A solid cylindrical 10-kg roll of roofing paper with a radius of 15 cm, starting from rest rolls down a roof with a incline (Fig. 8.55).

(a) If the cylinder rolls 4.0 m without slipping, what is the angular speed about its center when leaving the roof?
(b) If the roof edge of the house is 6.0 m above level ground, how far from the edge of the roof does the cylindrical roll land? (Figure not to scale.)

15 cm 4.0 m 20 A 6.0 m