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The ladder and the person weigh 30 lb and 180 lb, respectively. The center of mass of the 12-ft ladder is at its midpoint. The coefficient of static friction between the ladder and the floor is 0.50. What is the largest value of the angle ALPHA for which the person could climb to the top of the ladder without it slipping?

The ladder and the person weigh 30 lb and 180 lb, respectively. The center of mass of the 12-ft ladder is at its midpoint. The coefficient of static friction between the ladder and the floor is 0.50. What is the largest value of the angle ALPHA for which the person could climb to the top of the ladder without it slipping?

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The ladder and the person weigh 30 lb and 180 Ib, respectively. The center of mass of the 12-ft ladder is at its midpoint. The coefficient of static friction between the ladder and the floor is 0.50. What is the largest value of the angle ALPHA for which the person could climb to the top of the ladder without it slipping? The ladder and the person weigh 30 lb and 180 Ib, respectively. The center of mass of the 12-ft ladder is at its midpoint. The coefficient of static friction between the ladder and the floor is 0.5 and the coefficient of friction between the ladder and the wall is 0.3. What is the largest value of the angle ALPHA for which the person could climb to the top of the ladder without it slipping?
Transcribed Image Text:The ladder and the person weigh 30 lb and 180 Ib, respectively. The center of mass of the 12-ft ladder is at its midpoint. The coefficient of static friction between the ladder and the floor is 0.50. What is the largest value of the angle ALPHA for which the person could climb to the top of the ladder without it slipping? The ladder and the person weigh 30 lb and 180 Ib, respectively. The center of mass of the 12-ft ladder is at its midpoint. The coefficient of static friction between the ladder and the floor is 0.5 and the coefficient of friction between the ladder and the wall is 0.3. What is the largest value of the angle ALPHA for which the person could climb to the top of the ladder without it slipping?
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