Two blocks A and B of masses 2m & m are corrected by a massless and inextensible string, The magnitudes of acceleration of A and B immediately after the string is cut are ……………….

Options

A. `(g)/(2),g`
B. g. g
C. `g, (g)/(2)`
D. `(g)/(2), (g)/(2)`

Answer

A

Explanation

The equilibrium condition FBD of .2m.
`2ma_(A) = 3 mg - 2 mg`
`a_(A) = (mg)/(2m) = (a)/(2)`
FBD of .m.
`ma_(B) = mg`
`a_(B) = g`