Because you need to overcome inertia before you can lift anything
Just moment of inertia is incomplete requirement as the axis about which it is to be measured is also very important
Dimensional formula of moment of inertia = [ML2T0 ]
The second moment of a force is called as moment of inertia.
In structural engineering, the relationship between beam deflection and moment of inertia is that a higher moment of inertia results in less beam deflection. Moment of inertia is a measure of an object's resistance to bending, so beams with a higher moment of inertia are stiffer and deflect less under load. This relationship is important in designing structures to ensure they can support the intended loads without excessive deflection.
The derivative of the moment of inertia with respect to the variable in question is called the rate of change of moment of inertia.
in torsional vibrations moment of inertia is a very important determining factor. it is a quantitative measure of the resistance of an object to torsion. it is synonymous to mass in displacement systems. the greater the moment of inertia the lesser the degree of torsional vibrations and vice versa. moment of inertia relates torsional vibrations to the geometry of the part considered irrespective of its composing material and its strength.
Moment of inertia has unit kg m2
The formula for calculating the moment of inertia of a hoop is I MR2, where I is the moment of inertia, M is the mass of the hoop, and R is the radius of the hoop.
define moment of inertia§ I is the moment of inertia of the mass about the center of rotation. The moment of inertia is the measure of resistance to torque applied on a spinning object (i.e. the higher the moment of inertia, the slower it will spin after being applied a given force).
The moment of inertia of an object depends on its mass distribution and shape. For simple shapes, such as a point mass or a solid cylinder, mathematical formulas can be used to calculate the moment of inertia. For complex shapes, numerical methods or integration techniques may be necessary to determine the moment of inertia.
Table 2D in the moment of inertia table provides information about the moments of inertia for different geometric shapes, such as rectangles, circles, and triangles. These values are important in physics and engineering for calculating the rotational motion of objects.
The moment of inertia for a hoop is equal to its mass multiplied by the square of its radius.