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Find u(min) so that particle will compl...

Find `u_(min)` so that particle will complete vertical circle

Text Solution

Verified by Experts

Applying force balance
`T+mg+qE=(mv^(2))/(R)`
but for `u_(min)T=0`

`:.mg+qE=(mv^(2))/(R)`
using energy conservation
`W_(mg)+W_T+W_(E.f)=Deltak`
`-mg.2R+0-qE.2R=1/2mv^(2)-1/2mu^(2)`
`-4R(mg+qE)=R(mg+qE)-"mu"^2`
`u= sqrt(5(g+(qE)/(m))R)`
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