State the expression for moment of inertial of the following (1) A rod (2) rectangula plate (3) ring (4)circular disc
see the other post.
i dnt knw it
To find the expression for the moment of inertia of different objects, we need to consider their specific shape and mass distribution.
1) Moment of inertia of a rod:
For a rod rotating about an axis perpendicular to its length, the moment of inertia (I) can be calculated using the formula:
I = (1/12) * M * L^2
where M represents the mass of the rod and L represents its length.
2) Moment of inertia of a rectangular plate:
For a rectangular plate rotating about an axis passing through its center and perpendicular to its plane, the moment of inertia (I) can be calculated using the formula:
I = (1/12) * M * (L^2 + W^2)
where M represents the mass of the plate, L represents the length, and W represents the width of the plate.
3) Moment of inertia of a ring:
For a thin ring rotating about an axis passing through its center and perpendicular to its plane, the moment of inertia (I) can be calculated using the formula:
I = M * R^2
where M represents the mass of the ring and R represents the radius of the ring.
4) Moment of inertia of a circular disc:
For a solid circular disc rotating about an axis passing through its center and perpendicular to its plane, the moment of inertia (I) can be calculated using the formula:
I = (1/4) * M * R^2
where M represents the mass of the disc and R represents the radius of the disc.
It's important to note that these expressions assume that the objects have a uniform mass distribution. If the mass is not distributed uniformly, the moment of inertia calculations become more complex.