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// Demonstrate an implicitly typed jagged array using System; class Jagged { static void Main() { var jagged new[] { new[] { new[] { }; = new[] { 1, 2, 3, 4 }, 9, 8, 7 }, 11, 12, 13, 14, 15 }

for(int j = 0; j < jaggedLength; j++) { for(int i=0; i < jagged[j]Length; i++) ConsoleWrite(jagged[j][i] + " "); ConsoleWriteLine(); } } }

where a = phase angle b = clamping factor R = resultant dynamic force F(t) = external driving force Fn = amplitude of nth harmonic of harmonic analysis of F(t) k = system elasticity m = effective mass of cam-follower system from equilibrium position z = de ection of cam-follower system wo = (k)1/2 = natural frequency of system, rad/sec wn = frequency of nth harmonic, rad/sec Examination of the equation shows that resonance occurs at speeds that are multiples of the natural frequency of the system With small b, the value under the square-root sign becomes very small when wo = wn; consequently, the contribution of that member which is in resonance to the complete solution is by far the largest With a given cam-follower system, the magnitude of the response at resonance will depend primarily on the magnitude of the component Fn By performing a harmonic analysis of the forces acting on the system, it is possible to predict the response with a given cam operating at a given speed The principal force acting on the system is the acceleration force Therefore, a harmonic analysis of the acceleration forces produced by a given cam design will give an indication of the performance to be expected In general, any periodic function, provided that it contains no more than a nite number of discontinuities, has a convergent Fourier series that represents it However, the number and extent of the discontinuities have an important bearing on the rapidity of the convergence, ie, the rate at which the harmonics approach zero as n becomes large If a function itself has discontinuities, the coef cients will decrease in general as 1/n, whereas if discontinuities do not exist in the function itself but only in its rst derivative, the coef cients will fall off approximately as 1/n2 Examination of the three acceleration forms considered, namely constant acceleration, simple harmonic, and cycloidal, shows that only the cycloidal is completely continuous It was stated in Mitchell (1950) that the cycloidal curve cam-follower system used has a natural frequency of 1625 cycles per sec At a cam speed of 140 rpm, resonance occurs with the harmonic 9750/140 = 70th harmonic Therefore, we would anticipate that the resonant response of the system to the cycloidal cam pro le would be on the order of 1/70 of the response to the other two pro les at this speed.

6 Click OK 7 At this point you have simply added the user, Jami, for specific access to the Finance group of users However, you have not said what additional rights Jami should have Under the Access Level drop-down next to Jami, set the level to Full Control

The program produces the following output:

1 2 3 4 9 8 7 11 12 13 14 15

EXAMPLE A closed-track radial cam turning once every 4 sec operates a roller follower on a push rod This rod moves a rocking lever and, by means of a connecting link, a sliding table weighing 185 lb Some basic dimensions of the roller follower displacement from dwell to dwell are shown in Table 121 The strength of the connecting members are: under 100 lb of compressive load, the push rod de ects 00012 in, the connecting link 00165 in, and the rocking lever bends 0237 in The masses of these members are small in comparison with the table While the cam is operating, a troublesome chatter develops in the table Find the cause Note: it is recognized that the machine is very old and the cam surface is worn and has serious surface imperfections