A small particle is tied by the help of two strings to vertical walls with the parameters as shown in the figure (g = pi^(2)). The time period of the small oscillations of the particle if it is displaced perpendicular to the plane of the paper slightly is x sec, the value of x is ____________

A small particle is tied by the help of two strings to vertical walls

1.	A small particle is tied by the help of two strings to vertical walls with the parameters as shown in the figure (g = pi^(2)). The time period of the small oscillations of the particle if it is displaced perpendicular to the plane of the paper slightly is x sec, the value of x is ____________
Answer» Solution :RESOLVE mg parallel and perpendicular line `P_(1)P_(2)` parallel COMPONENT will not produced any torque where as perpendicular component will PRODUCE torque `T = 2pi sqrt((d)/(g_(eff)))` where `T =2pisqrt((d)/((gsqrt(3)/(2))))RARR d(sqrt(3))/(2)` `T = 2sec`