A thin taut string tied at both ends and oscillating in its third harmonic has its shape described by the equation y(x,t) = (5.60 cm) sin [(0.0340 "rad"/cm)x] sin [(50.0 "rad"/s)t] , where the origin is at the left end of the string, the x-axis is along the string and the y-axis is perpendicular to the string. (a) Draw a sketch that shows the standing wave pattern. (b)Find the amplitude of the two travelling waves that make up this standing wave. (c) What is the length of the string? (d) Find the wavelength, frequency, period and speed of the travelling wave. (e) Find the maximum transverse speed of a point on the string. (f) What would be the equation y(x,t) for this string if it were vibrating in its eighth harmonic?

Is their any relationship between wave speed and the maximum partcle speed for a wave travelling on a string? If so, what is it?

A transverse wave travelling in a string produce maximum transverse velocity of 3 m//s and maximum transverse acceleration 90 m//s^(2) in a particle. If the velocity of wave in the string is 20 m//s . Datermine the equation of the wave ?

In a stationary wave represented by y=4sin(omega t) cos(kx) cm, the amplitude of the component progressive wave is

Figure shows a wave pulse at t=0. The pulse moves to the right with a speed of 10cms^-1. Sketch the shape of the string at t=1s, 2s and 3s.

The figure represents two snaps of a travelling wave on a string of mass per unit length mu=0.25 kg//m . The first snap is taken at t=0 and the second is taken at t=0.05 s . Determine the speed of the wave. Determine the frequency of the wave.

A transverse mechanical harmonic wave is travellling on a string. Maximum velocity and maximum acceleration of a particle on the string are 3m//s and 90 m//s^(2) , respectively. If the wave is travelling with a speed of 20 m//s on the string, write wave function describing the wave. \

A uniform circular hoop of string is rotating clockwise in the absence of gravity. The tangential speed is v_(0) . Find the speed of the wave travelling on this string.

A transverse wave is travelling along a string from right to left. The figure represents the shape of the string at the given instant. A point M has a velocity

A transverse sinusoidal wave of amplitude a, wavelength lamda and frequency f is travelling on a stretched string. The maximum speed of any point on the string is v/10, where v is the speed of propagation of the wave. If a = 10^(-3) m and y = 10m/s, then lamda and f are given by