Physics for Scientists and Engineers
Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 12, Problem 5P
To determine

To Explain:The reason the higher above the ground a sign is mounted, the farther the posts should extend into the ground.

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A 4-m-high, 5-m-wide rectangular plate blocks the end of a 4-m-deep freshwater channel, as shown in Fig. The plate is hinged about a horizontal axis along its upper edge through a point A and is restrained from opening by a fixed ridge at point B. Determine the force exerted on the plate by the ridge.
A parking garage is designed for two levels of cars. To make more money, the owner decides to double the size of the gar- age in each dimension (length, width, and number of levels). For the support columns to hold up four floors instead of two, how should he change the columns’ diameter? (a) Double the area of the columns by increasing their diameter by a factor of 2. (b) Double the area of the columns by increasing their diameter by a factor of V2. (c) Quadruple the area of the columns by increasing their diameter by a factor of 2. (d) Increase the area of the columns by a factor of 8 by increasing their diameter by a factor of 2V2. (e) He doesn't need to increase the diameter of the columns.
You have been warned to  set up a ladder with its base about 1/4 of its length from the wall.   However, since there are some things stored next to the wall you decide to ignore the advice and  set the base of the ladder out half its length from the wall instead.   The ladder is sitting on slippery old snow but It still  feels safe when you start up to clear your gutters after a week of storms. After you climb on you have added your weight to the ladder.   Which of these is a likely result?       You go about halfway up, the bottom starts to slip away from the wall as you lean forward to hold on, the ladder rotates faster and falls down completely.     You go up one rung and the base slips away from the wall.       Nothing happens.  It cannot slip once you are on it because your weight  increases the friction.     It slips a little when you first get on, so a friend adds weight to the base.  Once you are near the top it is very stable and cannot slip.
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