A 6-m long ladder has a mass of 13 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 78-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.

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter8: Rotational Motion
Section: Chapter Questions
Problem 90A
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A 6-m long ladder has a mass of 13 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 78-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.
Transcribed Image Text:A 6-m long ladder has a mass of 13 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 78-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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