A 6-m long ladder has a mass of 15' 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 75-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. Note: Point A is at the left of point B.

A 6-m long ladder has a mass of 15' 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 75-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. Note: Point A is at the left of point B.

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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Question

A 6-m long ladder has a mass of 15' 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 75·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. Note: Point A is
at the left of point B.

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