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# Simple Harmonic Motion: Relative Periods in Horizontal Springs

APPHMC-4AI1IJ

The mass-spring system shown in the figure above is set into motion by pulling the block to the right. ​When the block is released, the system oscillates in simple harmonic motion with a period of $T$.

The spring is replaced with a new spring that has triple the force constant of the original spring, and the block is replaced by a block with four times the mass of the original block. The new block is then pulled twice as far to the right.

What is the period of oscillation $T_2$ of the new configuration, when the block is released?

A

$T_2=0.87\ T$

B

$T_2=1.15\ T$

C

$T_2=1.33\ T$

D

$T_2=1.5\ T$

E

$T_2=2\ T$