A single mass is used in two separate oscillators that must operate with the same…

PHYSICS · Subjective · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A single

0.50\,\text{kg}

mass is used in two separate oscillators that must operate with the same period of

1.5\,\text{s}

: • Oscillator A: the mass is attached to a horizontal spring of unknown spring constant

k

. • Oscillator B: the mass acts as the bob of a simple pendulum whose length is fixed at

0.56\,\text{m}

. Determine the value of the spring constant

k

required so that Oscillator A matches the period of Oscillator B.