Homework SourseDetermine the coordinates of the center of mass of the semic
Determine the co-ordinates of the center of mass of the semicircular region of uniform density enclosed between the x-axis and y = ?1 ? x2 for ?1 ? x ? 1. PLEASE INCLUDE DETAILS
Solution
This is the equation of circle x^2 + y^2 = 1 but since y is always positive we have the above half of the circle. Coordinates of center of mass lets take a semicircle of radius x with width dx its area = pi*x dx integral (x. pi x) dx/(integral pi.x dx) limit for both from 0 to 1 we get (pi*1/3)/(pi.1/2) = 2/3 2/3
