Looks good to me.atlantic said:So that:
I = m(a2 + 2a2 + 2a2) = 5ma2
I don't think you're doing anything wrong. What book are you using?But the answer is supposed to be 4.12ma2. What am I doing wrong?
Moment of inertia is a measure of an object's resistance to changes in its rotational motion. It is also known as rotational inertia and is similar to mass in linear motion.
The formula for moment of inertia of a point mass is I = mr^2, where m is the mass of the object and r is the distance from the axis of rotation to the mass.
The moment of inertia of an object depends on its mass, distribution of mass, and the axis of rotation. Objects with more mass and a larger distance from the axis of rotation will have a higher moment of inertia.
According to the law of conservation of angular momentum, the moment of inertia of an object is inversely proportional to its angular velocity. This means that as the moment of inertia increases, the angular velocity decreases and vice versa.
Moment of inertia is used in a variety of engineering and scientific fields, such as designing rotating machinery, calculating the stability of objects in motion, and predicting the behavior of objects in collisions or during rotation. It is also used in sports, such as figure skating and diving, to control and enhance rotational movements.