A uniform ladder of weight W and length 2a rests in limiting equilibrium with one horizontal ground and the other end on a rough vertical wall. The coefficients of friction between the ladder and theground and between the ladder and the wall are u and d respectively. If the ladder makees an angle 0 with the grðund, where tan 0 = 12 (a) show that 5u + 62µ – 6 = 0, (b) find the values of u and 2, given that Au

A uniform ladder of weight W and length 2a rests in limiting equilibrium with one horizontal ground and the other end on a rough vertical wall. The coefficients of friction between the ladder and theground and between the ladder and the wall are u and d respectively. If the ladder makees an angle 0 with the grðund, where tan 0 = 12 (a) show that 5u + 62µ – 6 = 0, (b) find the values of u and 2, given that Au

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Static Equilibrium And Elasticity

Section: Chapter Questions

Problem 40AP: A stepladder of negligible weight is constructed as shown in Figure P12.40, with AC = BC = = 4.00...

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A stepladder of negligible weight is constructed as shown in Figure P12.40, with AC = BC = = 4.00 m. A painter of mass m = 70.0 kg stands on the ladder d = 3.00 m from the bottom. Assuming the floor is frictionless, find (a) the tension in the horizontal bar DE connecting the two halves of the ladder, (b) the normal forces at A and B, and (c) the components of the reaction force at the single hinge C that the left half of the ladder exerts on the right half. Suggestion: Treat the ladder as a single object, but also treat each half of the ladder separately. Figure P12.40 Problems 40 and 41.
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