General Physics(ppt) Ch 11

General Physics(ppt) Ch 11 - Chapter 11 Rolling, Torque,...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Chapter 11 Rolling, Torque, Angular Momentum Rolling Motion of A Rigid Object The linear speed of the center of mass for pure rolling motion is given by Consider a uniform cylinder of radius R rolling without slipping on a horizontal surface ω θ R dt d R dt ds v CM = = = The magnitude of the linear acceleration of the center of mass for pure rolling motion is α ω R dt d R dt dv a CM CM = = = Chapter 11 Rolling, Torque, Angular Momentum Rolling Motion of A Rigid Object Chapter 11 Rolling, Torque, Angular Momentum The total kinetic energy of the rolling cylinder 2 2 1 ω P I K = Where I p is the moment of inertia about a rotation axis through P. Applying the parallel-axis theorem: 2 MR I I CM P + = 2 2 2 2 1 2 1 ω ω MR I K CM + = 2 2 2 1 2 1 CM CM Mv I + = ω Rotational kinetic energy Translational kinetic energy Chapter 11 Rolling, Torque, Angular Momentum A sphere rolling down an incline. Mechanical energy is conserved if no slipping occurs. ω R v CM = For pure rolling motion 2 2 2 1 ) ( 2 1 CM CM CM Mv R v I K + = 2 2 R 2 2 ) ( 2 1 CM CM v M R I + = Mgh v M R I CM CM = + 2 2 ) ( 2 1 2 1 2 ) 1 2 ( MR I gh v CM CM + = Chapter 11 Rolling, Torque, Angular Momentum...
View Full Document

This note was uploaded on 12/27/2011 for the course LSCI 103 taught by Professor K.y.liao during the Fall '11 term at National Cheng Kung University.

Page1 / 17

General Physics(ppt) Ch 11 - Chapter 11 Rolling, Torque,...

This preview shows document pages 1 - 4. Sign up to view the full document.

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