Everyone has seen how the car windscreen wipers sweep the
water away quickly But did you ever think about how they work? There is only one
fixed point, it is attached to the long arm of a lever with a brush that adheres
to the glass. If there is an engine that can operate this mechanism, it must
turn in one direction, then stop suddenly and turn in the opposite direction.
But how it is actually built on the wiper mechanism? If you open the hood you
can see that the wiper motor always rotates in the same way, all the time when
it is activated. But it is a planar hinge mechanism, called windscreen
trapezoid, that rotates now in one direction, now in the opposite one. What is a
planar hinges mechanism? In short, it is made of bars of different lengths
arranged on a plane and connected at their ends by nails. In practice we
encounter them everywhere. The research on hinges mechanism in mathematics began
at the time of the invention of the steam engine by James Watt and continue in
our time. Mathematicians of the twenty-first century proved the “signature
theorem”: there is a planar hinges mechanism that forges your signature with any
precision.
water away quickly But did you ever think about how they work? There is only one
fixed point, it is attached to the long arm of a lever with a brush that adheres
to the glass. If there is an engine that can operate this mechanism, it must
turn in one direction, then stop suddenly and turn in the opposite direction.
But how it is actually built on the wiper mechanism? If you open the hood you
can see that the wiper motor always rotates in the same way, all the time when
it is activated. But it is a planar hinge mechanism, called windscreen
trapezoid, that rotates now in one direction, now in the opposite one. What is a
planar hinges mechanism? In short, it is made of bars of different lengths
arranged on a plane and connected at their ends by nails. In practice we
encounter them everywhere. The research on hinges mechanism in mathematics began
at the time of the invention of the steam engine by James Watt and continue in
our time. Mathematicians of the twenty-first century proved the “signature
theorem”: there is a planar hinges mechanism that forges your signature with any
precision.
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