INERTIA OF SQUARE SHEET ABOUT IT'S DIAGONAL

INERTIA OF RECTANGULAR SHEET ABOUT IT'S DIAGONAL

Four masses 1, 2, 3 and 4 kg each are placed on four corners A, B, C and D of a square of side sqrt(2) m. The moment of inertia of this system about an axis passing through the point of inter-section of diagonals and perpendicular to the plane of the square will be:

Figure shows a thin metallic triangular sheet ABC . The mass of the sheet is M . The moment of inertia of the sheet about side AC is : .

Four point masses, each of value m, are placed at the corners of a square ABCD, having each side of length L. What is the moment of inertia of this system about an axis passing through A and parallel to the diagonal BD?

The diagonal of a square A is (a+b). The diagonal of a square whose area is twice the area of square A is

Copy the figure given here. Take any one diagonal as a line of symmetry and shade a few more squares to make the figure symmetric about a diagonal. Is symmetric about a diagonal. Is there more than one way to do that? Will the figure be sysmmetic about both the diagonals?