L13F11 - P123 F11 Lecture 13 2DEC 2011 TORQUE AND...

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
1 P123 F11 Lecture 13 2DEC 2011 TORQUE AND ROTATIONAL DYNAMICS REVIEW • Center of Mass: • Motion of CM • Rigid Body Rotation • For Constant Angular Acceleration: M x m cm i i i x M r m i i i r i ext dt P d a M F     t ω ω α ω ω αt t ω ω ω z o 0 2 1 0 0 2 2 2 2 1 0 0 0 2 const. d t t av ; 1 2 1 2 2 2 1 2 1 2 ; dt d dt d t t r s
Background image of page 1

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

View Full DocumentRight Arrow Icon
Background image of page 2
3 i-Clicker 2 1 2 1 cm x m x m
Background image of page 3

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

View Full DocumentRight Arrow Icon
4 ENERGY OF ROTATIONAL MOTION For Rigid Body (or collection of objects with rigid relative positions) But… where is distance from axis of rotation Total Kinetic Energy: Moment of Inertia: I [NOTE: I is taken about axis of rotation] i i r v 2 2 2 1 2 2 1 2 2 1 ) ( i i i i i i i r m r m v m K 2 2 2 1 j j j r m K i r i i K K 2 2 2 1 2 2 2 1 ) ( i i i i i i r m r m K 2 2 1 I K Rotational Kinetic Energy
Background image of page 4
EXAMPLE: • Isolated Masses • Uniform rod of length L Far apart: Close together:     2 4 2 4 L L m m I i i i r m I 2 2 2 2 dr r L o     2 2 2 2 L L m m I     12 3 2 3 2 2 2 3 2 2 / 0 3 ML L L r I L L
Background image of page 5

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

View Full DocumentRight Arrow Icon
6 2 12 1 ML I 2 3 1 ML I   2 2 12 1 b a M I 2 3 1 Ma I   2 2 2 1 2 1 R R M I 2 2 1 MR I 2 MR
Background image of page 6
Image of page 7
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 18

L13F11 - P123 F11 Lecture 13 2DEC 2011 TORQUE AND...

This preview shows document pages 1 - 7. Sign up to view the full document.

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