Part A Use equations Sa dm, Yem Sydm Xcm %3D M M Calculate the x-coordinate of the center of mass of a semicircular metal plate. to calculate the x- and y-coordinates of the center of mass of a semicircular metal plate with uniform density p and thickness t. Let the radius of the plate be a. The mass of the plate is thus M = - pra? t. Use the coordinate system indicated in (Figure 1). Express your answer in terms of some or all of the variables a, p, and t. 圈] Icm = Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part B Figure 1 of 1 > Calculate the y-coordinate of the center of mass of a semicircular metal plate. y Express your answer in terms of some or all of the variables a, p, and t. 圖]? Ycm = Submit Request Answer

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter10: Systems Of Particles And Conservation Of Momentum
Section: Chapter Questions
Problem 28PQ
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Im having trouble figuring out the equations for this and could use some help.

Part A
Use equations
Pem = M Sa dm, Yem = M Sy dm
Calculate the x-coordinate of the center of mass of a semicircular metal plate.
Express your answer in terms of some or all of the variables a, p, and t.
to calculate the x- and y-coordinates of the center of masss of a
semicircular metal plate with uniform density p and thickness t.
Let the radius of the plate be a. The mass of the plate is thus
M = ; pra?t. Use the coordinate system indicated in
(Figure 1).
圈]
?
Icm =
Submit
Previous Answers Request Answer
X Incorrect; Try Again; 4 attempts remaining
Part B
Figure
1 of 1
Calculate the y-coordinate of the center of mass of a semicircular metal plate.
y
Express your answer in terms of some or all of the variables a, P, and t.
圈]
Ycm =
a
Submit
Request Answer
Transcribed Image Text:Part A Use equations Pem = M Sa dm, Yem = M Sy dm Calculate the x-coordinate of the center of mass of a semicircular metal plate. Express your answer in terms of some or all of the variables a, p, and t. to calculate the x- and y-coordinates of the center of masss of a semicircular metal plate with uniform density p and thickness t. Let the radius of the plate be a. The mass of the plate is thus M = ; pra?t. Use the coordinate system indicated in (Figure 1). 圈] ? Icm = Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part B Figure 1 of 1 Calculate the y-coordinate of the center of mass of a semicircular metal plate. y Express your answer in terms of some or all of the variables a, P, and t. 圈] Ycm = a Submit Request Answer
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