22lecture2a08

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

This preview shows pages 1–8. Sign up to view the full content.

Physics 2A Lecture 22: Feb 29 Vivek Sharma UCSD Physics

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Introduction To Rolling Objects !
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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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
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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Ball Rolling Thru One Revolution
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.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 05/08/2008 for the course PHYS 2A taught by Professor Hicks during the Winter '07 term at UCSD.

Page1 / 22

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

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online