A square plate hinged at `A`, of side a and mass `M` is placed in `(x-z)` plane. The plate is allowd to fall upto `(x-y)` plane. Find its angular velocity

In problem 5, the CM of the plate is now in the following quadrant of x-y plane.

In problem 5, the CM of the plate is now in the following quadrant of x-y plane.

Two square plates of side 'a' are arranged as shown in the figure. The minimum separation between plates is 'd' and one of the plate is inclined at small angle alpha with plane parallel to another plate. The capacitance of capacitor is (given alpha is very small)

Two square plates of side 'a' are arranged as shown in the figure. The minimum separation between plates is 'd' and one of the plate is inclined at small angle alpha with plane parallel to another plate. The capacitance of capacitor is (given alpha is very small)

A thin uniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its center and perpendicular to its plane with an angular velocity omega . Now two particles each of mass m are placed on its perimeter along a diameter along a diameter. Find the new angular velocity. If m=M//2 , find the percentage change in the angular velocity.

Consider a uniform square plate of of side and mass m . The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is -