A uniform ladder with mass m2 = 14kg and length L= 3.2m rests,against a smooth wall. A do-it-yourself enthusia of mass mi = 70kg stands on the ladder a distance d = 1.2m from the bottom (measured along the ladder.) There is no friction between the wall and the ladder, but there is a frictional force, with u, =0.25, between the floor and the ladder. Ni is the magnitude of the normal force exerted by the wall on the ladder, and N2 is the magnitude of the normal force exerted by the ground on the ladder. %3D

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter10: Rotational Motion
Section: Chapter Questions
Problem 74P: A stepladder of negligible weight is constructed as shown in Figure P10.73, with AC = BC = ℓ. A...
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Challenge Problem #8: Torque and Equilibrium
A uniform ladder with mass m2 = 14kg and length L= 3.2m rests.against a smooth wall. A do-it-yourself enthusiast
of mass mi = 70kg stands on the ladder a distance d= 1.2m from the bottom (measured along the ladder.) There is
no friction between the wall and the ladder, but there is a frictional force, with u, = 0.25, between the floor and the
ladder. Ni is the magnitude of the normal force exerted by the wall on the ladder, and N2 is the magnitude of the
normal force exerted by the ground on the ladder.
What angle 0, will cause the static friction with the floor to be maximized? Will the ladder start to slip when the
angle is made larger, or smaller than this borderline value?
Transcribed Image Text:Challenge Problem #8: Torque and Equilibrium A uniform ladder with mass m2 = 14kg and length L= 3.2m rests.against a smooth wall. A do-it-yourself enthusiast of mass mi = 70kg stands on the ladder a distance d= 1.2m from the bottom (measured along the ladder.) There is no friction between the wall and the ladder, but there is a frictional force, with u, = 0.25, between the floor and the ladder. Ni is the magnitude of the normal force exerted by the wall on the ladder, and N2 is the magnitude of the normal force exerted by the ground on the ladder. What angle 0, will cause the static friction with the floor to be maximized? Will the ladder start to slip when the angle is made larger, or smaller than this borderline value?
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