A 16.3 kg person climbs up a uniform 137 N ladder. The upper and lower ends of the ladder rest on frictionless surfaces. The bottom
of the ladder is fastened to the wall by a horizontal rope that can support a maximum tension of 116 N . The angle between the horizontal and the ladder is 52◦.
A) Find the tension in the rope when the person is one-third of the way up the ladder. The acceleration of gravity is 9.8 m/s2.
B)Find the maximum distance dmax the person can climb up the ladder before the rope breaks.