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3 In this experiment, the Motion Sensor is employed to measure the simple harmonic motion of a mass-spring system. Graphs of position, velocity, and acceleration

3 In this experiment, the Motion Sensor is employed to measure the simple harmonic motion of a mass-spring system. Graphs of position, velocity, and acceleration are shown above. Perform basic measurement on the above graphs. Obtain physical properties such as amplitude A, period T, frequency f, and maximum speed Vmax and acceleration amax and record them on Table 1 and Table 2. Table 1: Position Graph Measurement of Amplitude A, Period T, and Frequency f ymax(m) ymin(m) A(m) t1(s) tN(s) N T(s) f(Hz) Where ymax and ymin are the maximum and minimum positions (displacements) of the motion, amplitude is decided by A = (ymax - ymin )/2, t1 and tN are times for the first peak and last peak (as Nth peak) on the position graph, the average period T is calculated with T = (tN - t1 )/(N-1), and frequency f is 1/T. Table 2: Velocity and Acceleration Graphs Measurement of Maximum Speed Vmax and Acceleration amax Vmax(m/s) measured V*max = A2/T % Difference amax(m/s2) measured a*max = A(2/T)2 % Difference Where Vmax and amax are measured from Velocity and Acceleration Graphs, V*max and a*max are calculated using the values of Table 1

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