In if mass of the sphere be denoted as 'm' and the acceleration of car be 'a' then `T_(2)` is given by:

Options

A. mg
B. `m(g^(2)+a^(2))^(1//2)`
C. `m(g^(2)-a^(2))^(1//2)`
D. `m(g+a)`

Answer

B

Explanation

`T_(1)=mg`

`T_(2)cos theta=Mg`
`T_(2)=((Mg)/(cos theta))`
`T_(2)sin theta=ma`
`T_(2)^(2)=m^(2)a^(2)+m^(2)g^(2)`