Question

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

Answer 1

Correct Answer - 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`.