocity of link BD? Use that result to determine the angular velocity of link DE.<\/p>\n<p><em><span style=\"text-decoration: underline\">Acceleration<\/span><\/em><br \/>\nThis is a standard kinematics of a mechanism problem. For this, consider the following steps:<\/p>\n<ol>\n<li>Write down the acceleration of point B using link AB.<\/li>\n<li>Write down the acceleration expression for D using link DE.<\/li>\n<li>Write down the acceleration expression for B using link DB and your result for the acceleration of D from Step 2.<\/li>\n<li>Equate the expressions for the acceleration of B in Steps 1 and 3 above. From this, solve for the angular accelerations of links BD and DE.<\/li>\n<\/ol>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-12291 aligncenter\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/09\/Screen-Shot-2021-09-07-at-10.20.09-AM-260x300.jpg\" alt=\"\" width=\"367\" height=\"423\" srcset=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/09\/Screen-Shot-2021-09-07-at-10.20.09-AM-260x300.jpg 260w, https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/09\/Screen-Shot-2021-09-07-at-10.20.09-AM.jpg 364w\" sizes=\"auto, (max-width: 367px) 100vw, 367px\" \/><\/p>\n<hr \/>\n<p>Any questions?? Please ask\/answer questions regarding this homework problem through the &#8220;Leave a Comment&#8221; link above.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Discussion The motion of this four-bar mechanism is quite complicated. However, we can make some sense out of the velocities of points B and D by using instant centers (ICs). For a given position of the mechanism, can you visualize the location of the IC for link BD? And from this location, do the directions &hellip; <a href=\"https:\/\/www.purdue.edu\/freeform\/me274\/chapter-2-discussion\/homework-h-2-j\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Homework H2.C.11<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":10,"featured_media":0,"parent":14865,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-11931","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/11931","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/users\/10"}],"replies":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/comments?post=11931"}],"version-history":[{"count":6,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/11931\/revisions"}],"predecessor-version":[{"id":18382,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/11931\/revisions\/18382"}],"up":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/14865"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/media?parent=11931"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}