2a h 130 The diagram shows a ladder AB, of length 2a and mass m, resting in equilibrium on a vertical wall of height h. The ladder is inclined at an angle of 30° to the horizontal. The end A is in contact with horizontal ground. An object of mass 2m is placed on the ladder at a point C where AC = d. The ladder is modelled as uniform, the ground is modelled as being rough, and the vertical wall is modelled as being smooth. (a) Show that the normal contact force between the ladder and the wall i - mg(a+2d)/3 4h It is given that the equilibrium is limiting and the coefficient of friction between the ladder and the ground is V3. (b) Show that h = k(a+2d), where k is a constant to be determined.

2a h 130 The diagram shows a ladder AB, of length 2a and mass m, resting in equilibrium on a vertical wall of height h. The ladder is inclined at an angle of 30° to the horizontal. The end A is in contact with horizontal ground. An object of mass 2m is placed on the ladder at a point C where AC = d. The ladder is modelled as uniform, the ground is modelled as being rough, and the vertical wall is modelled as being smooth. (a) Show that the normal contact force between the ladder and the wall i - mg(a+2d)/3 4h It is given that the equilibrium is limiting and the coefficient of friction between the ladder and the ground is V3. (b) Show that h = k(a+2d), where k is a constant to be determined.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter10: Virtual Work And Potential Energy

Section: Chapter Questions

Problem 10.46P: The uniform bar AB of weight W and length L is pinned to a sliding collar at A and to the sliding...

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