A particle of mass m is going along surface of smooth hemisphere of radius R in verticle plane. At the moment shown its speed is v. Choose correct option(s).

Options

A. `mg-Ncostheta=m(gsin^(2)theta-v^(2)/Rcostheta)`
B. `N-mgcostheta=(mv^(2))/R`
C. `mg-Nsintheta=(mv^(2))/R`
D. `Nsintheta=m(gsinthetacostheta-v^(2)/Rsintheta)`

Answer

A, B

Explanation

`mg-Ncostheta=mgsintheta-m(v^(2))/R costheta`
`Nsintheta=(mv^(2))/R sintheta+mgcosthetasintheta`
`N-mgcostheta=(mv^(2))/R`