A uniform cylinder of mass M and radius R is to be pulled over a step of height a (a < R) by applying a force F at its centre â€˜Oâ€™ perpendicular to the plane through the axes of the cylinder on the edge of the step (see figure). The minimum value of F required is :

Question

$Mg\sqrt {1 - {{\left( {{{R - a} \over R}} \right)}^2}} $

$Mg\sqrt {1 - {{{a^2}} \over {{R^2}}}} $

$Mg{a \over R}$

$Mg\sqrt {{{\left( {{R \over {R - a}}} \right)}^2} - 1} $

Solution

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