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These results are used in deriving the synthesis equations of the cam pro le (Angeles and Lopez-Caj n, 1991) 722 Pressure Angle The direction of the tangent to the cam pro le, given by the angle g between the tangent and the radius vector r, is used to determine the pressure angle of the pro le This variable can be de ned as the angle between the normal to the cam pro le and the velocity of the point of the follower at which the force exerted by the cam is applied Let us assume in this discussion that the velocity of the point of interest is parallel to line L, which is shown in Fig 72, the normal to the cam pro le being denoted by N Since we assume L to be known, we know the angle between L and line OP, called m here With this information, we should be able to calculate the pressure angle a in terms of g and m In fact, from Fig 72, if the difference D between m and a is subtracted from g, the angle between N and T is obtained, which is p/2, ie, g -D =p 2 where D = m -a and hence, a= p - (g - m ) 2

Interface ICollection IComparer IDictionary IDictionaryEnumerator IEnumerable IEnumerator IEqualityComparer IHashCodeProvider IList Description Defines the elements that all non-generic collections must have Defines the Compare( ) method that performs a comparison on objects stored in a collection Defines a collection that consists of key/value pairs Defines the enumerator for a collection that implements IDictionary Defines the GetEnumerator( ) method, which supplies the enumerator for a collection class Provides methods that enable the contents of a collection to be obtained one at a time Compares two objects for equality Declared obsolete Use IEqualityComparer instead Defines a collection that can be accessed via an indexer

Part II:

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Because ICollection inherits IEnumerable, it also includes the sole method defined by IEnumerable: GetEnumerator( ), which is shown here: IEnumerator GetEnumerator( ) It returns the enumerator for the collection Because ICollection inherits IEnumerable, three extension methods are defined for it They are AsQueryable( ), Cast( ), and OfType( ) AsQueryable( ) is declared in SystemLinqQueryable Both Cast( ) and OfType( ) are declared in SystemLinqEnumerable These methods are designed primarily to support LINQ, but may be useful in other contexts

which is the desired relation Expressions for m vary from case to case, but the principle is the same In particular, m depends on the angle of rotation of the cam, y, and the position of the follower, whether translational or angular

The IList interface declares the behavior of a non-generic collection that allows elements to be accessed via a zero-based index It inherits ICollection and IEnumerable In addition to the methods defined by ICollection and IEnumerable, IList defines several of its own These are summarized in Table 24-2 Several of these methods imply the modification of a collection If the collection is read-only or of fixed size, then these methods will throw a NotSupportedException Objects are added to an IList collection by calling Add( ) Notice that Add( ) takes an argument of type object Since object is a base class for all types, any type of object can be stored in a non-generic collection This includes the value types, because boxing and unboxing will automatically take place You can remove an element using Remove( ) or RemoveAt( ) Remove( ) removes the specified object RemoveAt( ) removes the object at a specified index To empty the collection, call Clear( )

Method int Add(object obj) void Clear( ) bool Contains(object obj) int IndexOf(object obj) void Insert(int idx, object obj) void Remove(object obj)

723 Cam Curvature The shape of a planar curve G depends on the rate of change of the direction of its tangent with respect to the arc length, a measure that is called the curvature of G, and designated hereafter as k This variable plays an important role in the design of cam mechanisms, for it is directly related to the occurrence of cusps and the already mentioned effect known as undercutting The reciprocal of the curvature k is the radius of curvature r, ie, r= 1 k (79)

x= 2

Description Adds obj into the invoking collection Returns the index at which the object is stored Deletes all elements from the invoking collection Returns true if the invoking collection contains obj Returns false if obj is not in the collection Returns the index of obj if obj is contained within the invoking collection If obj is not found, 1 is returned Inserts obj at the index specified by idx Elements at and below idx are moved down to make room for obj Removes the first occurrence of obj from the invoking collection Elements at and below the removed element are moved up to close the gap Removes the object at the index specified by idx from the invoking collection Elements at and below idx are moved up to close the gap

void RemoveAt(int idx)

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