A uniform cylinder of mass  and radius  is placed on a rough horizontal board, which in turn is placed on a smooth surface.The coefficient of friction between the board and the cylinder is . If the board starts accelerating with constant acceleration as shown in the figure, then a) For pure rolling motion of the cylinder, direction of frictional force is forward and its magnitude is b) The maximum value of , so that the cylinder performs pure rolling is c) The acceleration of the center of mass of the cylinder under pure rolling condition for the given is d) None of these

Question ID - 100796 :- A uniform cylinder of mass  and radius  is placed on a rough horizontal board, which in turn is placed on a smooth surface.The coefficient of friction between the board and the cylinder is . If the board starts accelerating with constant acceleration as shown in the figure, then a) For pure rolling motion of the cylinder, direction of frictional force is forward and its magnitude is b) The maximum value of , so that the cylinder performs pure rolling is c) The acceleration of the center of mass of the cylinder under pure rolling condition for the given is d) None of these

3537

(a,b,c)

Let the frictional force be in the forward direction, then

and

and

For pure rolling,

For pure rolling,

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Complete the given number/letter analogy, by choosing the correct answer from the given alternatives.

 BDFH : JLNP : : RTVX : ? (a) BDHF (b) BDFZ (c) ZBDF (d) YZAB