9.1 A ladder of length L, but negligible mass, leans against the side of a house, with the bottom of the latter a distance B from the wall. The coefficient of static friction between the bottom of the ladder and the ground is µs. Assume that the contact interaction between the top of the ladder and the wall is frictionless (but it still exerts a normal force on the ladder). A person of mass m climbs a distance D up the ladder, as shown. (a) Draw a free-body diagram for the ladder. (b) What is the maximum distance Dmax that the person can climb up the ladder before it starts slipping? Express your result in terms of L, B and µs only. Hint: Your result should be independent of m. Check: For B = (3/5)L and µs = 0.5 you should find Dmax (c) Evaluate your result from part (b) for L = 5 m, B = = 0.667L. 2.5 m and %3D %3D µs = 0.4.

9.1 A ladder of length L, but negligible mass, leans against the side of a house, with the bottom of the latter a distance B from the wall. The coefficient of static friction between the bottom of the ladder and the ground is µs. Assume that the contact interaction between the top of the ladder and the wall is frictionless (but it still exerts a normal force on the ladder). A person of mass m climbs a distance D up the ladder, as shown. (a) Draw a free-body diagram for the ladder. (b) What is the maximum distance Dmax that the person can climb up the ladder before it starts slipping? Express your result in terms of L, B and µs only. Hint: Your result should be independent of m. Check: For B = (3/5)L and µs = 0.5 you should find Dmax (c) Evaluate your result from part (b) for L = 5 m, B = = 0.667L. 2.5 m and %3D %3D µs = 0.4.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Equilibrium of Forces

The tension created on one body during push or pull is known as force.

Question

9.1 A ladder of length L, but negligible mass, leans against the side of a
house, with the bottom of the latter a distance B from the wall. The
coefficient of static friction between the bottom of the ladder and the
ground is us. Assume that the contact interaction between the top of
the ladder and the wall is frictionless (but it still exerts a normal force
on the ladder). A person of mass m climbs a distance D up the ladder,
as shown.
(a) Draw a free-body diagram for the ladder.
(b) What is the maximum distance Dmax that the person can climb up
the ladder before it starts slipping? Express your result in terms of L,
B and us only. Hint: Your result should be independent of m.
Check: For B =
(3/5)L and us
(c) Evaluate your result from part (b) for L =
0.5 you should find Dmax
= 0.667L.
5 m, B = 2.5 m and
0.4.

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