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A uniform metre scale is balanced horizo...

A uniform metre scale is balanced horizontally on a knife edge at a distance of 10 cm from its centre of gravity, when masses of 50 gm and 30 g are suspended from the 5 cm and 90 cm marks of the rod. What is the weight of the rod?

A

20 gram weight

B

25 gram weight

C

40 gram weight

D

10 gram weight

Text Solution

Verified by Experts

The correct Answer is:
B

For equilibrium of the meter scale, we take the moments of the forces about the knife adge at C.
`:.` Moment of 50 gram wt. about `C = 50 × 35 ` (anticlockwise)
The weight W of the scale, acts through the centre of gravity G.
Moment of W about C = 10 × W (clockwise)
Moment of 30 gram wt . about C = `30xx50` (clockwise)
`:.` For equilibrium, `50 × 35 = 10 × W + 30 × 50 `
`:.10 W = 1750 - 1500 = 250`
`:. W =25` gram weight
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