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A metre stick is balanced on a knife edg...

A metre stick is balanced on a knife edge at its centre. When two coins, each of mass `5 g` are put one on of the other at the `12 cm` mark, the stick is found to balanced at `45 cm`. The mass of the metre stick is.

A

56 g

B

66 g

C

76 g

D

86 g

Text Solution

Verified by Experts

The correct Answer is:
B
Let m be the mass of the meter stick concentrated at C, the 50 cm mark as shown in the figure.

In Equilibrium, taking moments of forces about `C^(')`, we get
`10g(45-12)=mg(50-45), 10g xx 33 = mg xx 5`
`m=(10 xx 33)/(5)=66g`
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