Action science method for balance and unbalance phenomenon
A technology of action and balance, applied in the field of functional balance, which can solve the problems of weakened scientific nature of functional balance theory, strong one-sidedness, and no relationship between balance and instability phenomena and motion laws.
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Embodiment 1
[0053] Such as figure 1 As shown, an object with mass m is placed on an inclined plane with inclination angle α, please analyze the stability of the object on the inclined plane. Suppose the frictional resistance is R.
[0054] Solution: if figure 1 As shown, the force and amount of action to control the movement of the object are produced by gravity, and the two are respectively
[0055] F=G=mg and A=Ft=mgt.
[0056] In the formula, A and F respectively represent the action amount and force that drive the object to move; G represents the gravity on the object; g represents the acceleration of gravity; t represents the time for the object to accept the action. The force and amount of action that control whether the object runs always exist. A and F are the dominant factors that control whether the object is unstable or not, that is, whether it slides. However, whether the object is stable or unstable depends on the nature of the sliding surface. control. The sliding surfa...
Embodiment 2
[0087] Such as figure 2 As shown, the supporting force N of the lever at the fulcrum O, the gravity G at the point P 1 = mg and the gravity G at point Q 2 =Rotate under the joint action of Mg, OP=b, OQ=c, please analyze the equilibrium stability of point P, calculate the characteristic value of its equilibrium stability property, and give its instability condition.
[0088] Analysis: The overall three points of the lever PQ are acted on, and the acting points are respectively located at three points O, P, and Q, and the acting forces are respectively N and G 1 , G 2 , the lever does not deform under the action of these three forces, so the lever can be regarded as a rigid body. If the lever deforms, it is either a non-rigid or deformable body. The following analysis is based on the functional theory as follows:
[0089] (1) Overall effect analysis:
[0090] a. Cooperative analysis in the direction of the fulcrum force F:
[0091] Such as figure 2 As shown, the overal...
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