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
Famous quotes containing the words moment, inertia, rigid and/or body:
“From the moment I liberated Brigitte, the moment I showed her how to be truly herself, our marriage was all downhill.”
—Roger Vadim (b. 1927)
“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 (1856–1950)
“Let’s call something a rigid designator if in every possible world it designates the same object, a non-rigid or accidental designator if that is not the case. Of course we don’t require that the objects exist in all possible worlds.... When we think of a property as essential to an object we usually mean that it is true of that object in any case where it would have existed. A rigid designator of a necessary existent can be called strongly rigid.”
—Saul Kripke (b. 1940)
“somewhere in sands of the desert
A shape with lion body and the head of a man,
A gaze blank and pitiless as the sun,
Is moving its slow thighs, while all about it
Reel shadows of the indignant desert birds.”
—William Butler Yeats (1865–1939)