Question

a bead of mass 'm' is constrained to move along a smooth rigid wire having the shape of hyperbola xy=c. write down the equation of motion and genralized force.

Answer 1

Answer:

A piece of wire is bent in the shape of a parabola y=kx2 (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