A string of mass `m` is fixed at both ends. The fundamental tone oscillations are excited with circular frequency `omega` and maximum displacement amplitude `a_(max)` . Find `:`
`(a)` the maximum kinetic energy of the string,
`(b)` the mean kinetic energy of the string averaged over one oscillation period.

A string is fixed at both end transverse oscillations with amplitude a_(0) are excited. Which of the following statements are correct ?

A string is fixed at both end transverse oscillations with amplitude a_(0) are excited. Which of the following statements are correct ?

A simple pendulum is oscillating with amplitude 'A' and angular frequency ' omega ' . At displacement 'x' from mean position, the ratio of kinetic energy to potential energy is

A simple pendulum is oscillating with amplitude 'A' and angular frequency ' omega ' . At displacement 'x' from mean position, the ratio of kinetic energy to potential energy 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 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.