a circle has a radius of 1 meter, find where the circle should be cut so the center of mass of the smaller piece lies half way along the radius, i tried finding My and setting my limit of integration as a variable but i ended up with a very hard to evaluate integral that i dont want to mess with
2006-10-31 04:11:05 · 2 answers · asked by Tim J 2 in Science & Mathematics ➔ Mathematics
Hint: Try just using the quarter circle from 0 to π/2 and find the M_y you want from it. It'll be the same for both quarter circles (from 0 to π) by symmetry
Doug
2006-10-31 04:18:49 · answer #1 · answered by doug_donaghue 7 · 0⤊ 0⤋
Hint: What is the mass of the slice of the circle if the cut is on the mid point of the radius. Now find that point back to the center with twice that mass.
2006-11-01 01:17:44 · answer #2 · answered by RichardPaulHall 4 · 0⤊ 0⤋