588 Prof. E. H. Barton on the Lateral 



expected on the basis of rotatory inertia being negligible 

 owing to extreme thinness. 



The bar was supplied by Mr. Joseph Goold of Nottingham, 

 and was excited by Mr. Goold's synchronized generators. 

 These consist of rods of cane in a massive metal handle, and 

 are adjustable in length to suit the frequency of the tone to 

 be elicited. The bar rests on rubber pads at one pair of nodes., 

 the generator is passed lightly along it between two con- 

 secutive nodes and, when rightly adjusted and handled, the 

 required tone is then powerfully brought forth. The exact 

 positions of the nodes for each tone were indicated by chalk 

 or (preferably) carbonate of magnesia. 



Table III.- 



—Actual Free-Free Bar compared with Theory. 



No. of 

 Tone. 



Frequencies. 



Distance of Nodes from one end as fractions of 



entire length. 



(Theoretical Values in brackets.) 



Absolute. 



Relative. 



1 



per second. 



126 



(126-03) 



1 



0-2236, 0-777. 

 (-2242) 





2 



350 



2-7777 

 (2-756) 



5-4444 

 (5-404) 



0-134, -504, -8698. 

 (•132) (-5) 





3 



686 



0-095, -359, -6506, -909. 



(-0944) (-3558) 





4 



1134 



9-0000 

 (8-933) 



0-0759, -2812, -5067, '727, '9282. 

 (-0734), (-277) (-5) 





5 



1696 



134603 



(13-345) 



•063, -2317, -415, -596, -778, -94. 

 (-0601) (-2265) (-409) 





6 



2366 



18-7777 



005285, -1951, -351, -505, -658, -812, -950. 

 (-0509) (-192) (-346) (-5) 



7 



3150 



25-0000 



0-046 -168, -306, -4376 -575, '706, -837, 956. 





(-044) (-166) (-300) (-43) 



Fixed-Free Bar. — Let the bar be fixed at x = and free 

 at oo = l. Then we have to determine the constants in 

 equation (15) consistently with (6) in Table I. for # = and 

 with (7) for x=-l 



