The computer circu it fo r these equations is shown in Figure 33.
im eg
.
3L
CIRCUIT FOR SIMULTANEOUS EQUATIONS
The values of x and y are read on the meter.
Control A is set so that the voltage drop between the center lugs and ground is 1/3 the voltage
drop a cro ss the control. Control B is set so that the voltage drop between the center lug and
ground is 1/5 the voltage drop a cro ss the control. Controls C and D are likewise set for 1/2
and 1/5 the total voltage respectively.
PROJECTILE PROBLEM
A variation of the falling body problem is to fire a projectile upward at an angle from the h ori
zontal and see the path on the oscillo sco p e . * Air resistance may be introduced also. Thus the
effects of the initial velocity, gravity and air resistan ce may be observed.
In the X direction, the equation of motion is
with
= V
at
T = 0
d » 2
M d t
d t
o x i
and the equation in the Y direction is
^ = - , - - ^ 1 1 w l t h 4 ± = V ov
at T = o
d » 2
M
M d t
d t
° V
*The setup of this problem is presented here through the courtesy of P rof. Harry F. Meiners of
the Department of Physics, R ensselaer Polytechnical Institute, Troy, New York.
Page 27
