$3\mathrm{.}2\mathrm{.}6.[$Level $2]$ A mass particle is placed against a cylinder and is held in place by small retaining walls. Initially stationary at $=0,$ the cylinder begins to rotate counter$-$clockwise in such a manner that $=t^2$ rad $\frac{?}{s^2}.$ The radius of

the cylinder is $2$ m $.$ Determine if the mass particle will leave the cylinder's surface before it reaches the top.

$g$