Question

a mass on a spring is undergoing vibrations. a computer - interfaced motion detector placed below the mass detects its position as a function of time. consider the two cases below. in which case does the mass have the greatest period? (there are two graphs labeled case a and case b showing the motion of the mass over time)

Explanation:

Step1: Define period of vibration

The period $T$ is the time to complete one full oscillation.

Step2: Compare oscillations per time

Case A has fewer oscillations than Case B over the same time span.

Step3: Relate count to period

Fewer oscillations mean a longer time per cycle, so $T_A > T_B$.

Answer:

Case A