A string tied between `x = 0 and x = l` vibrates in fundamental mode. The amplitude `A`, tension `T` and mass per unit length `mu` is given. Find the total energy 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.

A string of mass 'm' and length l , fixed at both ends is vibrating in its fundamental mode. The maximum amplitude is 'a' and the tension in the string is 'T' . If the energy of vibrations of the string is (pi^(2)a^(2)T)/(etaL) . Find eta

A string of mass 'm' and length l , fixed at both ends is vibrating in its fundamental mode. The maximum amplitude is 'a' and the tension in the string is 'T' . If the energy of vibrations of the string is (pi^(2)a^(2)T)/(etaL) . Find eta

Two stretched strings of same material are vibrating under the force vibration having sae tension in fundamental mode. The ratio of their frequencies is 1:4 and ratio of the length of the vibrating segments is 1:8 the, the ratio of the radii of the strings is

A string of length L fixed at both ends vibrates in its fundamental mode at a frequency v and a maximum amplitude A. (a) Find the wavelength and the wave number k. (b) Take the origin at one end of the string and the X-axis along the string. Take the Y-axis along the direction of the displacement. Take t = 0 at the instant when the middle point of the string passes through its mean position and is going towards the positive y-direction. Write the equation describing the standing wave.

A string of length 1.5 m with its two ends clamped is vibrating in fundamental mode. Amplitude at the centre of the string is 4 mm. Minimum distance between the two points having amplitude 2 mm is: