Table 1 - Position and number of oscillations for a mass-spring Mass of disc(s) + platform (g) ±0.5 g Position of the platform (cm) +0.3 cm 51.4 151.2 251.0 351.4 451.2 551.6 31.1 42.8 55.3 66.8 77.1 88.2 system with different hanging masses. # of oscillations for 1 minute ±1 86 62 51 44 39 36 Using the data from Table 1 in the experimental details, calculate "the uncertainty of the square of the period of oscillation (in s²) for a hanging mass of 151.2 g" using the propagation of error method. You must consider the uncertainty on the time measured and the number of oscillations given in the experimental details. Round your answer to 3 decimal places.
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
Note the square of the period of oscillation for a hanging mass of 151.2 g is 0.937s^2..... (calculate it to get more decimals)
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