182 



BENJ. PIKE S, JR., DESCRIPTIVE CATALOGUE. 



be added to them, it will preponderate, and in its descent will 

 describe sjiaces which are as the squares of the times of falling 

 from rest. 



The equal weights are, in the present case, each equal 

 26 m, and the additional weight applied as a force to com- 

 municate motion m. Then the mass moved is m -f 52 m + 

 the inertia of the wheels 11 m, making in all 64 m. Now it 

 will be seen, that the preponderating weight descending 

 from quiescence during 1, 2,3, seconds, describes in the first 

 second, 3 inches ; in two seconds, 3 X 4 or 12 inches; in 

 three seconds 3X9 or 27 inches ; the spaces being respec- 

 tively as the squares of the time of motion. 



To prove this, fix the stage to 3 on the graduated scale, 

 bring the under surface of the piece, A, to coincide with o, on 

 the scale, and let it fall at a beat of the pendulum, and you 

 will find it strike the stage when the pendulum beats again ; 

 it has done so, having passed through three inches in one 

 second. We shall now place the stage at 12 inches, and the 

 weight will strike it exactly at the second second ; when 

 placed at 27, the stroke of the weight will coincide with the 

 third second. 



We subjoin a table of some experiments of the same kind, 

 which will rivet the theory more perfectly on the mind, and 

 render it more easy of application to particular cases. Let 

 A hold 36.3-4?^; B, 36. 1-4 m. The spaces described, &c. 

 will be as in the following table. 



A TABLE. 



If different forces be successively applied to accelerate 

 equal quantities of matter from quiescence, the spaces describ- 

 ed in any given time will be in the same proportion with the 

 force*. 



