Period vs Mass Straighten the Curve (11 pts) 1.5 Mass T (kg) 0.200 (s) 0.562 1.0 0.400 0.795 0.600 0.973 0.800 1.12 1.000 1.26 0.5 A series of masses are attached to a vertical spring and set in oscillation. After analyzing the experimental data the relationship between Period and Mass is found to be nonlinear. The data table produced and the corresponding graph are shown above and right. In order to find the exact relation you will need to straighten the curve by making a new table of values and a new linear graph. Also find the slope, the equation of the line, and the value of the spring constant. 0.0 0.0 0.2 0.4 0.6 0.8 1.0 Mass (kg) Period (s)
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.
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