A lot was accomplished this past week. In
addition to making additional purchases of electronics (such as
extension cords and speakers). Numerous hours were spent in the
machine shop turning the theoretical design into physical reality.
Along the way, sometimes it became clear that an idea would not work
in practice as well as it did in theory; the lift was determined to
be too opposed by friction when it enclosed its vertical columns, it
was decided instead to place it between the vertical columns and the
backboard.
Servos were also mounted to the inner top of the frame. To do
this, the servos were screwed to wooden blocks, which were screwed to
the main frame to act as extrusions. The current plan is to attach
plastic spools to their rotary disks and have them spin continuously,
pulling or releasing the lift by way of nylon string, but
implementation has not yet occurred as the jumping mechanism has not
yet been printed to the point of being functional. The servo
configuration can be seen below.
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The servo is attached to wooden blocks, which are attached to the frame |
Furthermore, the physical ball conveyor also underwent its initial
construction. This conveyor was discussed in the previous update:
essentially, it acts similarly to an Archimedes screw, forcing the
balls up a locked channel by seating them on a rotating helix. A
brief mechanical simulation of this technique can be seen in the
below video. (Full screen viewing is recommended, as the video is small otherwise.)
The placement of this conveyor can be seen in the
picture below; it should be noted that this picture is a rough
initial positioning, and does not display the channel through which
the ball will travel or the servo which will rotate the helix.
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Estimated and unsecured location of conveyor |
In order to be sure that the servos
ordered were sufficient for the project's purpose, some calculations
were carried out.
The first calculation determined if the
servos would be able to raise the player lift beam. The
specifications for the servo were given by the manufacturer that,
stating that the device's torque was 3 kg*cm; the mass of the wooden
lift beam was 0.4 kg, as calculated with the wood's density and
dimensions (and inflated somewhat to ensure that the servo was more
than sufficient).
Since τ = F x r, r =
τ/F, in which r gives the maximum possible radius of the
pulley. Plugging in the values results in (3 kg*cm)/(0.4 kg) = 7.5
cm. As the servo radius pulley is much smaller than this, it should
be capable of the task at hand.
The second calculation dealt with
determining the length of tubing needed to build the conveyor ball
lift. Given that the tubing (radius = 3/16 inches) will be wrapped
around a 2-foot shaft (radius = 5/16 inches) at a rate of 1
coil/inch, the total radius (Rt)of the device is (5/16 + 3/16)
inches = 1/2 inch. Since the number of coils = (2 ft)/(1 in) = 24
coils, the total needed tubing length = (2πRt)*(number of coils)
= (2π)*(1/2 inch)*(24) = 75.4 inches, or 6.3 feet.
It was initially expected to need 25 feet
of tubing; however, by doing these calculations, an appreciable sum
was saved by reducing the order to 10 feet of tubing.