Question
Mass of a wire
In Exercises 1–6, find the mass M and center of mass x of the linear
wire covering the given interval and having the given density 8(x).
1. 1< xS 4, 8(x) = Vx
2. -3 < x < 3, 8(x) = 1 + 3x²
3. 0 < x< 3, 8(x) =
4. 1< x< 2,
8(x)
x3
=
S4, 0<x< 2
15, 2<x< 3
5. 8(x) =
0 < x < 1
1 < x< 2
2 - x,
6. 8(x) =
х,
x + 1

Image Transcription

Mass of a wire In Exercises 1–6, find the mass M and center of mass x of the linear wire covering the given interval and having the given density 8(x). 1. 1< xS 4, 8(x) = Vx 2. -3 < x < 3, 8(x) = 1 + 3x² 3. 0 < x< 3, 8(x) = 4. 1< x< 2, 8(x) x3 = S4, 0<x< 2 15, 2<x< 3 5. 8(x) = 0 < x < 1 1 < x< 2 2 - x, 6. 8(x) = х, x + 1

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