Concept explainers
Tofind the centre of mass.
Answer to Problem 41E
The centre of the mass is found to be
Explanation of Solution
Given information:
Suppose we have a finite collection of masses in the co-ordinate plane, the mass
The region bounded by the lines
The domain is found to be an isosceles triangle. The area is given by
Let
Which can be also inferred from the center of the triangle at the intersection of the median lines.
In other words, the domain of integration over
Therefore, the centre of the mass is found to be
Chapter 8 Solutions
Calculus: Graphical, Numerical, Algebraic
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