mechanical baseball launcher project
TRANSCRIPT
7/25/2019 Mechanical Baseball Launcher Project
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Design and assumptions
For this design,
1. The links of the machine can be considered to be extra lubed, thus friction
can be neglected.
2. The baseball is also lubed such that drag does not affect its trajectory
through the air; the speed is constant.
3. ar!"ink 1 is stationary.
#. $hen adjusting for trajectory, the entire machine mo%es &ith bar 1.
'. The baseball &ill be launched at the point &hen (# is at )* degrees +Fig. 2
&ith respect to (1.-. The bar on the far right side is one solid, rigid link.
. $hen locked in, the trigger &ill compress the torsional spring a certain angle
defined by (spring +Fig. 2.
/. The adjustable preload for speed control is adjusted by mo%ing the trigger
and trigger arm to the left to tighten the spring back by some %alue. Thus,
the torsional spring, &hen tightened, &ill be released &ith the energy stored
by a compression of (spring 0 (2start (2end. $e &ill compute &hich
angles gi%e &hich %elocities.
). $hen (spring 0 *, the ball &ill launch at #* mph. The maximum allo&ed
(spring &ill launch the ball at /* mph.
For the materials of the baseball launcher, each bar is composed of solid metal
cylinders; specifically aluminum &ith a density of *.*)/ lb!in3. The diameter of
each link &ill be 1 inch. The baseball &ill ha%e a radius of 1.' inches and &eigh #
ounces as specified.
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The follo&ing &ritten pages sho&s the &ork for deri%ing the euations
needed for the design to select the proper torsional spring, as &ell as the angles
needed to launch the ball at specific %elocities. The 4atlab code uses the deri%ed
euations to compute the spring constant and angles needed to launch the ball at
specific %elocities gi%en &hate%er chosen lengths. 5arious lengths &ere trialed
before settling on these to maximi6e efficiency.
Conclusions and Comparison to the simple ball launcher design
From the results it can be determined that a %ery strong spring &ill be
needed. 7riginally, steel #2* +bla6e it &as used for the material of the bars and the
spring constant &as o%er one million. 8fter aluminum &as used instead, the spring
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constant dropped by --9. 8lso, %arying the arm lengths also helps &ith the
efficiency of the machine. 5arious arm lengths &ere tried and the spring constant
needed &as lo&ered further to its current %alue in the 4atlab code. There is
probably an e%en more efficient combination of bar lengths then the lengths
chosen.
:n comparison to the single bar ball launcher; there are ad%antages and
disad%antages to both. For one, &eight The &eights of the single bar launcher is
much less than that of the # bar launcher; this &ould result in less &ork needed to
produce the same amount of ball %elocity. There is also a snubber in the one bar
design &hich &ould allo& some lee&ay in the calculation of the spring constant,
since the snubber can effecti%ely stop the spring before it tra%els the full distance
&ithout the stop.