BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:On the terminal motion of sliding/spinning discs - Patrick Weidman
  (University of Colorado)
DTSTART:20171130T141000Z
DTEND:20171130T145000Z
UID:TALK96166@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We review the classic problem concerning the terminal motion o
 f a slidingspinning disk on a horizontal surface which shows that sliding 
 and spinningstop at the same time with terminal value &#x1EB\;0 = 0.653\, 
 where &#x1EB\; = v(t)/R&omega\;(t)is the ratio of linear speed to tip spee
 d of a disk of radius R.We then generalize to problem to find the terminal
  motion of annular disksand two-tier disks. For the annular disk the termi
 nal speed ratio &#x1EB\;0 rangesfrom 0.653 to 1 as the radius ratio &eta\;
  = Rin/Rout varies from 0 to 1. Fortwo-tier disks composed of a lower disk
  of radius R1 and height H1 attachedto upper disk of radius R2 and height 
 H2\, one has a two parameter problemdefined by &eta\; = R1/R2 and &lambda\
 ; = H1/H2. In addition to simultaneous terminalstopping motions\, we find\
 , for small regions in &eta\; &minus\; &lambda\; parameter space\, thatthe
  two-tier disk can either stop spinning first and slide to rest\, or stop 
 slidingand spin to rest. An experiment is devised to capture these unique 
 terminalmotions.
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR