{"id":23632,"date":"2026-04-10T08:01:45","date_gmt":"2026-04-10T12:01:45","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?p=23632"},"modified":"2026-04-10T20:31:15","modified_gmt":"2026-04-11T00:31:15","slug":"homework-h5-m-sp26","status":"publish","type":"post","link":"https:\/\/www.purdue.edu\/freeform\/me274\/2026\/04\/10\/homework-h5-m-sp26\/","title":{"rendered":"Homework H5.M – Sp26"},"content":{"rendered":"\n\n\n
Problem statement<\/strong><\/em><\/span><\/a>
\nSolution video<\/strong><\/em><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n

DISCUSSION THREAD<\/span><\/strong><\/em><\/p>\n

NOTE<\/strong><\/em>: Initially, P is not sliding relative to the rotating bar.<\/span><\/p>\n

\"\"<\/p>\n

Any questions?? Please ask\/answer questions regarding this homework problem through the “Leave a Comment” link above.<\/p>\n

\n

DISCUSSION<\/strong><\/em><\/span><\/p>\n

<\/p>\n

Four-step plan<\/strong><\/span><\/p>\n

Step 1: FBD<\/strong><\/em>
\nDraw a free-body diagram particles A and B, along with the bar, altogether. Is angular momentum for this system conserved? Why, or why not?<\/p>\n

Step 2: Kinetics – Angular impulse\/momentum<\/strong><\/em>
\nWrite down the angular momentum for A, B and the bar individually, and then add together. For a particle A, for example, recall that angular momentum is given by H<\/strong>O<\/sub> = m r<\/strong>A\/O<\/sub> x v<\/strong>A<\/sub><\/em>. \u00a0For a rigid body, H<\/strong>O<\/sub> = IO<\/sub><\/em>\u03c9<\/strong>. You will also need the coefficient of restitution equation relating the radial<\/span><\/em>\u00a0(normal components here) components of velocity of A and B during impact.<\/p>\n

Step 3: Kinematics
\n<\/strong><\/em>For writing down the velocity of points A and B, a polar description is recommended. For example, v<\/strong>A<\/sub> = R_dot e<\/strong>R<\/sub> + R\u03c9e<\/strong>\u03b8<\/sub>.<\/em><\/p>\n

Step 4: Solve<\/strong><\/em>
\nSolve your equations from Steps 2 and 3 for the velocity of P. Do not forget that A will have both<\/span><\/em> radial and transverse components of velocity.<\/p>\n

\n

 <\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

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