{"id":206,"date":"2015-12-17T19:17:51","date_gmt":"2015-12-17T19:17:51","guid":{"rendered":"https:\/\/staff.kellogg.edu\/pricer\/?page_id=206"},"modified":"2017-05-02T17:28:44","modified_gmt":"2017-05-02T17:28:44","slug":"physics-243-dynamics","status":"publish","type":"page","link":"https:\/\/staff.kellogg.edu\/pricer\/physics-243-dynamics\/","title":{"rendered":"Physics 243  Dynamics"},"content":{"rendered":"<p><strong><a href=\"https:\/\/www.youtube.com\/watch?v=0DmbmerYOlg\" target=\"_blank\">&nbsp;<\/a>1 and 2 D motion<\/strong><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=4QQsKMT879k\" target=\"_blank\">12-86<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=C9jSzh8ckLE\" target=\"_blank\">12.65 part 1<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=R-keS47Jrjw\" target=\"_blank\">12.65 part 2(Numerical Solution for t)<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=mmhGrjTQ-bw\">Describing 2 D motion in Cartesian Coordinates<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=N7imziPT998\">example 1, &nbsp;2 D motion in Cartesian Coordinates<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=DNU0bN-RQ6I\">example 2, 2 D motion in Cartesian Coordinates<\/a><\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=WsMF3hoeC5I\">help with 12.127<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=vVokAMb6Els\">help with 12.123<\/a><\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=Dqj5HJ8M66s&amp;t=661s&amp;list=PLMKIGH2zvZF1tOax1C_vf4uPI7OQQsnh2&amp;index=12\">projectile motion example<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=tZdJWgQ0Ei4&amp;t=6s&amp;index=22&amp;list=PLMKIGH2zvZF3dGiHwWmPn9mBlUXeUNNCF\">&nbsp;Constrained Motion example 1<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=vpQPl92TL6U\" target=\"_blank\">Constrained Motion example 2<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=VPRlfBGmCCk\" target=\"_blank\">Relative Acceleration example<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=M1KYAv3T_Wc\" target=\"_blank\">Relative velocity and acceleration example<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>Newtons Second Law&nbsp;<\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=GTkZy9_hzLE\">example 13-28<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=B08yPkVHJWw\">Hints for 13-37<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=_J-OO-mLM-c\">Hints for 13-59<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>Below are examples of Newtons second law in cylindrical coordinates<\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=ljuhtZZRbJc\">Newton 2 cylindrical example 1<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=0DmbmerYOlg\" target=\"_blank\">13.70 part 1<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=0DmbmerYOlg\" target=\"_blank\">13.70 part II<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=e66DtaNv1D8\" target=\"_blank\">13.89<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=SpFgkPFYZsg\" target=\"_blank\">13.94<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=TMG2ZCQaP0Y\" target=\"_blank\">13.104<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=iJ-z6IyTGNI\" target=\"_blank\">&nbsp;13.104 part II<\/a><\/p>\n<p>&nbsp;<\/p>\n<p><strong>The W<em>ork Energy Theorem<\/em><\/strong><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=0-VftwzqP7g\">What is<em> work<\/em>?<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=PS3MXRcTI34\">Work defined in terms of vectors<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=QuLIM0L-2sk\">How to find work in a 2-d problem<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=Yav4QwE_gAk\">work energy ex 0<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=mYoJ2mHQAx4\" target=\"_blank\">work energy ex 1<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=kZxGHaOWgaY\">help with 14-51<\/a><\/p>\n<p><strong>Momentum and Impact<\/strong><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=jv_9FjxJWVc\">Introduction to Momentum and Impulse<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=bHROWcXrXe4\">How to draw impulse\/momentum diagrams<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=XTZq7j84yUM\">Impulse ex 0<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=Q3wdukIPwAA\">Impulse ex 1<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=XHTAA6CjXSc\" target=\"_blank\">How to write momentum conservation equations is 2-d<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=RROO3hW6fBg\" target=\"_blank\">Oblique impact video 1<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=cL3gZZl0ihY\" target=\"_blank\">How to write momentum equations in tangential and normal directions<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=jnaHwjfAhRU\" target=\"_blank\">&nbsp;Impact ex 0<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=YeoOi8c3yTc\" target=\"_blank\">Impact ex 1<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=kKsnInwfqXs\" target=\"_blank\">Impact ex 2<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=yGSCPTx3SM4\" target=\"_blank\">Hints for 15.57<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=WZXwXR8NMXs\">Impact ex 3<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=WZXwXR8NMXs\">Impact ex 3 15.59<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=ngvHxYFtDn0\" target=\"_blank\">Impact ex 4 15.60<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Rotational Motion about an axis<\/strong><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=yUTOeBxnxEY\">Introduction to angular velocity and angular acceleration<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=yUTOeBxnxEY\">Angular Velocity and Acceleration<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=BLWazq0Ezjw\">Calculating velocity and tangential acceleration due to rotation<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=6Es4vAJoFYE\">Rotational Kinematics ex 1<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=UiEoFObi0p4\">Rotational Kinematics ex 2<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=yR6DoqNIGVU\">Help with 16.4<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Relative Motion<\/strong><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=bLv1_L0_11k\" target=\"_blank\">Instantaneous Center of Rotation<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/O5ZV1U1e990\">Finding velocity and acceleration of a point moving on a body<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/edit?o=U&amp;video_id=FSHk9-MVhFk\">16-140 part I<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/edit?o=U&amp;video_id=PMKT2Y8IMck\">16-140 part II<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/A12ILuwLhuw\">help with 16-137<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>&nbsp;Moment of Inertia<\/strong><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=_snSeqvVmBo\" target=\"_blank\">Moment of Inertia<\/a><\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=D8HqH50DAT0\" target=\"_blank\">&nbsp;Example 1 calculating moment of inertia<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=KXU3aicZKkA\" target=\"_blank\">Example 2 calculating moment of inertia&nbsp;<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=SSdGbe4DE1E\" target=\"_blank\">Parallel Axis Theorem<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/edit?o=U&amp;video_id=-VbTj35GvNw\">Moment of inertia by PAT<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/edit?o=U&amp;video_id=NUClAzb-veU\">Calculating area moment of inertia by integration<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/EsjUEFKMm4w\">help with 17-13<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/1_2IhL17dgY\">help with 17-87<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/spi0aL6-XyY\">help with 17-91<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/l2VoKkIizNo\">help with 103<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/4pBJuxE08Uk\">help with 17-45 and 55<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/R1LVzAV6MCs\">help with 17-115<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/Wz1wObNYjxI\">help with 17-77<\/a><\/p>\n<p>&nbsp;<\/p>\n<p><strong>Newtons Second Law for Rotation<\/strong><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=N4taU0mEclQ\" target=\"_blank\">Intro to Newtons Second Law for rotation<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=-7hO1IowsX8\" target=\"_blank\">&nbsp;Newtons Second Law for rotation ex 1<\/a><\/p>\n<p>&nbsp;<\/p>\n<p><strong>Planar Motion<\/strong><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=VHG7URq-bCY\" target=\"_blank\">Newtons Second Law for plane motion<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=G4eIDb8K33Y\" target=\"_blank\">How to write Newton Second Law equations for a rigid body<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=WED23BKeRDg\" target=\"_blank\">ex 1<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=w1UV5q52KzI\" target=\"_blank\">ex 2<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=xE-UmYoPSDo\" target=\"_blank\">ex 1 Newton Second Law for planar motion<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=_KUrUto0FJc\" target=\"_blank\">ex 2 Newton Second Law for planar motion<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/aXaHllMAwto\">ex 3 Newton Second Law for planar motion<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Work and energy for rigid bodies with planar motion<\/strong><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=wZozFKdsVvI\" target=\"_blank\">example of work energy with rotation<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/k6MuPVy1TJg\">example 2 of work energy with rotation<\/a><\/p>\n<p>&nbsp;<\/p>\n<p><strong>Angular Momentum<\/strong><\/p>\n<p><a href=\"https:\/\/youtu.be\/Qy5eS81oHLw\">Introduction to angular momentum<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/1wXj3kO9Az4\">Angular momentum of a rotating body<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/YZe4D3Vt644\">Angular Impulse<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/kMEgngPDur4\">Angular momentum example 1<\/a><\/p>\n<p><strong>Intro to Vibrations<\/strong><\/p>\n<p><a href=\"https:\/\/youtu.be\/8RFOCzQizOM\">How to solve a second order homogeneous differential equations<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/yPDM2AS1Ypw\">ex 1 of solving a second order DIFF EQ<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/Rass_2acVpc\">Introduction to Mechanical Vibrations<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/Rass_2acVpc\">Introduction to Mechanical Vibrations part II<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/38d3T0QD-3Q\">frequency of a simple pendulum<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/shWWyiH-F9A\">vibration example 3<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/smdFwojtglE\">frequency of a 1\/2 disk <\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=rSd_K-g-BCU\" target=\"_blank\">acceleration for 2 d motion&nbsp;<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp;1 and 2 D motion 12-86 12.65 part 1 12.65 part 2(Numerical Solution for t) Describing 2 D motion in Cartesian Coordinates example 1, &nbsp;2 D motion in Cartesian Coordinates example 2, 2 D motion in Cartesian Coordinates &nbsp; help &hellip; <a href=\"https:\/\/staff.kellogg.edu\/pricer\/physics-243-dynamics\/\">Continue reading <span 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