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ISRO Scientist ME 2016 Paper

- 22.5 kg
- 12.5 kg
- 37 kg
- 45 kg

Option 2 : 12.5 kg

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ISRO Scientist ME 2020 Paper

1621

80 Questions
240 Marks
90 Mins

**Concept:**

The relation between mass of body and frequency of spring is given as,

\(f=\frac{1}{2\pi}\sqrt{\frac{k}{m}}\)

**Calculation:**

**Given:**

P = 200 N, L = 10 cm = 0.1 m, f = 2 Hz

Stiffness of spring:

k = \(\frac{P}{L}=\frac{200}{0.1}\) = 2000 N/m

Mass of body,

\(\sqrt{\frac{k}{m}}=2\text{ }\!\!\pi\!\!\text{ f}\)

\(\sqrt{\frac{2000}{m}}=2\text{ }\!\!\pi\!\!\text{ }\left( 2 \right)\)

∴ m = 12.6 ≈ 12.5 kg

Thus, mass of spring is 12.5 Kg.
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