19 - 2D rigid body rotational kinetics - Angular momentum

19 - 2D rigid body rotational kinetics - Angular momentum -...

Info iconThis preview shows pages 1–3. 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
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 2D Rigid Body Rotational Kinetics Angular momentum Angular momentum L : For a point mass (particle): L = m A = m r sin = m r A : perpendicular distance from O (pivot) to the line of G r : distance from O (pivot) to the point mass : angle between r and : velocity component perpendicular to r For a rigid body in pure rotation: L = I about pivot point O Direction of L : CW or CCW for 2D rotation Newtons 2nd law for 2D rigid body pure rotation : dL dt = Conservation of angular momentum = 0 L i = L f or L 1 = L 2 Note: Collision involving a pivoted rigid body: Conservation of momentum is NOT valid. Only conservation of angular momentum is applicable. Example 1. Two identical small spheres, each with mass 0.2 Kg, are mounted on a 0.8 Kg slender rod. The 0.9 m long slender rod pivoted at its center rotates in a horizontal plane, and the spheres can slide along the rod. The slender rod initially spins with an angular velocity of 30 rad/s when the spheres are 0.15 m from the center on each side. rod initially spins with an angular velocity of 30 rad/s when the spheres are 0....
View Full Document

Page1 / 3

19 - 2D rigid body rotational kinetics - Angular momentum -...

This preview shows document pages 1 - 3. Sign up to view the full document.

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