A triangular metal sheet of uniform thickness 10 cm and uniform density 5000 kg/m3. The lengths of sides AB, BC and CA are 5 m, 6 m and 5 m respectively. The moment of inertia about the side BC is `xtimes10^y` kg/m2. Then the value of xy is

A sphere of mass 10 kg and radius 0.5 m rotates about a tangent. The moment of inertia of the sphere is

Three identical rods, each of mass m and length l , form an equaliteral triangle. Moment of inertia about one of the sides is

The length, breadth and height of a room are 8 m, 5 m and 3 m respectively. If density of air is 1.29 kg m^(-3) , find the mass of air in the room.

A wire of length l and mass m is bent in the form of a rectangle ABCD with (AB)/(BC)=2 . The moment of inertia of this wife frame about the side BC is

ABC is a traiangular plate of uniform thickness. The sides are in the ratio shown in the figure. I_(AB) , I_(BC) and I_(CA) are the moments of inertia of the plate about AB , BC and CA repectively. Which one of the following relations is correct?

From a uniform square plate of side a and mass m , a square portion DEFG of side (a)/(2) is removed. Then, the moment of inertia of remaining portion about the axis AB is

ABC is a triangular plate of uniform A thickness. The sides are in the ratio shown in the figure. I_(AB), I_(BC), I_(CA) are the moments of inertia of the plated about AB, BC and CA respectively. Which one of the following relation is correct?

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 : .

The moment of inertia of a door of mass m , length 2 l and width l about its longer side is.

In DeltaABC the mid points of the sides AB, BC and CA are (l, 0, 0), (0, m, 0) and (0, 0,n) respectively. Then, (AB^2+BC^2+CA^2)/(l^2+m^2+n^2) is equal to