In: Physics
A) Tom is completely frustrated by the squirrel trying to chew through his roof. In an effort to drive the squirrel away, his son climbs on the roof to chase it off. While doing so, he unwittingly dislodges a small stone (approximate as a solid cylinder) of mass 3.0 kg and radius 0.20 m that starts from rest at the top of the roof, inclined 30°, and rolls to the bottom without slipping. (For a cylinder I = 0.5MR2) The upper end of the roof is 4.5 m higher than the lower end. Find the linear speed of the cylinder when it reaches the edge of the roof. (Note: I = 0.5MR2
B) To get to the roof, we put up a ladder. Tom's 60.0-kg son is one fourth of the way up the 10.0-m ladder that is resting against the smooth, frictionless wall. If the ladder is at a 60.0° angle with respect to the ground and has a mass of 15.0 kg, what is the force of friction of between the ground and the base of the ladder?