Q.

A uniform rod of length l is kept vertically on a horizontal smooth surface at a point O. If it is rotated slightly and released, it falls down on the horizontal surface. The lower end will remain

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a

at a distance 1/2 from O

b

at O

c

at a distance larger than 1/2 from O

d

at a distance less than 1/2 from O

answer is C.

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Detailed Solution

Question Image

Since no frictional force acts on the rod , resultant acts on the rod , resultant force (mg - N ) acting on the rod us vertically downward (mg > N).

So , horizontal displacement of the centre of mass is zero , and the centre of mass starts moving vertically downward from its intial position and finally coincides with point O . Hence option - (3) is right.

 

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