Unformatted text preview: compute it ﬁrst: M = Z π/ 2π/ 2 cos x dx = sin x ﬂ ﬂ ﬂ π/ 2π/ 2 = 2 . The moment around the yaxis is M y = Z π/ 2π/ 2 x cos x dx = cos x + x sin x ﬂ ﬂ ﬂ π/ 2π/ 2 = 0 and the moment around the xaxis is M x = Z 1 y · 2 arccos y dy = y 2 arccos yy p 1y 2 2 + arcsin y 2 ﬂ ﬂ ﬂ ﬂ ﬂ 1 = π 4 . Thus ¯ x = 2 , ¯ y = π 8 ≈ . 393 ....
View
Full Document
 Spring '07
 JonathanRogawski
 Math, Calculus, Mass, Cos, Fundamental physics concepts, total mass

Click to edit the document details