Describe the relationship between length and period. Is it linear or nonlinear?* b. When plotting data for mass and initial angle and corresponding periods, does period depend on mass and initial angle? What would the data look like? c. when experimentally testing to see if period depends on mass/initial angle, why does it not matter what mass one uses any size mass on the pendulum to test if angle alters period?
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.
A student is taking part in a pendulum lab. They realize that period only depends on length of pendulum. Look at a plot of period vs. length.
a. Describe the relationship between length and period. Is it linear or nonlinear?*
b. When plotting data for mass and initial angle and corresponding periods, does period depend on mass and initial angle? What would the data look like?
c. when experimentally testing to see if period depends on mass/initial angle, why does it not matter what mass one uses any size mass on the pendulum to test if angle alters period? Is this because changing mass does not alter the period length, and thus using ANY mass is telling of what affect the angle has on period?
*I was told this was non linear. Is this right, and if so, why?
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