Question

In an experiment shown in the figure. If rod is found to be in balanced state in the two cases then value of m is :-

Answer 1

In an experiment shown in the figure. If rod is found to be in balanced state in the two cases then value of m is :-

Answer 2

Complete 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 fig. Find m.

Answer:

The value of mass m is 8 kg.

Explanation:

Case 1: Experiment 1

Given,

Mass of another block (M) = 16 Kg

Applying torque at wedge point,

16 × l₁ = m × l₂

l₁/l₂ = m/16.....(1)

Case(2): Experiment 2

Given,

Mass of another block (M) = 4 Kg

Applying torque at wedge point

m × l₁ = 4 × l₂

l₁/l₂ = 4/m.....(2)

From equations (1) and (2) we get:

m/16 = 4/m

⇒ m² = 64

⇒ m = 8 Kg

Therefore, the value of the mass (m) = 8 Kg.

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