Differences

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--- 183_notes:examples:a_meter_stick_on_the_ice [2014/11/16 21:26] – pwirving
+++ 183_notes:examples:a_meter_stick_on_the_ice [2014/11/16 21:40] – pwirving
@@ Line 27: / Line 27: @@
 Surroundings: Your hand (pulling); ice (negligible effect)
-{{course_planning:projects:mi3e_11-006.jpg?400}}
+{{183_projects:mi3e_11-050.jpg?300}}
-$d\vec{P}/dt = d(m\vec{v}_{CM})/dt = \vec{F}_{net}$
@@ Line 38: / Line 38: @@
 From the momentum principle:
-d
+$d\vec{P}/dt = d(m\vec{v}_{CM})/dt = \vec{F}_{net}$
+$dv_{CM}/dt = (6N)/(0.3kg) = 20m/s^2$
+Angular Momentum Principle about center of mass:
+$d\vec{L}_{rot}/dt = \vec{\tau}_{net,CM}$
+Component into screen (-z direction):
+$Id\omega/dt = (0.5m)(6N)sin90^{\circ} = 3N \cdot m$
+$d\omega/dt = (3N \cdot m)/[(0.3 kg \cdot m^2)/12] = 120 radians/s^2$
+In vector terms, $d\vec{\omega}/dt$ points into the page, corresponding to the fact that the angular velocity points into the page and is increasing.