Question

1. Is oscillation of a mass suspended by a spring is simple harmonic?

2. Write period of oscillation of the spring?

3. There are two springs, one delicate and another stout. For which spring, the frequency of oscillation will be more?

4. Two un equal springs of same material are loaded with same load, which one will have large value of time period?

Answer 1

1. Yes

2. T = 2π\(\sqrt{\frac{m}{k}}\)

3. When a stout spring loaded with mass ‘m’, the extension (l) produced is large.

∴ T is large, because T = 2π\(\sqrt{\frac{m}{k}}\),

T is small, i.e, frequency is large. Stout spring oscillate with larger frequency.

4. When a longer spring is locked with weight mg, the extension T is more

∴ T is large, because T = 2π\(\sqrt{\frac{l}{g}}\)

So longer spring will have a large value of period.