Moment of Inertia Flashcards
1
Q
Explain Moment of Inertia (Rotational Inertia)
A
- It is a measure of how much an object resists rotational acceleration around a particular axis
- Formula - I = mr^2
- Scalar Quantity
- Depends on mass, mass distribution and location of axis
2
Q
State the Theorem of Perpendicular Axes
A
The moment of inertia of a planar body about a perpendicular axis equals the sum of its moments of inertia about two perpendicular axes in its plane.
3
Q
State the Theorem of Parallel Axes
A
The moment of inertia about a parallel axis equals the center of mass moment plus the object’s mass multiplied to the square of the distance between axes
4
Q
Formula of theorem of perpendicular axes
A
Iz = Ix + Iy
where,
Iz -> Inertia at z axis
Iy -> Inertia at y axis
Ix -> Inertia at x axis
5
Q
Formula of theorem of parallel axes
A
Ixx’ = Icg + Md^2
where,
ixx’ -> Inertia of parallel lines
Icg -> inertia at Centre of Gravity
M - Object Mass
d -> distance b/w the 2 axis
