A small block of mass m is placed halfway up on the inside of a frictionless, circular loop of radius r, as shown. The size of the block is very small compared to the radius of the loop. Determine an expression for the minimum downward speed Umin with which the block must be released in order to guarantee that it will make a full circle.

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Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.