tructed as shown. The horizontal bar ecting half way up the ladder. A 47 kg painter ds on the ladder a distance 4 m from the of the ladder. The length of the ladder 6 m, and the legs of the ladder are 8 m the two legs of the ladder is piv- t on the floor. 8m ind the tension in the horizontal bar. T eleration of gravity is 9.8 m/s². Assu floor is frictionless and that the lad trian 4 m

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter7: Dry Friction
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Problem 7.81P: Calculate the horizontal force P required to push the 85-lb lawn mower at constant speed. The center...
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A stepladder has negligible weight and is constructed as shown. The horizontal bar connecting the two legs of the ladder is pivoted half way up the ladder. A 47kg painter stands on the ladder a distance 4m from the foot of the ladder. The length of the ladder is 6.6m and the legs of the ladder are 8m apart on the floor. 
a) find the tension in the horizontal bar. The acceleration of gravity is 9.8m/s^2. Assume the floor is frictionless and that the ladder is symmetric and forms an isosceles triangle. Treat each half of the ladder separately. 
b) find the normal force on the left hand leg of the ladder and right hand leg of the ladder

c) find the magnitude of the x and y component of the reaction force at the hinge that the left half of the ladder exerts on the right half. 

tructed as shown. The horizontal bar
ecting
half way up the ladder. A 47 kg painter
ds on the ladder a distance 4 m from the
of the ladder. The length of the ladder
6 m, and the legs of the ladder are 8 m
the two legs of the ladder is piv-
t on the floor.
8m
ind the tension in the horizontal bar. T
eleration of gravity is 9.8 m/s². Assu
floor is frictionless and that the lad
trian
4 m
Transcribed Image Text:tructed as shown. The horizontal bar ecting half way up the ladder. A 47 kg painter ds on the ladder a distance 4 m from the of the ladder. The length of the ladder 6 m, and the legs of the ladder are 8 m the two legs of the ladder is piv- t on the floor. 8m ind the tension in the horizontal bar. T eleration of gravity is 9.8 m/s². Assu floor is frictionless and that the lad trian 4 m
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