Using your brain and a pen, solve the following problems analytically
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Using your brain and a pen, solve the following problems analytically

4. Using your brain and a pen, solve the following problems analytically (for the bentwire):

a. Vibration frequency of the first mode (ball‐park figure required only) of:

i. Just the wire, and

ii. Wire with a concentrated mass attached

b. Displacement of the structure when loaded at the opposite end with a known load (exact solution or ball‐park answer can be provided.

Hint
EngineeringVibration frequency is a measure of the rate at which oscillations and vibrations occur. Particles vibrating faster than others are said to have a higher frequency. Vibration patterns are determined by the corresponding frequencies. Desirable vibrations include the tuning fork motions and loudspeaker cones. ...
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