The equation of a standing wave in a string fixed at both ends is given as y=2 A sin kx - Physics - Waves

Question

The equation of a standing wave in a string fixed at both ends is
given as y=2 A sin kx cos ?t The amplitude and frequency of a
particle vibrating at the mid of an antinode and node are?

Saroj Jain · Accepted Answer

Dear Student,
Comparing with standing wave standard equation:
y=2Asinkx coswtAmplitude of any point = 2Asinkxk = 2πλnode at x = 0 (Amplitude is minimum)Antinode at x =λ4 (Amplitude is maximum)Mid way = x = λ8Amplitude = 2Asin(2πλ)(λ8)= 2Asinπ4= 2AFrequency of all the particles = ω2π
Regards

The equation of a standing wave in a string fixed at both ends is given as y=2 A sin kx cos ?t The amplitude and frequency of a particle vibrating at the mid of an antinode and node are?