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b) Two progressive waves y1(x,t) = A sin (#x - wt) and y2(x, t) = A sin (#x – wt – 5) travel in the same direction. Calculate the amplitude and speed of the wave produced as a result of interference of these two waves. Take A = 5 cm, A = 4 m and w = 31.4 Hz. c) A string of 1 m length clamped at both ends is plucked in the middle to generate a standing wave. Take the frequency of the first harmonic to be 10 Hz and the amplitude of the oscil- lations to be 2 cm. Consider the motion to be a simple harmonic one where appropriate. Calculate: i) The speed of the progressive waves that result in the standing wave.

b) Two progressive waves y1(x,t) = A sin (#x - wt) and y2(x, t) = A sin (#x – wt – 5) travel in the same direction. Calculate the amplitude and speed of the wave produced as a result of interference of these two waves. Take A = 5 cm, A = 4 m and w = 31.4 Hz. c) A string of 1 m length clamped at both ends is plucked in the middle to generate a standing wave. Take the frequency of the first harmonic to be 10 Hz and the amplitude of the oscil- lations to be 2 cm. Consider the motion to be a simple harmonic one where appropriate. Calculate: i) The speed of the progressive waves that result in the standing wave.

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Need help on question b) and c)

b) Two progressive waves y1 (r, t) = A sin (r – wt) and y2(x, t) = A sin (r – wt – ) travel in the same direction. Calculate the amplitude and speed of the wave produced as a result of interference of these two waves. Take A = 5 cm, A = 4 m and w = 31.4 Hz. c) A string of 1 m length clamped at both ends is plucked in the middle to generate a standing wave. Take the frequency of the first harmonic to be 10 Hz and the amplitude of the oscil- lations to be 2 cm. Consider the motion to be a simple harmonic one where appropriate. Calculate: i) The speed of the progressive waves that result in the standing wave. ii) The amplitude of the progressive waves that result in the standing wave. iii) The value of maximum velocity of up and down motion of the string at midpoint. Provide your answers in Sl units.
Transcribed Image Text:b) Two progressive waves y1 (r, t) = A sin (r – wt) and y2(x, t) = A sin (r – wt – ) travel in the same direction. Calculate the amplitude and speed of the wave produced as a result of interference of these two waves. Take A = 5 cm, A = 4 m and w = 31.4 Hz. c) A string of 1 m length clamped at both ends is plucked in the middle to generate a standing wave. Take the frequency of the first harmonic to be 10 Hz and the amplitude of the oscil- lations to be 2 cm. Consider the motion to be a simple harmonic one where appropriate. Calculate: i) The speed of the progressive waves that result in the standing wave. ii) The amplitude of the progressive waves that result in the standing wave. iii) The value of maximum velocity of up and down motion of the string at midpoint. Provide your answers in Sl units.
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