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Impact is often called mechanical shock, referring to an extreme abruptly applied force It is a velocity shock transient force Impact phenomena are especially important to the designer since in all machines the highest forces and stresses arise as a consequence of impact In cam-follower systems the impact forcing functions are not precisely known Thus, the design for these forces requires an approximation of the idealized functions of velocity changes on impact As stated, practical design data for impact calculation are not directly available, necessitating a larger design safety factor in considering its effects Impact or velocity shock factors have a load ampli cation factor of two to four times the static force values This is discussed in the cam action discussion of Chap 10 in which a bump on the cam pro le is a discontinuity in the velocity curve, producing an impact in the follower For more on impact see Barkan (1996) and Zuleas (1982) For more precise data on impact the designer could resort to experimental measurement employing such powerful tools as strain gauges, high-speed photography, and velocity and motion transducers The sources of impact in cam-follower mechanisms could be the result of: (a) backlash in a positive-drive cam and roller follower, (b) high-speed systems which are nonlinearly elastic so that abrupt changes occur with results similar to impact, and (c) the working load action as a cam-driven punching mechanism To minimize impact, the following is suggested, if possible: (a) minimize the velocity of impact, (b) minimize the mass of impacting bodies, and (c) minimize sensitivity to local stress concentrations by employing a ductile material with some capacity for plastic deformation

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The GetEnumerator( ) method operates on data of type T and returns an IEnumerator<T> enumerator Thus, the iterator defined by MyClass can enumerate any type of data

Approach 2: Assume Zero Tire Mass Assume that the tire has no mass so that the system takes the form of Fig 113c Neither the tire mass nor its degree of freedom are necessary for modeling, but the tire stiffness does in uence the system through an equivalent stiffness of the springs in series (discussed in Section 11432) de ned by

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You Try It: Any book of tables (see [CRC]) will tell you that the volume of a right circular cone of base radius r and height h is 1 r 2 h This formula is consistent 3 with the result that we obtained in the last example for r = 3 and h = 6 Use the technique of Example 81 to verify this more general formula EXAMPLE 82

C# 30 includes a new feature called the collection initializer, which makes it easier to initialize certain collections Instead of having to explicitly call Add( ), you can specify a list of initializers when a collection is created When this is done, the compiler automatically calls Add( ) for you, using these values The syntax is similar to an array initialization Here is an example It creates a List<char> that is initialized by the characters C, A, E, B, D, and F

List<char> lst = new List<char>() { 'C', 'A', 'E', 'B', 'D', 'F' };

(1113)

After this statement executes, lstCount will equal 6, because there are six initializers, and this foreach loop

A solid has base the unit disk in the x-y plane The vertical cross section at position x is an equilateral triangle Calculate the volume

foreach(ch in lst) ConsoleWrite(ch + " ");

Approach 3: Lump Mass and Stiffness Independently Assume that a single mass and spring are required and independently combine masses and springs into a single equivalent mass and a single equivalent spring using techniques discussed in later sections This is the approach suggested by Chen (1982) for reducing models of cam-follower systems and is illustrated schematically in Fig 113d The equivalent stiffness is again given by Eq (1113) while the equivalent mass is simply the sum of the masses Meq = M + m The natural frequency of the simpli ed system is wn = Keq Meq = 509 rad s = 0940 Hz (1114)

When using a collection such as LinkedList<TK, TV> that store key/value pairs, you will need to supply pairs of initializers, as shown here:

SortedList<int, string> lst = new SortedList<int, string>() { {1, "One"}, {2, "Two" }, {3, "Three"} };

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The compiler passes each group of values as arguments to Add( ) Thus, the first pair of initializers is translated into a call to Add(1, One ) by the compiler Because the compiler automatically calls Add( ) to add initializers to a collection, collection initializers can be used only with collections that support a public implementation of Add( ) Therefore, collection initializers cannot be used with the Stack, Stack<T>, Queue, or Queue<T> collections because they don t support Add( ) You also can t use a collection initializer with a collection such as LinkedList<T>, which provides Add( ) as an explicit interface implementation

SOLUTION Examine Fig 87 The unit circle has equation x 2 +y 2 = 1 For our purposes, this is more conveniently written as y = 1 x 2 ( )

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