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  4. In an experiment with a beam balance, an unknown mass m is balanced by two known masses of 16 kg and 4 kg as shown in the figure. <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/943634bbdee73d1b0b30e2d51e1c2b45-.png /> The value of the unknown mass m is

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Q. In an experiment with a beam balance, an unknown mass $m$ is balanced by two known masses of $16 \, kg$ and $4 \, kg$ as shown in the figure.
image
The value of the unknown mass $m$ is

System of Particles and Rotational Motion

Solution:

Balancing the torque:
for the first case: $16 l_{1}=m l_{2}$
for the second case: $m l_{1}=4 l_{2}$
Divide them to get $m=8 \,kg$