Monday, 19 September 2016

homework and exercises - A rod of length $L$ & mass $M$ is rotating in a circle about one end then calculate tension in the rod at a distance $x$ from the support


A rod of length L & mass M is rotating in a circle about one end then calculate tension in the rod at a distance 'x' from the support ?


For its solution why should we take mass of L-x portion of rod instead of taking mass upto x distance from support as we have the formula


T = m w2 x I m in confusion....




Answer



You have to take the mass from $L$ to $x$, since that is the mass which has to be accelerated by the centripetal force due to the tension at position $x$. The remaining mass of the rod (before position $x$) doesn't add anything to the tension in $x$.


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