A 19:5 kg person climbs up a uniform 80:6 N
ladder. The upper and lower ends of the
ladder rest on frictionless surfaces. The bot-
tom of the ladder is fastened to the wall by
a horizontal rope that can support a maxi-
mum tension of 52:1 N: The angle between
the horizontal and the ladder is 69± :
The acceleration of gravity is 9:8 m=s2 :
19:5 kg T
2:7 m 80:6 N
8:1 m
69±
Note: Figure is not to scale.
Find the tension in the rope when the per-
son is one-third of the way up the ladder; i.e.
µ8:1 m
3
= 2:7 m¶ : Answer in units of N.