In the fig shown below, friction force between the bead and the light string is `(mg)/4` if `t=sqrt((nl)/(7g))` where t is the time in which the bead loose contact with the string after the system is released from rest, find n

Answer

8

Explanation

Acceleration of bead `=(3g)/4 (downarrow)`
Acceleration of thread `=g(uparrow)`
Relative acceleration `=(7g)/4(downarrow)`
`:.l=1/2at^(2), t=sqrt((8l)/(7g))`