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Question

A uniform meter scale can be balanced at the 70.0cm mark when a mass 0.05kg is hung from the 94.0cm mark. Find the mass of the metre scale :

A
6 kg
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B
0.06 kg
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C
0.07 kg
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D
60 kg
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Solution

The correct option is B 0.06 kg
As the scale is uniform, so the weight will be balanced at mid point i.e. 50 cm of the scale.
Let, M be the mass of the meter scale.
Using principle of moments, for equilibrium, sum of moment of force on left side of knife edge is equal to sum of moment of force on right side.
So, (7050)Mg=(9470)0.05g (as moment of force = force × perpendicular distance from fulcrum)
or M=0.06kg

695255_185092_ans_42fa0f8417e84c2aa8beacf79d0a71fb.png

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