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)
Answers
Answered by
14
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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Answered by
16
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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