logarithmic decrement proof

The video tutorial explains logarithmic decrement, an experimental method to determine the dampening ratio in underdamped systems. It revisits the concept of underdamped motion using a spring-mass-dampener system and derives the equation of motion. The tutorial defines delta as the natural logarithm of the ratio of successive amplitudes and simplifies the expression to find the dampening ratio. The video concludes by highlighting the importance of logarithmic decrement in understanding vibrations and determining the dampening constant.

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