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Linear mass density of a rod PQ of length l and mass m is varying with the distance x (from P),as lambda = (m)/(2l)(1+ax)(i) Determine the value of a(ii)Also determine the distance of c.m. from the end P. |
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Answer» Solution :`dm = lambda DX` `m = int_(0)^(l)(m)/(2l)(1+ax)dx "" RARR a = 2//l` From P `x_(CM)=(INT xdm)/(m)=(int_(0)^(1)XX(m)/(2l)(1+(2x)/(l))dx)/(m)=(7)/(12)l` 
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