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A weightless rigid rod with a small iron...


A weightless rigid rod with a small iron bob at the end is hinged at point A to the wall so that it can rotate in all directions. The rod is kept in the horizontal position by a vertical inextensible string of length `20cm`, fixed at its midpoint. The bob is displaced slightly perpenducular to the plane of the rod and string. Find period of small oscillations of the system in the form `(piX)/(10)s` and fill the value of X.

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The correct Answer is:
4


`:.` The bob will execute `SHM` about the stationary axis passing thorugh `AB`,
`:. T = 2pi sqrt((l')/(g'))`, where `l' = (l)/(sin theta), g' = g cos theta`
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