A tuning fork is held a certain distance from your ears and struck. Your eardrums’ vibrations after t seconds are given by p = 3 sin 2t. When a second tuning fork is struck, the formula p = 2sin(2t + π) describes the effects of the sound on the eardrums’ vibrations. The total vibrations are given by p = 3 sin 2t + 2 sin(2t + π). Solve, a. Simplify p to a single term containing the sine. b. If the amplitude of p is zero, no sound is heard. Based on your equation in part (a), does this occur with the two tuning forks in this exercise? Explain your answer.

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Stretched string

A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency and same amplitude. The waves or pulses are traveling in alternate directions and superimpose with one another. This waveform is named standing or stationary waves.