Concept explainers
The position of the center of mass of the plate.
Given:
Radius of uniform circular plate is 2R.
A circular hole of radius R is cut out.
Smaller circle center C’is at a distance of 0.8R from plate center C.
Formula used:
Center of mass of plate on x-axis is,
Calculation:
Consider mass of ring is m, mass of circular hole is
If origin is the center of mass of the big plate then x = -0.80R
The center of mass of plate on the x-axis is,
Location of center of mass on x-axis is,
The y-coordinate of center of mass of circle is located at
The x-coordinate of the circle at
So, the center of mass is located at
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Physics: Principles with Applications
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