Four mass–spring systems oscillate in simple harmonic motion. Rank the periods of oscillation for the mass–spring...

Four mass–spring systems oscillate in simple harmonic motion. Rank the periods of oscillation for the mass–spring systems from largest to smallest.

m = 2 kg , k = 2 N/m

m = 2 kg , k = 4 N/m

m = 4 kg , k = 2 N/m

m = 1 kg , k = 4 N/m

Expert Solution

\(T=2 \cdot \pi \sqrt{\frac{m}{k}}\)

\(1 \cdot \mathrm{m}=4 \mathrm{~kg}, \mathrm{k}=2 \mathrm{~N} / \mathrm{m}\)

\(2 m=2 \mathrm{~kg}, \mathrm{k}=2 \mathrm{~N} / \mathrm{m}\)

3. \(m=2 \mathrm{~kg}, \mathrm{k}=4 \mathrm{~N} / \mathrm{m}\)

4. \(m=1 \mathrm{~kg}, \mathrm{k}=4 \mathrm{~N} / \mathrm{m}\)

genius_generous answered 2 years ago

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