Explain the formation of standing waves in a string clamped at both ends and discuss the various modes of vibration.

(a) Explain the formation of standing waves in an organ pipe closed at one end and discuss the various modes of vibration.

In a standing transerse wave on a string :

The vibrations from an 800 Hz tuning fork set up standing waves in a string clamped at both ends. The wave speed in the string is known to be 400 m//s for the tension used. The standing wave is observed to have four antinodes. How long is the string?

The equation of a standing wave in a string fixed at both its ends is given as y=2A sin kx cos omegat . The amplitude and frequency of a particle vibrating at the point of string midway between a node and an antinode is

Draw a diagram to show the various modes of vibration of a stretched string.

The equation for the fundamental standing sound wave in a tube that is closed at both ends if the tube is 80 cm long and speed of the wave is 330 m//s is (assume that amplitude of wave at antinode to be s_(0) )

A standing wave is produced on a string on a string clamped at one end and free at the other. The length of the string

A string of mass per unit length mu is clamped at both ends such that one end of the string is at x = 0 and the other is at x =l . When string vibrates in fundamental mode, amplitude of the midpoint O of the string is a, tension in a, tension in the string is T and amplitude of vibration is A. Find the total oscillation energy stored in the string.

The equation of a standing wave produced on a string fixed at both ends is y=0.4 "sin"(pix)/(10) cos 600 pi t where y' is measured in om 10 What could be the smallest length of string?

Two strings of the same length but different mass per unit length are used to suspend a rod whose density varies as rho=rho_(0)[1+alphax] as shown in the figure. The frequency of standing waves produced in the string is in the ratio n : 1 , when both the strings are vibrating in their fundamental mode. If the mass per unit length of string (l) is mu_(0) , calculate the mass per unit length of the other string.