A uniform ladder with a mass of 10 kg leans against a vertical, smooth wall making an angle of 60 degrees with a smooth floor as shown in diagram ( I provided the website: www.geocities.com/willydavidjr/ladder.html ) A nail in the floor keeps the ladder from slipping while a man (mass = 80 kg) climbs three-quarters of the way to the top. THe frictional force of the head of the nail (i.e. the section above the floor) is negligible. Let the gravitational acceleration be 10 m/s^2 and the value of squareroot of 3 = 1.73. a.) Calculate the magnitude of the force exerted on the wall. b.) Calculate the magnitude of the force exerted on the smooth floor. c.) Calculate the magnitude of the horizontal force exerted on the nail. My work: I am really confused with this problem. First I tried the summation of torque be equal to zero, but the problem is, I don't know the height of the wall where the ladder is leaning, and the ladder itself has no distance. What is the connection of the man climbing 3/4 up to the ladder. Please help me and give me advice with these.