(a) Write the formulas similar to Equations 4 for the center of mass ( x ¯ , y ¯ , z ¯ ) of a thin wire in the shape of a space curve C if the wire has density function p ( x , y , z ) . (b) Find the center of mass of a wire in the shape of the helix x = 2 sin t , y = 2 cos t , z = 3 t , 0 ≤ t ≤ 2 π , if the density is a constant k .
(a) Write the formulas similar to Equations 4 for the center of mass ( x ¯ , y ¯ , z ¯ ) of a thin wire in the shape of a space curve C if the wire has density function p ( x , y , z ) . (b) Find the center of mass of a wire in the shape of the helix x = 2 sin t , y = 2 cos t , z = 3 t , 0 ≤ t ≤ 2 π , if the density is a constant k .
Solution Summary: The author explains that the formulas for center of mass (stackrel-x,
(a) Write the formulas similar to Equations 4 for the center of mass
(
x
¯
,
y
¯
,
z
¯
)
of a thin wire in the shape of a space curve C if the wire has density function
p
(
x
,
y
,
z
)
.
(b) Find the center of mass of a wire in the shape of the helix
x
=
2
sin
t
,
y
=
2
cos
t
,
z
=
3
t
,
0
≤
t
≤
2
π
, if the density is a constant k.
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY