For example, how do you arrive at ##(\frac 12-\frac{16}{9\pi^2})2^2##? That is clearly the result of subtracting one term from another. What do those individual terms represent, and what principle are you using to say you should do that subtraction?antonov said:
Ok. Would have helped if you had posted that table originally.antonov said:
It depends what you are given. Are you given the total mass of the lamina or its density (mass per unit area)?antonov said:
So when you write that you get the answer 7,568032142, you mean you get the MoI is 7,568032142 mL2?antonov said:
A moment of inertia composite body is a measurement of an object's resistance to rotational motion. It takes into account the distribution of mass around an axis of rotation.
The moment of inertia of a composite body is calculated by summing the individual moments of inertia of each component of the body. This can be done using the parallel axis theorem, which takes into account the distance of each component from the axis of rotation.
The moment of inertia is important in physics because it is a key factor in determining the rotational behavior of an object. It affects how much torque is required to make an object rotate and how quickly it will rotate.
The moment of inertia depends on the distribution of mass in an object and the distance of that mass from the axis of rotation. Therefore, the moment of inertia will be different for different shapes, even if they have the same mass.
No, the moment of inertia of a composite body cannot be negative. It is always a positive value, as it represents the object's resistance to rotational motion. However, the direction of the moment of inertia vector can be positive or negative, depending on the direction of rotation.