Question

Find a center of mass of a thin plate of density delta equals 5δ=5 bounded by the lines y equals xy=x and x equals 0x=0 and the parabola y equals 20 minus x squaredy=20−x2 in the first quadran

Answer 1

center of mass

X =
`(my)/(m) = (28)/(19)`

Y =
`(mx)/(m) = (872)/(95)`

Explanation:

y = x and x = 0

parabola ; y = 20 - x^2

attached below is the detailed solution

M =
`(152)/(3)`б

Mx =
`(6976)/(15)`б

My =
`(224)/(3)`б

X =
`(my)/(m) = (28)/(19)`

Y =
`(mx)/(m) = (872)/(95)`