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Copyright 2005 by The McGraw-Hill Companies, Inc. Click here for terms of use.
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CHAPTER 2 Mechanical Forces
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Fig. 2-1. Pushing a brick.
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Fig. 2-2. The brick keeps moving on ice.
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Even something as simple as a agpole (Fig. 2-3) is about force. What does the pole do except hold up the ag against gravity, and keep it from blowing away in the wind Notice how these forces are all exactly balanced and the ag, except for its apping, doesn t go anywhere. This chapter introduces the important mechanical forces that we shall be working with. This is an important chapter, because we use these ideas and terms in later chapters as we describe machines. We also introduce a new way of thinking about numbers. Numbers are just numbers, right And these numbers are used to describe things like the weight and length of an object, or the time it takes to cook a cake.
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CHAPTER 2 Mechanical Forces
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Fig. 2-3.
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Flagpole forces.
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However, when you push something, you are pushing it in a particular direction. On a at desk, this direction needs two numbers to describe it and together these two numbers, which each measure one piece of the direction, are called a vector. Directionless numbers, like time, are called scalars.
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There are many di erent kinds of energy. The two we are interested in here are kinetic energy and potential energy. There is no such thing as energy. While an object can have energy, nothing can be energy. Even light and electricity are not energy. So what is energy Kinetic energy is the energy of an object in motion. Kinetic energy is de ned in terms of the object s speed, or velocity, and how much stu is in the object, or its mass. Mass is typically felt as an object s weight. Potential energy is when an object doesn t have kinetic energy yet, but could if it fell o the shelf. There are di erent kinds of potential energy.
CHAPTER 2 Mechanical Forces
This type of energy is stored in the object, as height above ground, in the stretch of a spring, or in a chemical reaction waiting to happen. We ll come back to these energies in a minute. First we need to de ne a few more fundamental concepts. Once we start putting these concepts together into mathematical equations, the names are going to get a bit bulky. Instead of using names, we identify each concept by its symbol. We shall be using one- and two-letter symbols for most terms, and sometimes these symbols are even going to be English letters. Greek letters, however, are very popular in math, so hopefully they don t scare you too much. Note that we use the for our multiplication symbol and division is represented by / or, more often, by placing n the numerator above the denominator like . d Not only do we get new symbols to refer to things by, but these symbols are de ned in particular units, which have their own symbols. You are already familiar with many units. For example, time can be measured in seconds, distance in inches, and weight in pounds.
Units of Measurement
Mechanics is a form of applied physics, and physicists don t always use the units of measurement that we are familiar with. Before we de ne kinetic energy, let s detour through the basic units we need to know. We look at both the metric and English systems of units here, to get a feel for how they relate. We use metric for all of our actual work. Units can be confusing. Even the names for the systems of units can be confusing! What we often call metric units are more correctly called the International System of Units, or SI from the French Syste`me International d Unite s. English units are also known as Imperial units, after the British Empire. Ironically, the United Kingdom has now moved almost entirely over to metric. We aren t even going to think about the third system of measurement, Chinese units or Sh `zh `.
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