Homework 1 Solutions

4 balance of force in non inertial rotational

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

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

Unformatted text preview: e equilibrium because coefficient before 4l is positive. 4) Balance of force In non-inertial rotational reference frame there are three forces acting on the point mass: gravitational force mg acting downward, centrifugal force m⌦2 l sin ✓0 acting outward from rotational orbit and reaction force of the wire m⌦2 sin ✓0 cos ✓0 l+ mg sin ✓0 pointing perpendicular to it . These three forces balance each other. It is possible to obtain the expression for the reaction force using the method of Lagrange multipliers. ˙ L = m l˙2 + m l2 ✓2 + m ⌦2 l2 sin2 ✓0 mgl cos ✓0 , 2 2 2 f (✓) = ✓ = ✓0 - constraints. Equation of motion with constraints: ⇣⌘ f...
View Full Document

This document was uploaded on 02/26/2014 for the course PHYS 200a at UCSD.

Ask a homework question - tutors are online