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Q.

A cylinder rolls up an inclined plane, reaches some height and then rolls down (without slipping throughout these motions). The directions of frictional force acting on the cylinder are:

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a

 Up the incline while ascending and down the inline while descending

b

Up the incline while ascending as well as while descending

c

Down the incline while ascending and up the inline while descending

d

Down the incline while ascending as well as while descending  

answer is B.

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Detailed Solution

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The cylinder rolls up the slope with a decreasing and clockwise angular velocity. The frictional force operating up the hill provides the necessary anticlockwise angular acceleration.
The cylinder rolls down the incline with an increasing and anticlockwise angular velocity. The frictional force operating up the hill provides the necessary anticlockwise angular acceleration.

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