Solution: Formula for XCM for a continuous object (rather than points): √ x(dm) XCM Sdm Plug in for dm: fx(A+Bx)dx XCM √(A+Bx)dx Integrate from x = 0 to x = L: XCM = Clean up: AL²+BL +. 3 AL+B12 XCM 3A+2BL 6A+3BL L 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: λ(x) = A + Bx A small piece of the bat with length dx has a mass of dm = x(x)dx. The bat has a length of L. The CM is a distance of XCM away from the handle. 7 A B 0.457kg m 1.36 kg m² ☑ (no answer) Correct Answer: 0.511 L 0.861m XCM m 8 A B L XCM kg kg 1.32- 0.869m 0.512m m m² ☑ (no answer) Correct Answer: 0.498

Solution: Formula for XCM for a continuous object (rather than points): √ x(dm) XCM Sdm Plug in for dm: fx(A+Bx)dx XCM √(A+Bx)dx Integrate from x = 0 to x = L: XCM = Clean up: AL²+BL +. 3 AL+B12 XCM 3A+2BL 6A+3BL L 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: λ(x) = A + Bx A small piece of the bat with length dx has a mass of dm = x(x)dx. The bat has a length of L. The CM is a distance of XCM away from the handle. 7 A B 0.457kg m 1.36 kg m² ☑ (no answer) Correct Answer: 0.511 L 0.861m XCM m 8 A B L XCM kg kg 1.32- 0.869m 0.512m m m² ☑ (no answer) Correct Answer: 0.498

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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