First slide

Rotational motion

Question

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 figure.
The value of the unknown mass m is

Moderate

A

10 kg
B

6 kg
C

8 kg
D

12 kg

Solution

Balancing the torque:
for the first case: 16l_{1 =}ml₂
for the second case: ml₁= 4l₂
Divide them to get m = 8 kg

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