A string 120 cm in length sustains standing wave with the points of the string at which the displacement amplitude is equal to 3.5 mm being separated by 15.0 cm. The maximum displacement amplitude is X. 95 mm then find out the value of X.

A string 120 cm in length sustains a standing wave, with the points of the string at which the displacement amplitude is equal to 3.5 mm being separated by 15.0cm. Find the maximum displacement amplitude. To which overtone do these oscillations correspond ?

A standing wave exists in string of length 150 cm fixed at both ends. The displacement amplitude of a point at a distance of 10 cm from one of ends if 5sqrt(3)mm . The distance between two nearest points, within the same loop having the same displacement amplitude of 5sqrt(3) is 10 nm. The maximum displacement amplitude of the particle in the string is,:

Two sine waves of same frequency and amplitude, travel on a stretched string in opposite directions. Speed of each wave is 10 cm/s. These two waves superimpose to form a standing wave pattern on the string. The maximum amplitude in the standing wave pattern is 0.5 mm. The figure shows the snapshot of the string at t = 0.Write the equation of the two travelling waves.

A wave travelling on a string at a speed of 10 ms^-1 causes each particle of the string to oscillate with a time period of 20 ms. (a) What is the wavelength of the wave ? (b) If the displacement of a particle is 1.5 mm at a certain instant, what will be the displacement of a particle 10 cm away from it at the same instant ?

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.

A point performs damped oscilaltions with frequency omega and dampled coefficient beta . Find the velocity amplitude of the point as a function of time t if at the moment t=0 (a) its displacement amplitude is equal to a_(0), (b) the displacement of the point x(0)=0 and its velocity projection v_(x(0)=dot(x_(0))

(i) The equation of wave in a string fixed at both end is y = 2 sin pi t cos pi x . Find the phase difference between oscillations of two points located at x = 0.4 m and x = 0.6 m . (ii) A string having length L is under tension with both the ends free to move. Standing wave is set in the string and the shape of the string at time t = 0 is as shown in the figure. Both ends are at extreme. The string is back in the same shape after regular intervals of time equal to T and the maximum displacement of the free ends at any instant is A. Write the equation of the standing wave.