Rotating Sphere going up an Incline

label Physics
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A solid sphere rolls up an inclined plane of inclination angle 38 degrees. At the bottom of the incline, the center of mass of the sphere has a translational speed of 15 ft/s. How far (in feet) does the sphere roll up the plane (distance along the plane)?

May 3rd, 2015


The principle that can unite a rolling object's rotational and translational kinetic energy into one expression of total KE is called the Parallel Axis Theorem.  

P = ICM + Mh2

where

  • P represents the object's moment of inertia from any location, P
  • CM represents the object's moment of inertia about its center of mass
  • h represents the perpendicular distance from P to the center of mass

May 3rd, 2015

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May 3rd, 2015
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May 3rd, 2015
Oct 17th, 2017
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