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17. Periodic Motion - Part 1 of 2

17. Periodic Motion - Part 1 of 2

17. Periodic Motion / Intro to Simple Harmonic Motion (Horizontal Springs) / Problem 6

An aluminum mass m is placed on a frictionless horizontal surface and connected to two copper wire springs arranged in series. The first spring, made from a thicker gauge of copper wire, has a different spring constant from the second, which is made from a thinner gauge. Determine the period T of horizontal oscillation for the aluminum mass.

ANSWERS OPTIONS

A

$2\pi \sqrt{\frac{m}{k_1k_2}}$

B

$2 \pi \sqrt{\frac{m}{k_{1}+k_{2}}}$

C

$2 π \sqrt{(\frac{k_{1} + k_{2}}{k_{1} k_{2}}) m}$

D

$2 π \sqrt{(\frac{k_{1} k_{2}}{k_{1} + k_{2}}) m}$

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