Kinetic energy of a particle moving along the circle is $ax^2$. If R is the radius of the circle. The radial force on the particle is
$\dfrac{2ax^2}{R}$
$\left[\dfrac{1 + x^2}{R^2}\right]^{1/2}$
$2ax$
$\dfrac{2aR^2}{x}$
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