A thin 10-cm rod is made of an alloy whose density varies along its length according to
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A thin 10-cm rod is made of an alloy whose density varies along its length according to the function shown in the figure. Assume density is measured in units of g/cm.
In Chapter 6, we show that the mass of the rod is the area under the density curve.
a. Find the mass of the left half of the rod (0 ≤ x ≤ 5).
b. Find the mass of the right half of the rod (5 ≤ x ≤ 10).
c. Find the mass of the entire rod (0 ≤ x ≤ 10).
d. Find the point along the rod at which it will balance (called the center of mass).
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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