Final answer:
The correct option for the spring-mass system parameters in terms of amplitude, frequency, period, and time shift is option C: Amplitude: 5, Frequency: 10 Hz, Period: 0.1 s, Time Shift: π/10 s.
Step-by-step explanation:
The period (T) and frequency (f) of a simple harmonic oscillator are related to the mass of the system. The equations for the period and frequency are given as T = 2π√(m/k) and f = 1/T, where m is the mass of the system and k is the spring constant. In this question, the provided options for the spring-mass system parameters are:
A. Amplitude: 5, Frequency: 10 Hz, Period: 0.1 s, Time Shift: 0 s
B. Amplitude: 10, Frequency: 5 Hz, Period: 0.2 s, Time Shift: 0 s
C. Amplitude: 5, Frequency: 10 Hz, Period: 0.1 s, Time Shift: π/10 s
D. Amplitude: 10, Frequency: 5 Hz, Period: 0.2 s, Time Shift: π/10 s
To determine which option has the correct period (T) and frequency (f), we can compare the given values with the equations for T and f. Option C, with an amplitude of 5, a frequency of 10 Hz, a period of 0.1 s, and a time shift of π/10 s, matches the equations T = 2π√(m/k) and f = 1/T. Therefore, option C is the correct answer for the spring-mass system parameters.