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A uniform rod of mass m and length l can...

A uniform rod of mass `m` and length `l` can rotate in a vertical plane about a smooth horizontal axis point `H`. a. Find angular acceleration `alpha` of the rod. just after it is released from initial horizontal position from rest'? b. Calculate the acceleration (tangential and radial) , point A at this moment.

Text Solution

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a `tau_(H)=I_(H) alpha`
`mg l/2=(ml^(2))/3alphaimplies alpha=(3g)/(2l)`
b. `a_(tA)=alphal=(3g)/(2l)l`
`=a_(CA)=omega^(2)r=0xxl`
`=0(omega=0` just after release)
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