3) Find the mass and center of mass of a wire in the shape of the helix: x = t, y = cos t ,z = sin t ; 0 < t < 2n, if the density at any point is equal to the square of the distance from the origin.
3) Find the mass and center of mass of a wire in the shape of the helix: x = t, y = cos t ,z = sin t ; 0 < t < 2n, if the density at any point is equal to the square of the distance from the origin.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 64E
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Vector Arithmetic
Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.
Vector Calculus
Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.
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