what is moment of inertia? how it is applicable in engineering? so confusing??!!!!!?

moment of inertia is a concept that is important in understanding rotational motion.

recall for a second what you learned about straight line motion; a force exerted on an object causes an acceleration according to F=ma

here, the greater the mass, the more difficult it is to accelerate the object

in rotational motion, we are interested in such things as how much torque does it take to cause an angular acceleration...this equation is

torque = moment of inertia x angular acceleration

this equation has the same form as F=ma, where moment of inertia has the same role as mass...the greater the moment of inertia the more difficult it is to cause an angular acceleration

in less mathematical terms, the moment of inertia tells you how the mass of the object is distributed with respect to its center of rotation

try this experiment at home...get a long ruler or a piece of wood a meter or so long

hold the wood in the middle and twist your hand up and back so you cause the wood to rotate around your fist

now, hold the wood at the end and do the same...

you should see that it is much more difficult to cause the wood to rotate when you hold it at its end

the wood has the same mass in both cases, but in the latter case, much more of the wood is farther from the rotation axis (where you are holding it) than in the former case, so that in the latter case there is a much greater moment of inertia around the rotation point

hope this helps

this is what determine your ability to be able to rotate an object within a point, the greater the inertia, the more stressful and expensive it is to rotate that object. Now in practical if you are making a design and there will be need to rotate the object you are designing for, it will be good you use your knowledge in centre of mass and moment of inertia to establish the point or axis that will be more convenient, safe and less costly to rotate that object. This is very applicable in mechanical and aeronautical engineering designs but all branches of engineering can apply the principle.

expertise WHY 2d of inertia is decribed as I=mr^2 is greater of a physics question than an engineering question. For simplicity, enable us to evaluate a factor particle with mass m rotating a pair of given axis. The equipment may well be generalized with the aid of fact the sum over all factor debris to comprehend the equipment. This particle rotates on the subject of the axis at a radius of r with a frequency w. that's usually happening that the rotational kinetic power of this particle is T(rot) = .5*m*(w x r)^2 [for w x r as vector flow product]. via a mathematical identity, this is T(rot) = .5*m*{w^2*r^2 - (w . r)^2} [the place w . r is the dot product]. this is expressed as in ingredient form to furnish you a three via 3 matrix for I [in 3 dimensional area] mentioned as the inertia tensor. T(rot) = .5 * sum(ij)[ I(ij) * w(i) * w(j) ] I(ij) = m * { delta(ij)sum(ok)[x(ok)^2] - x(i)*x(j) } [the place delta(ij) is the Kronicker delta: is a million when I=j, else 0] For an user-friendly treatment whilst the particle is often in basic terms shifting in a path this is perpendicular to the axis of rotation, this inertia tensor will in basic terms have diagonal factors and a scalar I is defined the place I = sum(ij)[I(ij)] that's the 2d of inertia you're conscious of. Now, T(rot)=.5 * I * w^2 I = m * r^2 in actuality, the sq. of the dimensions term comes from the reality that a rotating particle takes greater power to rotate it consistent with how some distance away that's from the axis besides as how with out postpone it tries to rotate (that's additionally proportional to the radius).

it is ability to resist change of state in body motion

if u travel in the bus u will come to know about it.