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A metre stick is balanced on a knife edge at its centre. When two coins, each of mass 5 g are put one on top of the other at the 12.0 cm mark, the stick is found to be balanced at 45.0 cm. What is the mass of the metre stick?
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Text solutionVerified
Let and be the respective weights of the metre stick and the coin.
The mass of the metre stick is concentrated at its mid-point, i.e., at the 50 cm mark.
Mass of the metre stick=
Mass of each coin=5g
Mass of each coin=5g
When the coins are placed away from the end P, the centre of mass gets shifted by from point R toward the end P. The centre of mass is located at a distance of from point P.
The net torque will be conserved for rotational equilibrium about point R.
Thus
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Question Text | A metre stick is balanced on a knife edge at its centre. When two coins, each of mass 5 g are put one on top of the other at the 12.0 cm mark, the stick is found to be balanced at 45.0 cm. What is the mass of the metre stick? |
Updated On | Aug 30, 2023 |
Topic | System of Particles and Rotational Motion |
Subject | Physics |
Class | Class 11 |
Answer Type | Text solution:1 Video solution: 3 |
Upvotes | 316 |
Avg. Video Duration | 8 min |