A uniform piece of wood has a length of 6.1m and a weight of 445N. It rests on the ground and leans up against a roller on the corner of a table. There is no friction from the roller to the wood. There is friction from the floor to the wood. The table has a height of 3.05m and the angle of the wood to the horizontal is 70 degrees. What must be the coefficient of static friction between the wood and the floor if this wood is to stay in equilibrium