WOLFRAM|DEMONSTRATIONS PROJECT

Forces Acting on a Ladder

​
height of ladder
0.3
w
L
=300 N
w
m
=800N
L=3m
d=1.25m
θ=1.120
F=H=298.700 N
μ
s
=0.271514
A man of weight
w
m
(blue arrow) climbs a ladder of length
L
and weight
w
L
placed against a wall at an angle
θ
. Vary the height of the ladder to see the forces acting on this system.
The weight of the ladder is taken to be at its geometrical center
L/2
(red arrow), the ground exerts a reaction force (brown arrow) on the ladder, and a frictional horizontal force
H
(yellow arrow) stops the ladder from slipping along the ground. Additionally, there is a force
F
at the top of the ladder normal to the wall (orange arrow, between the arms of the man).