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Two beads A and B move along a semicircu...

Two beads `A` and `B` move along a semicircular wire frame as shown in figure. The beads are connected by an inelastic string which always remains tight . At an instant the speed of `A` is `u,/_BAC = 45^(@) and BOC = 75^(@)`,where `O` is the centre of the semicircular arc. The speed of bead `B` at that instant is

A

`sqrt(2u)`

B

u

C

`(u)/(2sqrt(2))`

D

`sqrt((2)/(3)) u`

Text Solution

Verified by Experts

The correct Answer is:
A
Distance AB - constant
`:.` Component of v along
BA = component of u along BA
or `v cos 6^(@) = u cos 45^(@)`
or `v = sqrt(2) u`
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