Question

Find the center of mass of a thin plate covering the region between the curve y = 5 x2 and the x-axis from x = 1 to x = 4. The density of the plate is 8(x) = x(7). Graph the region. Show the rectangle and it's center of mass point (ã, Ý). Plot the center of mass of the plate (,y).

Answer 1

(0) It Л. density dini=n 1 given that Sore) andy mars - и

K У 32 dn д т 5 ж. Х и ги 91 4 0 ~ Г 2. ИЮ и 14 д/, Wh о Ч. Г. С. 72. Judy ts/h ЧЈм брио (1) А Hy и шPR )) - 2.8 ΟΣ Slnom С. 18 2.8 h8 9 )) 3 - 59 h2 | L xh сы 3 И и) и с «І ) 5 ири «.. К. х 1. 21 4' и. གསན་ s h

(920 (8) (5) 9200 = W مار CE م A ) مد 98 (0) مت o (( pدا | - 4 || ایم ۹) - 2 - 9/- 3 9- [* -* ( ( « ] { O h ۱+ % - || - لا h

x=1 x=4 CO 4 2 (2.8.0.26) -2 0 2 09 x