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The established conditions of moment of momentum theorem to instantaneous rotation axis when rigid body doing paralleled planar moves

According to the geometrical method of polhode, this paper deduces the established conditions of the original form of moment of momentum theoremd(Iw z)dt=M z under the conditions that the coordinate origin sets up in the instantaneous center and the rotation axis passes through it and is vertical to the reference plane when rigid body is on the paralleled planar motion. The geometrical priterion is that the distance between the instantaneous center and the center of mass must be constant.