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**1. Homework Statement**

Consider the spring-mass system shown. A dynamic load, P(t), is applied with a frequency of 300 rpm. The helical compression spring is made of a music wire. When installed, the spring force is to vary between 100 and 500 N while the spring height varies over a range of 10 mm. The object attached to its end has a mass of 1.7 kg.

Derive an expression for natural frequency.

**2. Homework Equations**

None. There might be some unnecessary information in the question, I'm not sure. This is an example from my machine design course.

**3. The Attempt at a Solution**

I know that a spring's natural frequency is 1/2∏ √(k/m). But I don't know this applies to this question.

Thanks!

**1. Homework Statement**

**2. Homework Equations**

**3. The Attempt at a Solution**