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Physics
Classical Physics
Off center torque applied to a rotating body
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[QUOTE="jbriggs444, post: 6652302, member: 422467"] I do not understand the question. Torques are not applied "through" particular points. Forces are applied at points. Torques, not so. They are relative to a chosen axis rather than needing a point of application. In the case of the engine bearings acting on a the shaft+blade assembly in a turbine, it is convenient to represent the net effect as: 1. A linear force applied at the shaft+blade center of mass plus... 2. A pure torque (or "couple") applied to the shaft+blade as a whole. A "pure torque" is a set of forces that sum to zero but have a non-zero net torque. The simplest example would be a pair of equal and opposite forces applied at opposite ends of a rod. Hence the name "couple". A "pure torque" has no associated point of application and needs no reference axis. Regardless of where you put the reference axis, the torque will be the same. If you are concerned about the turbine's effect on the plane, you could have: 1. A linear force applied at a point on the plane's frame corresponding to the turbine's center of mass plus... 2. A pure torque (or "couple") applied to the aircraft as a whole. Edit: Let me state this a bit more compactly. The pitching torque arising from the precession associated with yaw is a pure torque. It does not matter where the engine is. It does not matter where the aircraft's center of mass is. It does not even matter where you choose to place a reference axis. The pitching torque will be the same regardless. [/QUOTE]
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Off center torque applied to a rotating body
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