Q8 of 8 Page 178

A non-uniform thin rod of length l lies along the x axis with one end at the origin. It has linear mass density λ kgm-1 given by. Find the centre of mass of the rod.

Given linear mass density =

Length of rod = l






Where is the small element at a distance x from origin.


Since the plate is symmetric about y axis so the centre of mass lies at x axis








Hence centre of mass lies at a distance from the origin.


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