Scalar Moment of Inertia of A Rigid Body
In mechanics of machines, when designing rotary parts like gears, pulleys, shafts, couplings etc., which are used to transmit torques, the moment of inertia has to be considered. The moment of inertia is given about an axis and it depends on the shape and density of a rotating element.
When considering rotating systems like drive shafts, gear trains, and pulleys with more than one rotating element, more than one axis of rotation, an equivalent moment of inertia for the system can be found. The moment of inertia can be determined experimentally by measuring the angular acceleration for a known torque or it can be calculated from the masses and dimensions of the rotating elements and shafts.
Read more about this topic: Inertia Tensor
... The moment of inertia of a part around an axis can be determined experimentally by forming a compound pendulum ... to the direction of the desired moment of inertia ... point is given by Thus, if the period of oscillation is measured to be τ = 2π/ω, then the moment of inertia about the pivot point is given by The moment of inertia of the part ...
Famous quotes containing the words body, rigid, moment and/or inertia:
“See an old unhappy bull,
Sick in soul and body both,
Slouching in the undergrowth
Of the forest beautiful,”
—Ralph Hodgson (c. 18711962)
“Success makes men rigid and they tend to exalt stability over all the other virtues; tired of the effort of willing they become fanatics about conservatism.”
—Walter Lippmann (18891974)
“I thus could not live, and I admitted it, unless on the entire earth, all creatures, or at least the greatest number, were turned toward me, eternally vacant, deprived of an independent life, ready at any moment to respond to my call, given to sterility until the day I deigned to grace them with my light. In short, for me to live happily, it was necessary for those chosen by me not to live at all.”
—Albert Camus (19131960)
“What is wrong with priests and popes is that instead of being apostles and saints, they are nothing but empirics who say I know instead of I am learning, and pray for credulity and inertia as wise men pray for scepticism and activity.”
—George Bernard Shaw (18561950)