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A particle of mass m=1kg lying on x-axis...

A particle of mass `m=1kg` lying on x-axis experiences a force given by law
`F=x(3x-2)` Newton.
Where x is the x-coordinate of the particle in meters.
`vec(x=0x=4`
(a) Locate the point on x-axis where the particle is in equilibrium.
(b) Draw the graph of variation of force F (y-axis) with x-coordinate of the particle (x-axis). Hence or otherwise indicate at which positions the particle is in stable or unstable equilibrium.
(c ) What is the minimum speed to be imparted to the particle placed at `x=4` meters such that it reaches tha origin.

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