Review Sheet _8

Review Sheet _8 - Rev 2 REVIEW SHEET#8 Rolling Motion...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Rev. 2 REVIEW SHEET #8: Rolling Motion Rolling motion combines translational motion of an object’s center of mass and rotational motion about an axis passing through the center of mass. The linear acceleration of the center of mass is determined by Newton’s Second Law for Translational Motion : ext cm F Ma = r r (M = the total mass of the object) The angular acceleration of the object about an axis through the center of mass is determined by Newton’s Second Law for Rotational Motion : ext I τ α = ⋅ r r The latter equation is valid provided the following conditions are met: (1) The axis through the center of mass must be an axis of symmetry; (2) The axis must not change direction. If the object rolls without slipping , the relationships between the linear and angular kinematic variables (see Review Sheet #6) apply: s r θ = ( in radians), r v ϖ = and tan r a = Use them to reduce the number of unknowns involved in a problem. Hints for solving problems involving a single rolling object (e.g., Problems #9 and #11
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 09/11/2011 for the course PHYS 0174 taught by Professor Kohler during the Spring '08 term at Pittsburgh.

Ask a homework question - tutors are online