Mass of one-dimensional objects Find the mass of the following thin bars with the given density function.?(x) = 2? x/2;for 0 ? x ? 2
Step 1 of 3
Solution 11E Step1 Given that x (x)= 2- 2 for 0x2 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 Given (x)= 2- x on interval [0,2] 2 The mass of bar in kilograms in b m= x) dx a 2 = 2- ] dx 0 2 x2 2 =[2x ] 4 0 Step5 m=(2 2-* 242)-(2*0- )4 4 =4- 44-1 =3 Therefore, The mass of the thin bar using given density function is m=3 kg.
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
This full solution covers the following key subjects: mass, function, Dimensional, Find, Density. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The full step-by-step solution to problem: 11E from chapter: 6.6 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. The answer to “Mass of one-dimensional objects Find the mass of the following thin bars with the given density function.?(x) = 2? x/2;for 0 ? x ? 2” is broken down into a number of easy to follow steps, and 25 words. Since the solution to 11E from 6.6 chapter was answered, more than 360 students have viewed the full step-by-step answer. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.