kirmats 3 years ago A uniform rod 0A of length l, resting on smooth surface is slightly disturbed from its vertical position. P is a point on the rod whose locus is a circle during the subsequent motion of the rod. Then the distance OP is equal to.. ?

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1. suresh006

plz clear yr qstn by drawing figr

2. kirmats

3. nickymarden

OP is the radius of the circle

4. kirmats

whats is it equal to in terms of l?

5. suresh006

i think yr qstn is incomplete u have not given locus point co-ordinate........my thinking!!!

6. nickymarden

something is missing. OP= l-AP but that's about all i can say and that it is the radius of the circle :x

7. kirmats

i got till that.. but it is solvable.. dont noe how..

8. kirmats

i tried doin with the circle equation and taking the rod as y axis..

9. dhruv1793

The question is complete and solvable. It was asked in one of our tests. Don't know the answer though, sorry.

10. Scotsbruce

OP= L-AP... You have to state the unknowns with reference to the knowns...even if you can't quantify what they are. the length is known - L- OA is unown (it is L...L=OA) OP is both unknown and the focus of the equation that leaves AP which - whilst remaining unquantified - is the difference between OA (unknown) and OP (unknown)....you could also state for clarity OA-OP= AP....that way you are covering all bases!