A uniform ladder is 10 m long and weighs 200 N. , the ladder leans against a vertical, frictionless wall at height h = 8.0 m above the ground. A horizontal force is applied to the ladder at distance d = 2.0 m from its base (measured along the ladder). (a) If force magnitude F = 50 N, what is the force of the ground on the ladder, in unit-vector notation? (b) If F = 150 N, what is the force of the ground on the ladder, also in unit-vector notation? (c) Suppose the coefficient of static friction between the ladder and the ground is 0.38; for what minimum value of the force magnitude F will the base of the ladder just barely start to move toward the wall?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 31PQ: A wooden door 2.1 m high and 0.90 m wide is hung by two hinges 1.8 m apart. The lower hinge is 15 cm...
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A uniform ladder is 10 m
long and weighs 200 N. , the ladder leans against
a vertical, frictionless wall at height
h = 8.0 m above the ground. A
horizontal force is applied to the
ladder at distance d = 2.0 m from
its base (measured along the ladder).
(a) If force magnitude F = 50
N, what is the force of the ground
on the ladder, in unit-vector notation?
(b) If F = 150 N, what is the
force of the ground on the ladder,
also in unit-vector notation? (c) Suppose the coefficient of static
friction between the ladder and the ground is 0.38; for what minimum
value of the force magnitude F will the base of the ladder
just barely start to move toward the wall?

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