A 6-m long ladder has a mass of 10 kg, and its center of  gravity is 2.4 m from the bottom along the ladder. The ladder is resting on a 5° upward sloping floor at A and on a wall inclined to the right at 5° from the vertical at B, so that it makes an angle of 60° with the horizontal. How far up along the ladder can a 70 kg man climb before the ladder is on the verge of slipping? The angle of friction at all contact surfaces is 15°. Also determine the total reaction at A and B in Newton. Point A is at the left of point B.

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Author:Raymond A. Serway, John W. Jewett
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Chapter12: Static Equilibrium And Elasticity
Section: Chapter Questions
Problem 12.14P: A uniform ladder of length L.and mass m1 rests against a frictionless wall. The ladder makes an...
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A 6-m long ladder has a mass of 10 kg, and its center of  gravity is 2.4 m from the bottom along the ladder. The ladder is resting on a 5° upward sloping floor at A and on a wall inclined to the right at 5° from the vertical at B, so that it makes an angle of 60° with the horizontal. How far up along the ladder can a 70 kg man climb before the ladder is on the verge of slipping? The angle of friction at all contact surfaces is 15°. Also determine the total reaction at A and B in Newton. Point A is at the left of point B. 

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