April 24th, 2017, 12:05 PM | #1 |
Senior Member Joined: Dec 2015 From: Earth Posts: 173 Thanks: 23 | Help !
A sphere rolls(moves) or walks with ENERGY E=45 J With inertia $\displaystyle I=\frac{2}{5} m r^{2}$ Find the velocity of spehere v=? sphere moves in a plane Last edited by idontknow; April 24th, 2017 at 12:10 PM. |
April 24th, 2017, 12:15 PM | #2 |
Senior Member Joined: Sep 2015 From: Southern California, USA Posts: 1,599 Thanks: 816 |
$K = \dfrac 1 2 I \omega^2$ $v = \omega r$ you should be able to finish. |
April 24th, 2017, 01:30 PM | #3 |
Math Team Joined: Jul 2011 From: Texas Posts: 2,655 Thanks: 1327 |
A sphere that rolls without slipping has both rotational and translational kinetic energy ... $\dfrac{1}{2} I \omega^2 + \dfrac{1}{2} mv^2 = 45 \, J$ |