Question

If a body with mass is accelerated and a transverse pulse is generated at one of its end will it affect motion of pulse and how

Answer 1

Yes, the acceleration of the body will affect the motion of the pulse. It does so by changing the internal properties of the body (such as tension or stress and density) which determine the speed of the pulse.

Answer 2

The speed of a transverse pulse in a medium depends on the elastic properties and the inertia of the medium. For a transverse pulse on a string or rod, the speed is given by $v = \sqrt{T/\mu}$, where $T$ is the tension and $\mu$ is the linear mass density.

If a body with mass is accelerated, it means there is a net force acting on it. This external force can induce or alter the internal stresses (like tension) and potentially the density distribution within the body, especially if the body has significant mass and is deformable.

Since the speed of the pulse depends on these internal properties of the medium, any change in these properties due to the acceleration will affect the speed of the pulse.

Therefore, the acceleration of the body will affect the motion (specifically, the speed) of the pulse. The effect is that the pulse speed will change, and it might even vary along the medium if the internal properties are not uniform due to the acceleration.