A binary star consists of two stars (mass 2.2 ) and B (mass 11 ), where is the mass of the sun. They are separated by distance and are rotating about their centre of mass, which is stationary. The ratio of the total angular momentum of the binary star to the angular momentum of star about the centre of mass is

A force of- F acts on , the origin of the coordinate system. The torque about the point 1, -(a) is

The area of the region bounded by y=|x-1| and y=1 in sq. units is

For such questions, we should know area of different shapes.

The area of the elliptic quadratic with the semi major axis and semi minor axis as 6 and 4 respectively

For such questions, we should know the formula of area of different shapes.

A solid sphere of radius has moment of inertia about its geometrical axis. If it is melted into a disc of radius and thickness . If its moment of inertia about the tangential axis (which is perpendicular to plane of the disc), is also equal to , then the value of is equal to

The area of the region bounded by y= and the x-axis is

Area of the region bounded by y is

Area of the region bounded by y=and y=2 is

The area bounded by y=cos x, y=x+1 and y=0 in the second quadrant is

A joint is formed by two identical rods and each of mass and length in the plane as shown. Its moment of inertia about axis coinciding with is

The area bounded by the parabola=4ay, x-axis and the straight-line y=2a is

Four balls each of radius 10 cm and mass 1 kg, 2kg, 3 kg and 4 kg are attached to the periphery of massless plate of radius 1 m. What is moment of inertia of the system about the centre of plate?

For the given uniform square lamina , whose centre is

Which is correct about the change given below

Identify Z in the reaction 

 X and Y are respectively