183_notes:examples:a_meter_stick_on_the_ice

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183_notes:examples:a_meter_stick_on_the_ice [2014/11/16 21:37] pwirving183_notes:examples:a_meter_stick_on_the_ice [2014/11/20 16:00] pwirving
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 === Facts === === Facts ===
  
 +Mass of meter stick 300g
  
 +Pull at end of meter stick at right angles to the stick: 6N
  
 +Remember a meter stick is a meter long
  
  
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 === Lacking === === Lacking ===
  
 +Rate of change of the center-of-mass speed $v_{CM}$?
  
 +Rate of change of the angular speed $\omega$?
  
  
 === Approximations & Assumptions === === Approximations & Assumptions ===
  
 +No friction due to ice
  
  
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 Surroundings: Your hand (pulling); ice (negligible effect) Surroundings: Your hand (pulling); ice (negligible effect)
  
-{{course_planning:projects:mi3e_11-006.jpg?400}}+{{183_projects:mi3e_11-050.jpg?300}}
  
-$d\vec{P}/dt = d(m\vec{v}_{CM})/dt = \vec{F}_{net}$+$\frac{d\vec{P}}{dt}$ $\vec{F}_{net}$ 
 + 
 +$\frac{d\vec{L}_{rot}}{dt}$ $\vec{\tau}_{net,CM}
 + 
 +$\tau = r_{A}Fsin \theta$
  
  
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 $d\omega/dt = (3N \cdot m)/[(0.3 kg \cdot m^2)/12] = 120 radians/s^2$ $d\omega/dt = (3N \cdot m)/[(0.3 kg \cdot m^2)/12] = 120 radians/s^2$
  
-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.+In vector terms, $d\vec{\omega}/dtpoints into the page, corresponding to the fact that the angular velocity points into the page and is increasing.
  • 183_notes/examples/a_meter_stick_on_the_ice.txt
  • Last modified: 2014/11/20 16:28
  • by pwirving