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CM of Baseball Bat The "linear density" (mass per unit length) of a baseball bat increases with distance x from the thin end according to the function: A(x) = A + Bx A small piece of the bat 7 A B L XCM kg 0.472 1.32 k kg 0.897m m m² 0.531 with length dx has a mass of dmx(x)dx. 8 The bat has a length of L. The CM is a distance of CCM away from the handle. A kg m m L XCM 0.522m B kg 1.23年 0.894m

CM of Baseball Bat The "linear density" (mass per unit length) of a baseball bat increases with distance x from the thin end according to the function: A(x) = A + Bx A small piece of the bat 7 A B L XCM kg 0.472 1.32 k kg 0.897m m m² 0.531 with length dx has a mass of dmx(x)dx. 8 The bat has a length of L. The CM is a distance of CCM away from the handle. A kg m m L XCM 0.522m B kg 1.23年 0.894m

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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please help with #8

B L XCM kg 1.32 kg 0.897m m² CM of Baseball Bat The "linear density" (mass per unit length) of a baseball bat increases with distance x from the thin end according to the function: A(x) = A + Bx A small piece of the bat with length da has a mass of dm = (x)dx. The bat has a length of L. The CM is a distance of 7 8 00 A 0.472- 0.531 m CCM away from the handle. m A B L XCM kg 1.23 kg 0.894m m m² 0.522m Type your answer...
Transcribed Image Text:B L XCM kg 1.32 kg 0.897m m² CM of Baseball Bat The "linear density" (mass per unit length) of a baseball bat increases with distance x from the thin end according to the function: A(x) = A + Bx A small piece of the bat with length da has a mass of dm = (x)dx. The bat has a length of L. The CM is a distance of 7 8 00 A 0.472- 0.531 m CCM away from the handle. m A B L XCM kg 1.23 kg 0.894m m m² 0.522m Type your answer...
Solution: Formula for XCM for a continuous object (rather than points): √x(dm) XCM fdm Plug in for dm: √x(A+Bx)dx √(A+Bx)dx XCM Integrate from x = 0 to x = L: XCM Clean up: A¹² +B¹³ 3 AL+B12 3A+2BL XCM L 6A+3BL
Transcribed Image Text:Solution: Formula for XCM for a continuous object (rather than points): √x(dm) XCM fdm Plug in for dm: √x(A+Bx)dx √(A+Bx)dx XCM Integrate from x = 0 to x = L: XCM Clean up: A¹² +B¹³ 3 AL+B12 3A+2BL XCM L 6A+3BL
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