A painter wishes to know whether or not he can safely stand on a ladder. The ladder has a mass M1 = 10 kg which is uniformly distributed throughout its length L = 7.1 m. The ladder is propped up at an angle theta = 49o. The coefficient of static friction between the ground and the ladder is mus = 0.49, and the wall against which the ladder is resting is frictionless. Calculate the maximum mass of the painter for which the ladder will remain stable when he climbs a distance d = 5.5 m up the ladder. If the painter does not stand on the ladder, what is the minimum angle theta for which the ladder will remain stable?

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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A painter wishes to know whether or not he can safely stand on a ladder. The ladder has a mass M1 = 10 kg which is uniformly distributed throughout its length L = 7.1 m. The ladder is propped up at an angle theta = 49o. The coefficient of static friction between the ground and the ladder is mus = 0.49, and the wall against which the ladder is resting is frictionless. Calculate the maximum mass of the painter for which the ladder will remain stable when he climbs a distance d = 5.5 m up the ladder. If the painter does not stand on the ladder, what is the minimum angle theta for which the ladder will remain stable?

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