A uniform thin rod is slightly nudged at B from the θ = 0 position so that it falls to the...

A uniform thin rod is slightly nudged at B from the θ = 0 position so that it falls to the right. The coefficient of static friction between the rod and the floor is μs.

Figure P7.86

(a) Determine as a function of θ the normal force (N) and the frictional force (F) exerted by the ground on the rod as the rod falls over.

(b) Knowing that the rod will slip when |F/N| exceeds μs, determine whether the rod will slip as it falls.