Question

Violin plucked at half distance find wave equation

Answer 1

When the end of a string is fixed, the displacement of the string at that end must be zero. A transverse wave travelling along the string towards a fixed end will be reflected in the opposite direction. When a string is fixed at both ends, two waves travelling in opposite directions simply bounce back and forth between the ends.

When the end of a string is fixed, the displacement of the string at that end must be zero. A transverse wave travelling along the string towards a fixed end will be reflected in the opposite direction. When a string is fixed at both ends, two waves travelling in opposite directions simply bounce back and forth between the ends.The vibrational behavior of the string depends on the frequency (and wavelenth) of the waves reflecting back and forth from the ends.

is the speed of transverse mechanical waves on the string, L is the string length, and n is an integer. At any other frequencies, the string will not vibrate with any significant amplitude. The resonance frequencies of the fixed-fixed string are harmonics (integer multiples) of the fundamental frequency (n=1).

is the speed of transverse mechanical waves on the string, L is the string length, and n is an integer. At any other frequencies, the string will not vibrate with any significant amplitude. The resonance frequencies of the fixed-fixed string are harmonics (integer multiples) of the fundamental frequency (n=1).The vibrational pattern (mode shape) of the string at resonance will have the form

is the speed of transverse mechanical waves on the string, L is the string length, and n is an integer. At any other frequencies, the string will not vibrate with any significant amplitude. The resonance frequencies of the fixed-fixed string are harmonics (integer multiples) of the fundamental frequency (n=1).The vibrational pattern (mode shape) of the string at resonance will have the form.

is the speed of transverse mechanical waves on the string, L is the string length, and n is an integer. At any other frequencies, the string will not vibrate with any significant amplitude. The resonance frequencies of the fixed-fixed string are harmonics (integer multiples) of the fundamental frequency (n=1).The vibrational pattern (mode shape) of the string at resonance will have the form.This equation represents a standing wave. There will be locations on the string which undergo maximum displacement (antinodes) and locations which to not move at all (nodes). In fact, the string may be touched at a node without altering the string vibration. The animation below shows the vibration of a fixed-fixed string in its first four resonant modes.

Answer 2

Explanation:

The speed of the waves on the strings, and the wavelength, determine the ..... Recall that the linear wave equation is. ∂2y(x ..... The string is plucked, sending a pulse down