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.
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.
Related questions
Question
Transcribed Image Text: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 SI units.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 10 images
