A bead of mass m stays at point P (a,b) on a wire bent in the shape of a parabola `y =4 Cx^(2)` and rotating with angular speed `omega` (see figure ) . The value of `omega` is (neglect friction),

A thin circular ring of mass per unit length p and radius r is rotating at an angular speed omega as shown in figure. The tension in the ring is

A disc of mass m and radius R rotating with angular speed omega_(0) is placed on a rough surface (co-officient of friction =mu ). Then

A disc of mass m and radius R rotating with angular speed omega_(0) is placed on a rough surface (co-officient of friction =mu ). Then

A smooth wire frasme is in the shape of a parabola y = 5x^(2) . It is being rotated about y-axis with an angular velocity omega . A small bead of mass (m = 1 kg) is at point P and is in equilibrium with respect to the frame. Then the angular velocity omega is (g = 10 m//s^(2))

A smooth wire frasme is in the shape of a parabola y = 5x^(2) . It is being rotated about y-axis with an angular velocity omega . A small bead of mass (m = 1 kg) is at point P and is in equilibrium with respect to the frame. Then the angular velocity omega is (g = 10 m//s^(2))

A piece of wire is bent in the shape of a parabola y = Kx^(2) (y - axis vorical) with a bead of mass m on it . The beat can side on the wire without friction , it stays the wire is now accleated parallel to the bead , where the bead can stay at rest with repect to the wire from the y - axis is

A piece of wire is bent in the shape of a parabola y=kx^(2) (y-axis vertical) with a bead of mass m on it. The bead can slide on the wire without friction. It stays at the lowest point of the parabola when the wire is at rest. The wire is now accelerated parallel to the x-axis with a constant acceleration a. The distance of the new equilibrium position of the bead, where the bead can stay at rest with respect to the wire, from the y-axis is:

A piece of wire is bent in the shape of a parabola y=kx^(2) (y-axis vertical) with a bead of mass m on it. The bead can slide on the wire without friction. It stays at the lowest point of the parabola when the wire is at rest. The wire is now accelerated parallel to the x-axis with a constant acceleration a. The distance of the new equilibrium position of the bead, where the bead can stay at rest with respect to the wire, from the y-axis is: