Mass of one-dimensional objects Find the mass of the following thin bars with the given density function.
ρ(x) = 1 + sin x;for 0 ≤ x ≤ π
Step 1 of 3
Solution 9E Step1 Given that (x)= 1+sin x for 0x Step2 To find Mass of the thin bar using given density function. Step3 Mass of the object is b m= x) dx a Let a thin bar can be represented as a line segment on the interval axb with a density function, (with units of mass per length). Step4 The mass of bar in kilograms in b m= x) dx a = [1+sinx] dx 0 =[xcos x] 0 Step5 m=(- cos )-(0-cos 0) =( -(-1))-(-1) =+2 Therefore, The mass of the thin bar using given density function is m=+2 kg.
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
The answer to “Mass of one-dimensional objects Find the mass of the following thin bars with the given density function.?(x) = 1 + sin x;for 0 ? x ? ?” is broken down into a number of easy to follow steps, and 27 words. The full step-by-step solution to problem: 9E from chapter: 6.6 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This full solution covers the following key subjects: mass, given, Dimensional, Find, function. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since the solution to 9E from 6.6 chapter was answered, more than 345 students have viewed the full step-by-step answer. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567.