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∙ 13y agoThink of it as the difference in moment of inertias for two solid cubes. Calculate the moment of inertia of a solid cube with dimensions equal to the inner dimensions of your hollow cube. Then calculate the moment of inertia of a solid cube with dimensions equal to the outer dimensions of your hollow cube. Subtract the moment of inertia of the inner dimensions from the moment of inertia of the outer dimensions to get the moment of inertia of what's left. Same concept applies to finding the area of a thin-walled circle. Outer area - inner area = total area. Outer moment of inertia - inner moment of inertia = total moment of inertia.
This approach won't work however if you're considering hollow shell - a cube with walls of zero thickness.
If the axis of rotation goes through the cube center, perpendicular to one of its walls, first calculate moment of inertia of the wall that the axis passes through (let's call it Ia).
For all equations below d equals surface density(mass per unit of area) and a is length of cube's side.
Ia= d * a4 / 6
Then you have to calculate moments of inertia of four walls parallel to the axis.
This will be Ib=4 * Iwall=4*d*a4/3.
Total moment of the shell will be then:
I=2*Ia+Ib=1.5*d*a4.
If the axis is through the center and ┴ one face, I = (m/6)*[a² - (a-t)²], or
I = (m/6)(2at - t²) for any value of t, however small.
Source: CRC Std Math Tables
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∙ 14y agoWiki User
∙ 13y agoThe parallel axis theorem says, I = Io+md^2. We know Io of a cube (side length a) with an axis parallel to a side and through the centroid is 1/6*m*a^2. The distance d to the axis is a/2*sqrt(2). This yields the moment of inertia along the axis of 2/3*m*a^2.
The moment of inertia of a cube with uniform density about any edge is (1/6) * M * a^2, where M is the mass of the cube and a is the length of the edge.
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∙ 12y agoif side length is a then (2/3)ma^2
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∙ 12y agoMa
It will be half the mass of the whole cube.
To find the density of the cube material, divide the mass of the cube by its volume. You would first need to know the volume of the cube to calculate its density accurately. If the volume of the cube is 8cm³, then the density would be 96g/8cm³ = 12g/cm³.
The density of the floating cube is equal to the density of the fluid it is floating in. This is because the cube is in equilibrium, meaning the weight of the cube is equal to the weight of the fluid it displaces. Therefore, its density is the same as the fluid's density.
Cannot be answered without knowing the size of the cube!If the cube were 1 cm on a side the density would be 60.If the cube were 10 cm on a side the density would be 0.06...We cannot determine the answer because we are not given the volume.Density= mass/volumeVolume of a cube=L3 ; where L = side length
To find the density of a cube, you would first measure the mass of the cube using a scale. Next, measure the length of one side of the cube to find its volume. Finally, you can calculate density by dividing the mass of the cube by its volume. Density = Mass/Volume.
A uniform cube would have its minimum rotational inertia about an axis passing through its center of mass and perpendicular to any face of the cube.
If the cube is uniform ( ie it has uniform density) then the geometric center of the cube is its center of gravity.
equal the density of any other piece, assuming that the original cube was made of the same uniform substance.
1.73, the square root of 3.Motors are rated in horsepower, not KW.
It will be half the mass of the whole cube.
The density of a cube is calculated by dividing its mass by its volume. The formula to calculate density is: Density = Mass/Volume. The density of a cube will depend on the material it is made of.
To find the density of the cube material, divide the mass of the cube by its volume. You would first need to know the volume of the cube to calculate its density accurately. If the volume of the cube is 8cm³, then the density would be 96g/8cm³ = 12g/cm³.
The relative density of a plastic cube is the ratio of the density of the plastic cube to the density of water. To calculate it, you would divide the density of the plastic cube by the density of water (usually 1 g/cm^3). If the relative density is less than 1, the cube will float in water, and if it's greater than 1, the cube will sink.
No. Each piece of the cube would have the same density.
The density is (32)/(the length of each edge of the cube)3
Multiply the volume of the cube by its density.
The density of the cube is calculated by dividing the mass of the cube by the volume of the cube. The volume of a cube is given by the formula side length cubed, so the density of the cube would be mass (g) divided by side length (cm) cubed.