what are the three mode frequencies
Answers
Answer:
Step-by-step explanation:
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Usually an object can vibrate at different frequencies. There is a lowest frequency, the ground mode, but higher frequencies are possible. The details depend on the shape and materiel properties of the vibrating body. In the most simple case the higher frequencies are multiples of the base frequency, in which case they are also called harmonics. The common case, though, is that there are much more frequencies. A simple example is a guitar string already providing a rather complex spectrum, i.e. mixture of frequencies. In this simple "1D" case the the possible frequencies are given by the possible nodes on the string. Imagine a string with length L then there is a frequency corresponding to a movement with just two nodes at the end, the fundamental mode. The next higher frequency is given by one additional node in the middle, then 2 etc. with more nodes, the string has to bend more, you store more elastic energy and the force to drive it back to equilibrium becomes stronger. The string moves faster and sound is higher. In higher dimensions it is more complicated, but in principle the number of nodes increases with increasing energy and frequency, while counting or naming modes might not be unique any more. Also note that the shape and mechanical properties uniquely define the spectrum, i.e. the possible frequencies at which a body can vibrate, but knowing the spectrum does not necessarily lets you calculate the shape
Long story short: Yes, a body vibrates at different frequencies, the more nodes the vibration, the higher the frequency. Modes are numbered with increasing frequency/energy (if unique and therefore possible)