JEE PYQ: Rotational Motion Question 19
Question 19 - 2020 (02 Sep Shift 1)
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 ‘O’ 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:
(1) $Mg\sqrt{1 - \left(\frac{R-a}{R}\right)^2}$
(2) $Mg\sqrt{\left(\frac{R}{R-a}\right)^2 - 1}$
(3) $Mg\frac{a}{R}$
(4) $Mg\sqrt{1 - \frac{a^2}{R^2}}$