Macmillan Learning A half-circle of wire of length L and mass M is placed on a coordinate system such that, if the circle were complete, its center would be at the origin. The wire semicircle begins on the positive x-axis, crosses the positive y-axis at the wire's midpoint, and ends at the symmetrically located position on the negative x-axis, as shown. Find the position vector 7CM for the center of mass of the wire in the given coordinate system. Express your answer in terms of the given information, using ij unit-vector notation. 7CM =
Macmillan Learning A half-circle of wire of length L and mass M is placed on a coordinate system such that, if the circle were complete, its center would be at the origin. The wire semicircle begins on the positive x-axis, crosses the positive y-axis at the wire's midpoint, and ends at the symmetrically located position on the negative x-axis, as shown. Find the position vector 7CM for the center of mass of the wire in the given coordinate system. Express your answer in terms of the given information, using ij unit-vector notation. 7CM =
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
Transcribed Image Text:Macmillan Learning
A half-circle of wire of length L and mass M is placed on a
coordinate system such that, if the circle were complete, its
center would be at the origin. The wire semicircle begins on
the positive x-axis, crosses the positive y-axis at the wire's
midpoint, and ends at the symmetrically located position on
the negative x-axis, as shown.
Find the position vector 7CM for the center of mass of the
wire in the given coordinate system. Express your answer in
terms of the given information, using ij unit-vector notation.
7CM =
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for the J component your answer could be simplified to L/pi correct?
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