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A ball of mass 1 kg hangs in equilibrium...

A ball of mass 1 kg hangs in equilibrium from two strings OA and OB as shown in figure. What are the tensions in strings OA and OB? (Taking g = 10 m/`s^2`)

A

`5 N, ` zero

B

zero` 5 sqrt(3) N`

C

`5 N , 5 sqrt(3) N`

D

`5 sqrt(3) N, 5N`

Text Solution

Verified by Experts

The correct Answer is:
C
Various forces acting on the ball are shown in figure Applying lami.s theorem ,
` (T_1)/( sin 150^@ ) =(T_2)/(sin 120 ^@ ) = (10)/( sin 90^@)`
` or (T_1)/(sin 30^@ ) =(T_2) /(sin 60^@ = (10)/(1)`
` therefore T_1 = 10 sin 30^@ = 10 xx 0.5 = 5N`
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A ball of mass 1 kg hangs in equilibrium from two string OA and OB as show in figure. What are the tension in string OA and OB ? (Take g= 10 m//s^(2))

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Knowledge Check

  • A block of mass 10 kg is suspended by three strings as shown in figure . Tension T_(2) is

    A
    100N
    B
    `(100)/(sqrt(3))N`
    C
    `sqrt(3)xx100N`
    D
    `50sqrt(3)N`

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