Q1

Q1. Determine the position of centre of mass of an object of mass M in the shape of a right angled triangle whose dimensions are shown in figure. The object has a uniform mass per unit area.

         

Dear Student,
                         Take smaal strip of ydx  as in figure Xcm=0axδydx0aδydx     here δmass per unit area and y=bax  equation of straight line hence  Xcm=0ax2dx0axdx=23asimilarly for  take small strip along x-axis Ycm=0by(a-x)dy0b(a-x)dy     substituting the value x in the terms of y=0by(b-y)dy0b(b-y)dy=b3So center of mass =2a3,b2
Regards

 

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