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A meter stick AB of length 1 meter rests...

A meter stick `AB` of length 1 meter rests on a frictionless floor in horizontal position with end `A` attached to the string as shown. Assume that string connecting meter stick with pulley always remains vertical.

Minimum magnitude of relative velocity of `A` with respect to `B` during the motino specified in question 5 is `:`

A

`2 m//s`

B

`4 m//s`

C

`6 m//s`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`vec(V_(A))=4hat(j) m//s` and `vec(V)_(B)=(-4 tan theta hat (j))m//s`
`:. vec(v)_(AB) =(4 tan theta hat(i) + 4 hat j)m//s`
`:. V_(AB)=4 sqrt(1-tan^(2) theta)=(4)/(cos theta)`
`:. (V_(AB))_(min)=4 m//s`.
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