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Beads A and B each of mass m , are conne...

Beads `A` and `B` each of mass `m` , are connected by a light inextensible cord. They are constrained (restricted) to move on a frictionless ring in a vertical plane as shown. The beads are released from rest at the position shown. The tension in the cord just after the release is.

A

`sqrt(2)mg`

B

`mg`

C

`(mg)/(sqrt2)`

D

`2mg`

Text Solution

Verified by Experts

The correct Answer is:
C
`Tsin45^(@)=ma(forA)`
`Mg-Tsin45^(@)ma(forB)`
From (i) and (ii), `T=(mg)/(2sin45^(@))=(mg)/(sqrt(2))` .
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Knowledge Check

  • Two beads A and B of equal mass m are connected by a light inextensibe chord. They are constrined to move on a frictionless ring in vertical plane. The blocks are released from rest as shown in figure. The tension in the chord just after the release is

    A
    `(mg)/(4)`
    B
    `sqrt(2) mg`
    C
    `(mg)/(2)`
    D
    `(mg)/(sqrt(2))`

  • Two beads A & B of equal mass m are connected by a light inextensible to move on a connected to move on a frictionless ring in vertical plane. The beads are released from rest as shown. The tension in the cord just after the release is:

    A
    `sqrt(2) mg`
    B
    `(mg)/2`
    C
    `(mg)/4`
    D
    `(mg)/sqrt(2)`

  • If the masses are released from the position shown in figure then the speed of mass m1 just before it strikes the floor is -

    A
    `[2m_(1)gd//(m_(1)+m_(2))]^(1//2)`
    B
    `[2(m_(1)-m_(2))gd//(m_(1)+m_(2))]^(1//2)`
    C
    `[2(m_(1)-m_(2))gd//m_(1)]^(1//2)`
    D
    None of the above

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