Time Period of Spring-Mass System – Rankers Physics
Topic: Oscillation
Subtopic: Spring Block System

Time Period of Spring-Mass System

A spring is stretched by \(5\text{ cm}\) by a force \(10\text{ N}\). The time period of the oscillations when a mass of \(2\text{ kg}\) is suspended by it is
0.628 s
0.0628 s
6.28 s
3.14 s

Solution:

The spring constant is \(k = \frac{F}{x} = \frac{10}{0.05} = 200\text{ N/m}\). The time period of the spring-mass system is \(T = 2pi \sqrt{\frac{m}{k}} = 2pi \sqrt{\frac{2}{200}} = 0.2pi \approx 0.628\text{ s}\).

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