HSC Higher Mathematics 2nd Paper Note 8th Chapter Statics

HSC Higher Mathematics 2nd Paper Note 8th Chapter Statics. Statics is the branch of mechanics that is concerned with the analysis of loads (force and torque, or “moment”) acting on physical systems that do not experience an acceleration (a=0), but rather, are in static equilibrium with their environment. When in static equilibrium, the acceleration of the system is zero and the system is either at rest or its center of mass moves at constant velocity. The application of Newton’s second law to a system gives:

HSC Higher Mathematics 2nd Paper Note 8th Chapter Statics

The static equilibrium of a particle is an important concept in statics. A particle is in equilibrium only if the resultant of all forces acting on the particle is equal to zero. In a rectangular coordinate system, the equilibrium equations can be represented by three scalar equations, where the sums of forces in all three directions are equal to zero. An engineering application of this concept is determining the tensions of up to three cables under load, for example, the forces exerted on each cable of a hoist lifting an object or of guy wires restraining a hot air balloon to the ground.

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