1B
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 th eparabola 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) a/gk
b) a/2gk
c) 2a/gk
d) a/4gk
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7 Answers
49
ma cos @ = mg sin @
tan @ = ag
slope = -tan @ = 2kx
so, -2kx= ag
so, x= - a2kg
hence option b!!!