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 mon 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 paralle to the x-axis with a constant acceleration a. The distance of the the new equilibrium position of the bead. Find the x-coordinate where the bead can stay at rest with respect to the wire ?

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 pearl of mass m is in a position to slide over a smooth wire .At the intial instant the pearl is in the middle of the wire ,The wire moves linerly in a horizontal plane with an with the acceleration of the pearl Q.r.t wire is -

A wire which is bent in the shape of a curve given by, y=a^3x^4 . A bead of mass m is located at point P(x,y). If the wire is smooth, find omega with which wire needs to be rotated for bead to be static.

A wire which is bent in the shape of a curve given by, y=a^3x^4 . A bead of mass m is located at point P(x,y). If the wire is smooth, find omega with which wire needs to be rotated for bead to be static.