22lecture2a08

22lecture2a08 - Physics 2A Lecture 22 Feb 29 Vivek Sharma...

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Physics 2A Lecture 22: Feb 29 Vivek Sharma UCSD Physics
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Introduction To Rolling Objects !
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Rolling Motion Of A Ball or Wheel Wheel rolling without slipping can be considered as translation of the wheel as a whole with velocity v CM + rotation about center of mass
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Rolling Without Slipping As a wheel (or Boulder !) rotates thru without slipping, point of contact between wheel and surface moves distance s φ Then SR = CM vR ω ⇒= and CM aR α = If wheel rolling on flat surface then wheel’s CM remains directly over point of contact, so it too moves a distance s=R
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Imagine observer at rest w.r.t surface on which a wheel rolls In Observer's frame: point on wheel touching surface must instantaneously be at rest so that it does not slip Symmetric Wheel CM= Geometric center Wheel (Radius R, Ang. speed ω ) Rolls Without Slipping cm ' i cm Velocity of point of contact v =R (rel. to CM) must have same magnitude but opposite direction as v v R ω = G G G G G
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Ball Rolling Thru One Revolution
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1 2 point of contact (labe Think of wheel as rotating about an "instantaneous" axis of rotation that passes thru with surface. is same for this axis (since rigid body) as thru CM.
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This note was uploaded on 05/08/2008 for the course PHYS 2A taught by Professor Hicks during the Winter '07 term at UCSD.

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22lecture2a08 - Physics 2A Lecture 22 Feb 29 Vivek Sharma...

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