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Let total energy is conserved,
Total mechanical energy at start = Total mechanical energy at 'B'
mgh = 21mvB2 +mgD ...........(1)
Minimum speed required to complete rotation is, vb=rg=Dg/2
Hence equation (1) becomes,
mgh = 21m2Dg + mgD
hence, h=5/4D
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See the attachement........
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