The moment of inertia of a body does not depend upon its
A. axis of rotation
B. angular velocity
C. form of mass
D. distribution of mass
Answer: Option B
Solution (By Examveda Team)
The correct answer is Option B: angular velocity.Moment of Inertia (I): Think of it as how resistant an object is to changes in its rotation. A higher moment of inertia means it's harder to start or stop the object from spinning.
Factors Affecting Moment of Inertia:
* Axis of Rotation: The moment of inertia changes depending on *where* you're trying to rotate the object around. It's easier to spin a door around its hinges than around an axis through the middle of the door. So, it depends on the axis of rotation.
* Form of Mass: This essentially means the shape of the object. A solid sphere will have a different moment of inertia than a hollow sphere of the same mass and radius. Thus, it depends on form of mass
* Distribution of Mass: This is super important! How the mass is spread out affects the moment of inertia. If more of the mass is concentrated further from the axis of rotation, the moment of inertia is higher. So, it depends on mass distribution
* Angular Velocity: This is how *fast* the object is already spinning. The moment of inertia is a property of the object *itself*. It doesn't change based on how fast the object is spinning.
In simple terms: Imagine you're holding a dumbbell. How hard it is to *start* spinning that dumbbell (moment of inertia) depends on how it's shaped and where the weight is (mass distribution, form of mass and axis of rotation), but *not* on how fast it's already spinning (angular velocity).
Moment of inertia is a measure of an object's resistance to changes in its rotational motion and depends on:
The axis of rotation (A): because the distance of mass elements from the axis matters.
The form of mass (C): meaning the shape and structure of the body.
The distribution of mass (D): how the mass is spread relative to the axis.
However, it does not depend on the angular velocity. That only affects the kinetic energy of rotation, not the moment of inertia itself.