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 |

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 |

1 Answer

5876 Votes

3537

**(a,b,c)**

Let the frictional force be in the forward direction, then

and

and

For pure rolling,

For pure rolling,

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 |

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