Four rods of side length `l` have been hinged to form a rhombus. Vertex `A` is fixed to a rigid support, vertex `C` is being moved along the `x`-axis with constant velocity `V` as shown in figure. The rate at which vertex `B` is nearing the `x`-axis at the moment the rhombus is in the form of a squarem is

The co-ordinates of the third vertex C on the x-axis so that A(2,0) , B(2+2sqrt3,6) and C form an equilateral triangle is :

Four rods of equal mass m and length L . Forms a square ABCD as shown in figure. The moment of inertia of ABCD about the axis OO' passing through the point A is

A particle of mass m moves in the XY plane with constant velocity v along the straight line PQ as shown in the figure. Its angular momentum with respect to origin O is( theta is angle between vec v and x-axis)

A uniform rod AB of mass m and length L rotates about a fixed vertical axis making a constant angle theta with it as shown in figure. The rod is rotated about this axis, so that point B the free end of the rod moves with a uniform speed V in the horizontal plane then the angular momentum of the rod about the axis is:

A uniform rod AB of mass m and length L rotates about a fixed vertical axis making a constant angle theta with it as shown in figure. The rod is rotated about this axis, so that point B the free end of the rod moves with a uniform speed V in the horizontal plane then the angular momentum of the rod about the axis is:

A uniform rod AB of mass m and length L rotates about a fixed vertical axis making a constant angle theta with it as shown in figure. The rod is rotated about this axis, so that point B the free end of the rod moves with a uniform speed V in the horizontal plane then the angular momentum of the rod about the axis is:

A uniform rod of mass m and length L is fixed to an axis, making an angle theta with it as shown in the figure. The rod is rotated about this axis so that the free end of the rod moves with a uniform speed ‘v’. Find the angular momentum of the rod about the axis. Is the angular momentum of the rod about point A constant?

Two straight conducting rails form a right angle where their ends are joined. A conducting bar in contact with the rails starts at the vertex at time t = 0 and moves with constant velocity v along them as shown in Fig. A magnetic field vec(B) is directed into the page. the induced emf in the circuit at any time t is proportional to