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TwoGears2
2D

TwoGears2[cnum, point1, rad1, point2, rad2, C] models a gear set. The axes of the two gears point1 and point2 are constrained to be rad1 + rad2 units apart, and the rotational positions of the gears are related as per their respective radii.
• The constant C sets the initial rotational positions of the gears.
TwoGears2 constrains two degrees of freedom.

• The constant C, which sets the initial rotation of the gears, is given by the formula C = (rad1 e1 + rad2 e2) where e1 and e2 are determined in the following way. Place the two gears in any valid position and construct a vector from point1 to point2. e1 is the angle, measured in radians, from the constructed vector to the local x axis of gear 1 and e2 is the angle from the constructed vector to the x axis of gear 2.
• If the Euler solution method is specified TwoGears2 generates three constraints and add one extra variable to the model.
TwoGears2[cnum, point1, rad1, {sym1, guess}, point2, rad2, C] can be used to explicitly specify the name of the extra variable and its initial guess. Otherwise, a symbol of the form CapitalThetacnum is used.
• The first equation in TwoGears2 constrains the two points to lie rad1 + rad2 units apart; the second, and optional third, equation relates the rotation angles of the two gears.
• See also:
RackAndPinion2, SetConstraints, SetSymbols, SysCon, TwoGears1, TwoPulleys2.


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