1. A thin strip of metal of mass M is bent into a quarter circle with radius R. Relative to a coordinate system where the center of the circle is at the origin, what is the position of its center of mass, (Xem, yem)? The integrals you'll need to compute to find the center of mass are given below. You answer should be symbolic, in terms of R (for example, 0.1R). Xcm MJ xdm %3D Yem = M S ydm R

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Chapter13: Universal Gravitation
Section: Chapter Questions
Problem 13.4CQ
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1. A thin strip of metal of mass M is bent into a quarter circle with radius R. Relative to a
coordinate system where the center of the circle is at the origin, what is the position of its
center of mass, (Xem, yem)? The integrals you'll need to compute to find the center of mass are
given below. You answer should be symbolic, in terms of R (for example, 0.1R).
y
M xdm
X cm
1
Ycm
Sydm
R
Transcribed Image Text:1. A thin strip of metal of mass M is bent into a quarter circle with radius R. Relative to a coordinate system where the center of the circle is at the origin, what is the position of its center of mass, (Xem, yem)? The integrals you'll need to compute to find the center of mass are given below. You answer should be symbolic, in terms of R (for example, 0.1R). y M xdm X cm 1 Ycm Sydm R
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