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Find a(C) and alpha of the smooth rod of...

Find `a_(C)` and `alpha` of the smooth rod of mass `m` and length `l`.

Text Solution

Verified by Experts

Force equation
`F-2F=maimpliesa=-F/m`
Hence `veca=-F/mhati`
Torque equation about centre of mass
`F.l/2+(2/3-l/2)=l_(C)alpha`
`F.l/2+Fl/6=(ml^(2))/12.alpha`
`3/2Fl=(ml^(2))/12.alphaimplies (8F)/(ml)`
Hence `vecalpha=(8F).(ml) hatk`
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