Oscillation Equations Video Lessons

Concept

# Problem: Four mass–spring systems oscillate in simple harmonic motion. Rank the periods of oscillation for the mass–spring systems from largest to smallest.a. m = 2 kg , k = 2 N/mb. m = 2 kg , k = 4 N/mc. m = 4 kg , k = 2 N/md. m = 1 kg , k = 4 N/m

###### FREE Expert Solution

Period of oscillation is expressed as:

$\overline{){\mathbf{T}}{\mathbf{=}}{\mathbf{2}}{\mathbf{\pi }}\sqrt{\frac{\mathbf{m}}{\mathbf{k}}}}$

a. ${\mathbf{T}}{\mathbf{=}}{\mathbf{2}}{\mathbf{\pi }}\sqrt{\frac{\mathbf{2}}{\mathbf{2}}}$

T = 4.28 s

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###### Problem Details

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

a. m = 2 kg , k = 2 N/m

b. m = 2 kg , k = 4 N/m

c. m = 4 kg , k = 2 N/m

d. m = 1 kg , k = 4 N/m