The flatbed truck starts from rest on a road whose constant radius of curvature is $28$ m and whose bank angle is $5.$ If the

constant forward acceleration of the truck is $3\mathrm{.}5\frac{m}{se{c}^2},$ determine the smallest time $t$ after the start of motion at which the

crate on the bed begins to slide. The coefficient of static friction between the crate and truck bed is ${}_s=1\mathrm{.}1,$ and the truck

motion occurs in a horizontal plane.

$t=$

$sec$