{"id":23549,"date":"2026-02-20T08:00:40","date_gmt":"2026-02-20T13:00:40","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?p=23549"},"modified":"2026-04-22T16:30:16","modified_gmt":"2026-04-22T20:30:16","slug":"homework-h4-b-sp26","status":"publish","type":"post","link":"https:\/\/www.purdue.edu\/freeform\/me274\/2026\/02\/20\/homework-h4-b-sp26\/","title":{"rendered":"Homework H4.B – Sp26"},"content":{"rendered":"\n\n\n
Problem statement<\/strong><\/em><\/span><\/a>
\nSolution video<\/strong><\/em><\/span><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
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DISCUSSION THREAD<\/span><\/strong><\/em><\/p>\n

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Please note that since P is not sliding on the rotating guide, P is traveling along a horizontal circular path having a radius with the radius r<\/em> being the perpendicular distance from P to the vertical shaft. It is recommended that you use a set of polar coordinates: e<\/em><\/strong>r<\/em><\/sub> pointing outward from the vertical shaft to O; e<\/strong>\u03c6<\/sub><\/em> tangent to the above-described path of P; and, k<\/strong><\/em> pointing upward.<\/p>\n

Use the Four-Step solution plan outlined in the lecture book:<\/p>\n

Step 1 – FBD<\/strong><\/em>: Draw a free body diagram of P. With the guide being smooth, there will be only two forces acting on P: the weight and the normal force N<\/em> from the rotating guide.<\/p>\n

Step 2 – Kinetics (Newton)<\/strong><\/em>: Resolve the forces in your FBD into their polar components. Sum forces in the r<\/em>-direction and set equal m*ar<\/sub>. Sum forces in the k<\/em><\/strong>-direction and set equal to 0 (since P has no vertical motion for all time).<\/p>\n

Step 3 – Kinematics<\/strong><\/em>: Use the polar kinematics descriptions of the acceleration of P. Note that r<\/em> is constant for all time and \u03a9<\/em> is constant.<\/p>\n

Step 4 – Solve<\/strong><\/em>. With the above equations you will have sufficient number of equations to solve for the unknowns in the problem, which includes N<\/em> and \u03b8<\/em>.<\/p>\n

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

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

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