702 



BELL SYSTEM TECHNICAL JOURNAL 



TABLE II 



No. 



28 



Admittance Y{p) 

 Illustrative System 

 Cause and Effect 



Cause* Unit Impulse 

 Effect: ^llYip) 



Y(p) = 



sin (tp^) 



Same as 27, except Cause: Initial velocity, 





756 



29 



Y(p) = cos (/Vl - ^2) 



Same as 19, except Cause: Initial dis- 

 placement multiplied by e''^. Effect: 

 Vertical displacement multiplied by e~'' 

 at time t of particle whose undisturbed 

 position is x. 



K^o{x - t) + S>o{x + 0] 



2Vf2 _ ^2 



t < X <t 



871= 



30 



Y{p) = 



sin (/Vl - p") 

 Vl - ^ 



i/o(Vi2 _ ^2)^ 



t < X <t 



Same as 29, except Cause: Initial velocity 

 multiplied by e~^. 



872 



31 



Y(p) = e-lvpl 



Flow of electricity in infinite thin plane, 

 X and y axes in the plane. Cause: Po- 

 tential along X axis. Effect: Potential 

 at point {x, y). 



w 5c2 + y 



632 



32 



Y{p) = cosh {atp) 



Transverse motion of infinite stretched 

 elastic string, axis of x along equilibrium 

 position of string, velocity of propagation 

 along string = a. Cause: Initial dis- 

 placement. Effect: Normal displace- 

 ment of particle at x at time t. 



|[^o(x - at) -f ^o(^ + at)~\ 



6W 



