{"id":15440,"date":"2022-05-31T10:35:56","date_gmt":"2022-05-31T14:35:56","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?p=15440"},"modified":"2024-10-05T18:06:53","modified_gmt":"2024-10-05T22:06:53","slug":"homework-h4-a-2-2","status":"publish","type":"page","link":"https:\/\/www.purdue.edu\/freeform\/me274\/xx\/homework-h4-a-2-2\/","title":{"rendered":"Homework H4.A.02"},"content":{"rendered":"

\"\"<\/p>\n

Ask and answer questions here. You learn both ways.<\/p>\n

\n

DISCUSSION and HINTS<\/strong><\/em><\/p>\n

Shown below is an animation of the motion for particle P as it moves around on its circular path. Note that the normal force acting on P switches from contact on the outer surface (normal force pointing inward) to contact on the inner surface (normal force pointing outward) and back to contact on the outer surface. Also note that the friction force always opposes the sliding motion of P, as should be expected. (Note that the parameters used in the simulation producing this animation may differ from the ones used in this semester’s homework set.)<\/p>\n

<\/p>\n

Recall the following f<\/em>our-step plan<\/em><\/span> outline in the lecture book and discussed in lecture:<\/p>\n

Step 1: FBDs<\/strong><\/em>
\nDraw a\u00a0free body diagrams for P. Be sure to show the friction force opposing the motion of P in your FBD.<\/p>\n

Step 2: Kinetics (Newton’s 2nd Law)<\/strong><\/em>
\nUsing a set of path unit vectors for resolving forces into components is recommended here. Write down the appropriate Newton’s 2nd law equation in normal and tangential directions. Recall that f = \u03bck<\/sub>*|N|<\/em>.<\/p>\n

Step 3: Kinematics<\/strong><\/em>
\nSince you have used a path description for resolving forces, you should also use a path description for acceleration; that is, a<\/strong>P<\/sub> = v_dot e<\/strong>t<\/sub> +(v2<\/sup>\/r) e<\/strong>n<\/sub>.<\/em><\/p>\n

Step 4: Solve<\/strong><\/em>
\nAt this point you will have two equations in terms of two unknowns: N<\/em> and v_dot<\/em>.<\/p>\n","protected":false},"excerpt":{"rendered":"

Ask and answer questions here. You learn both ways. DISCUSSION and HINTS Shown below is an animation of the motion for particle P as it moves around on its circular path. Note that the normal force acting on P switches from contact on the outer surface (normal force pointing inward) to contact on the inner … Continue reading Homework H4.A.02<\/span> →<\/span><\/a><\/p>\n","protected":false},"author":10,"featured_media":0,"parent":14940,"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-15440","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/15440","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=15440"}],"version-history":[{"count":2,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/15440\/revisions"}],"predecessor-version":[{"id":16377,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/15440\/revisions\/16377"}],"up":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/14940"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/media?parent=15440"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}