2. The total energy E,(kınetic + potential) = mwž (Af + B; )/4 of a normal mode may be found by an alternatıve method, where each section dr of the string is treated as a sımple harmonic oscillator with the total energy cqual to the maxımum kınetue energy of oscillation k. emax = pdx(y;)max =pdxwž(})max If the value of (y)max at a point x on the string is given by G)max = (Až + Bž ) sın * (a) Show that the sum of the energies of the osciıllators along the string, that 1s, the integral gives the expected result (b) What is the implıcation of the result on the conversation of energy? (Note, the normal freguency w. = nnc/l.)
2. The total energy E,(kınetic + potential) = mwž (Af + B; )/4 of a normal mode may be found by an alternatıve method, where each section dr of the string is treated as a sımple harmonic oscillator with the total energy cqual to the maxımum kınetue energy of oscillation k. emax = pdx(y;)max =pdxwž(})max If the value of (y)max at a point x on the string is given by G)max = (Až + Bž ) sın * (a) Show that the sum of the energies of the osciıllators along the string, that 1s, the integral gives the expected result (b) What is the implıcation of the result on the conversation of energy? (Note, the normal freguency w. = nnc/l.)
Related questions
Question
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 3 steps