Question

A uniform metre scale is balanced at the 20 cm mark
when masses of 100 g and 50 g are suspended from
the 10 cm and 30 cm marks respectively. Calculate
the mass of the metre scale.
(Ans. 16.67 g)​

Answer 1

Answer:

Weight of the scale = 66.66gf

Explanation:

Let's denote the weight of the scale by 2.

The scale is 20cm and 100gf is suspended on one end (0 mark) when balanced.

So the weight of longer arm i.e. BC is balanced by 100gf  

So CW moment = A.C.W moment  

W × 30 = 20 × 100

= 2000 / 30

= 66.66gf

A weight of 100gf should be suspended at zero mark.

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Answer 2

Answer:

16.6667 g

Explanation:

As we know that weight of a uniform meter rule is considered to act at 50 cm

let the weight at 50 cm be X g

now,

Total Anticlockwise moment = Total Clockwise Moment

100 g× (20-10) = 50g × (30-20) + X g × (50-20)f

>> 1000gf = 500gf + 30X f

>> 30X f = 1000-500 gf = 500gf

>> X= 500/30g

>> X = 16.667g

Answer = 16.667g

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