lecture20 - Rotation of rigid bodies A rigid body is a...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Rotation of rigid bodies A rigid body is a system where internal forces hold each part in the same relative position 2 2 1 2 , 2 1 , , , CM i CM i i lab CM CM system lab system Mv v m K K K For any system: For rigid body: rot i CM i i K v m 2 , 2 1 i i m M
Background image of page 1

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

View Full DocumentRight Arrow Icon
Kinetic Energy and Rotation. Moment of Inertia.   2 2 2 1 2 2 1 2 2 1 i i i i i i i i i rot r m r m v m K i i i r m I 2 2 2 1 I K rot 2 2 1 2 2 1 CM CM I Mv K If R v CM (rolling without slipping) and 2 kMR I then ) 1 ( 2 2 1 2 2 2 1 2 2 1 k Mv R v kMR Mv K CM CM CM i i m M dm r I 2 dm M
Background image of page 2
Note: I=kMR 2 , where k 1
Background image of page 3

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

View Full DocumentRight Arrow Icon
Example: Two spheres have the same radius and equal masses. One is made of solid aluminum and the other is a hollow shell of gold. Which one has the biggest moment of inertia about an axis through its center?
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 10

lecture20 - Rotation of rigid bodies A rigid body is a...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online