This preview shows pages 1–6. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Phys 211 3/25/09 Chapter 9  Systems Center of Mass Momentum Conservation of Momentum Review Center of Mass  (CM, COM)  Point that moves as though (1) all of the system’s mass were concentrated there (2) all external forces were applied there x cm = m 1 x 1 + m 2 x 2 + ... + m n x n m 1 + m 2 + ... + m n = m i x i i ∑ m i i ∑ = m i x i i ∑ M In general Works in x,y,z independently! CM motion of a system! F net = M a CM Center of Mass The disk shown below in (1) clearly has its center of mass at the center. Suppose the disk is cut in half and the pieces arranged as shown in (2). Where is the center of mass of (2) as compared to (1) ? (1) X CM (2) 1) higher 2) lower 3) at the same place 4) there is no deFnable CM in this case CM Motion Determine the velocity of the center of mass. v CM = d dt r cm = d dt m 1 r 1 + m 2 r 2 + ... + m n r n m 1 + m 2 + ... + m n v CM = m 1 v 1 + m 2 v 2 + ... + m n v n m 1 + m 2 + ... + m n Individual particles add vectorially to give overall CM motion. CM Motion Two equalmass particles (A and B) are located at some distance from each other....
View
Full
Document
This note was uploaded on 10/03/2011 for the course PHYS 211 taught by Professor Pettie during the Spring '08 term at South Carolina.
 Spring '08
 PETTIE
 Center Of Mass, Force, Mass, Momentum

Click to edit the document details