8. A ladder leans against a wall at an angle 0 with the wall. The top of the ladder is round and smooth so as to not make a mark on the smooth wall. The feet at the bottom of the ladder do have friction. The ladder is uniform, of length L and weight w, and the painter climbing the ladder has weight 10w. Assume that the distance along the ladder that the painter can achieve before the ladder slips is aL, where a is a number between 0 and 1. A) Show that a = [(1.1µ/Tan(e) - 1/20]. B) In order for the painter to be able to stand at the top of the ladder, show that Tan(0)=1.05µ. C) Are the answers to A) and B) minimums or maximums. BRIEFLY explain which and why. D) How could you change the design of the ladder to make it safer? Explain.

8. A ladder leans against a wall at an angle 0 with the wall. The top of the ladder is round and smooth so as to not make a mark on the smooth wall. The feet at the bottom of the ladder do have friction. The ladder is uniform, of length L and weight w, and the painter climbing the ladder has weight 10w. Assume that the distance along the ladder that the painter can achieve before the ladder slips is aL, where a is a number between 0 and 1. A) Show that a = [(1.1µ/Tan(e) - 1/20]. B) In order for the painter to be able to stand at the top of the ladder, show that Tan(0)=1.05µ. C) Are the answers to A) and B) minimums or maximums. BRIEFLY explain which and why. D) How could you change the design of the ladder to make it safer? Explain.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

8. A ladder leans against a wall at an angle 0 with the wall. The
top
of the ladder is round and smooth so as to not make a mark on
the smooth wvall. The feet at the bottom of the ladder do have
friction. The ladder is uniform, of length L and weight w, and the
painter climbing the ladder has weight 10w. Assume that the
distance along the ladder that the painter can achieve before the
ladder slips is aL, where a is a number between 0 and 1. A) Show
that a = [(1.1µ/Tan(e) - 1/20]. B) In order for the painter to be
able to stand at the top of the ladder, show that Tan(e) = 1.05µ. C)
Are the answers to A) and B) minimums or maximums. BRIEFLY
explain which and why. D) How could you change the design of
the ladder to make it safer? Explain.

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