An iron sphere weights 10 N and rests in a V- shaped trough whose sides form an angle of `60^(@)` What are the normal forces exerted by the walls on the sphere in cases as shown in?

Answer

(a) `R_(A) = 10N and R_(B)=0`
(b) `R_(A)=R_(B)=10N`
(c) `R_(A)=20//sqrt(3)N and R_(B)=(10//sqrt(3))N`

Explanation

`(a)R_(A)=10N=W`
`R_(B)=0`

(b) `R_(A)=R_(B)`
`2R_(A) cos 60^(@)=W`
`R_(A)=W=10N=R_(B)`

(c) `R_(A) cos 60^(@)=R_(B)`
`R_(A) sin 60^(@)=W=10`
`R_(A)=(10xx2)/sqrt(3)=20/sqrt(3)N`