Question

Review Select the correct equation for Newton's second law for the mass before the launch and during takeoff. View Available Hint(s) Just before launching from earth, an astronaut ties a small mass m to the ceiling of his cockpit using a string of length L and mass per unit length . The mass of the string is significantly smaller than the mass of the tied object. He then plucks the string and measures the frequency of its n 1 and n=2 standing waves. As his rocket takes off, with an acceleration of a, he repeats the measurement in terms of mga L, and O Before launch 0-T + mg, during take off ma-T + mg O Before launch: ma-T + mg, during take off 0-T + mg O Before launch: ma-T-mg during take off-T - mg O Before launch: 0 -T-mg, during take off ma-1-ng a derive an expression for the tension in the string before and during takeoff b. derive an expression for the speed of a wave on the string before and during take of c. find the frequency of the n = 1 and 2 standing-wave modes before and during take off d. What acceleration must the rocket have so that the frequency of the 2 mode before the launch is equal to the n=1 mode during Submit Part C Write down the equation for the speed of a wave on a string Express your answer in terms of some or all the variables T. 9, and L. V AED Submit Part D Write down the equation for the frequency of a standing wave on a string Express your answer in terms of some or all the variables w., L, and .

Answer 1

Understanding of Newtonian mechanics and standing waves is required to solve this question.

2 Before take off After take off. - Tension T = mg Tension T = ng tua wave speed of standing ware, 2 we know, speed of wave " u = 3 - 1 mg v=1mora) fon nth harmonic o frequenty for nth harmonic

- /m/gta) 1 megta) - M 2 Now, , 2% in case ③ = 2, in case case 1 case 9- %** [a=39] : aceloration: 39