what goes for y(x,t) and cos(wt) then?rl.bhat said:In the standing wave, the displacement of the particles of the string is given by
y(x,t) = A*sin(kx)*cos(wt). For all the particles cos(wt) remains constant. When kx = 0, the point is node. When kx = pi/2, the point is anti node, which is at the middle of the string. At L/4, kx must be pi/4. Now find A.
Waves travel through a string by the transfer of energy from one particle to the next. When a disturbance is created at one end of the string, it causes the particles in that section to move, which in turn causes the next section of particles to move, and so on.
Transverse waves and longitudinal waves can both travel through a string. In transverse waves, the particles move perpendicular to the direction of the wave, while in longitudinal waves, the particles move parallel to the direction of the wave.
The tension of the string directly affects the speed of the wave. A higher tension will result in a faster wave speed, while a lower tension will result in a slower wave speed. This is because a higher tension causes the particles to move more quickly, resulting in a faster transfer of energy.
When a wave reaches the end of a string, it is reflected back in the opposite direction. This is known as wave reflection. The reflected wave can interfere with the original wave, resulting in standing waves.
Yes, the amplitude of the wave can change as it travels through the string. This can occur due to factors such as wave interference, damping, or changes in tension. However, the frequency of the wave remains constant as it travels through the string.