Determine the x- and y-coordinates of the mass center of the plate of uniform thickness t = 0.20 in. The plate has a density that 0 (1 + 2/6). varies accoring to p = Po Answers: x = y = 16.9 x = ky² b=27" in. 17" Thickness t ! in.

Determine the x- and y-coordinates of the mass center of the plate of uniform thickness t = 0.20 in. The plate has a density that 0 (1 + 2/6). varies accoring to p = Po Answers: x = y = 16.9 x = ky² b=27" in. 17" Thickness t ! in.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter1: Getting Started

Section: Chapter Questions

Problem 11PQ: CASE STUDY On planet Betatron, mass is measured in bloobits and length in bots. You are the Earth...

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Question

Determine the x- and y-coordinates of the mass center of the plate of uniform thickness t = 0.20 in. The plate has a density that
varies accoring to p = Po
10 (1 + 2/6).
Answers:
x =
y =
16.9
x = ky²
b=27"
in.
17"
Thickness t
!
in.

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Step 1: Determine the given variables

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Step 2: Determine mass of the small width dx of the plate

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Step 3: Calculate x co ordinate of the center of mass

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Step 4: Calculate the value of k

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Step 5: Calculate y co ordinate of the center of mass

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