A uniform ladder of length 7m and mass 15kg, rests in limiting equilibrium against a smooth vertical wall, while its lower end is on a rough horizontal surface. The ladder is inclined at an angle of 60° to the horizontal surface. The coefficient of friction between the ladder and the horizontal surface is 0.3. A boy of mass 25kg climbs up the ladder. Find out how high up the ladder the boy can climb without it slipping.

A uniform ladder of length 7m and mass 15kg, rests in limiting equilibrium against a smooth vertical wall, while its lower end is on a rough horizontal surface. The ladder is inclined at an angle of 60° to the horizontal surface. The coefficient of friction between the ladder and the horizontal surface is 0.3. A boy of mass 25kg climbs up the ladder. Find out how high up the ladder the boy can climb without it slipping.

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 P10.73, with AC = BC = ℓ. A painter of mass m stands on the ladder a distance d 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 P10.73 Problems 73 and 74.
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