Αποτελέσματα Αναζήτησης
Moment of inertia is the property of a deformable body that determines the moment needed to obtain a desired curvature about an axis. Moment of inertia depends on the shape of the body and may
In this section, we show how to calculate the moment of inertia for several standard types of objects, as well as how to use known moments of inertia to find the moment of inertia for a shifted axis or for a compound object.
In this subsection, we show how to calculate the moment of inertia for several standard types of objects, as well as how to use known moments of inertia to find the moment of inertia for a shifted axis or for a compound object.
The dimension of moment of inertia is [M][L 2], so the unit is kg ⋅m2. For example, if the object is a circular disk, the moment of inertia is 2 2 1 Idisk = MR where M is the mass and R is the radius of the object. As stated, this affects how it is accelerated in rotational motion. The moment of inertia of a ring object is different: I MR 2 ...
rotational inertia (or angular inertia): the tendency for a rotating object to continue rotating. moment of inertia (I): a quantitative measure of the rotational inertia of an object. Moment of inertia is measured in units of kg·m2. Inertia in linear systems is a fairly easy concept to understand. The more mass
Examples (using the results already obtained in §10.1): • The moment of inertia of a uniform sphere of mass M and radius a about an axis tangential to the surface is given by I = 2 5 Ma +Ma2 = 7 5 Ma2. • The moment of inertia of a rod of mass M and length l about an axis through its midpoint (i.e., through the centre of mass) is I CoM = 1 ...
Part A: The problem involves a straightforward application of the integral formula for moment of inertia, followed by use of the definition of radius of gyration with respect to the y-axis, where Iy is the moment of inertia about the y-axis䔧縡 and A is the area of the surface.
