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A uniform rod of mass m and length l is bend to form A right angled triangle as shown in figure locate the centre of mass of rod
As the rod is uniform and the three sides of triangle contributes the total length.that is to say that ------->let suppose the sides be x and y respectively.x + y + root(x^2 + y^2) = l …..........(1)and from geometry,1/root3 = x/yy = root3 * x...............(2)solve both eqns first and write x and y first in terms of l.then suppose taking origin at B point we will write their x and y axis com.thus,com for AB rod = > (0,x/2)com for BC rod = > (y/2,0)com for rod AC = > (find its coordinates at half of root(x^2 + y^2)Then apply the formulae:Xcom =(m*x1 + m*x2)/(total mass)
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