Two strings both vibrate at exactly 819 hz. the tension in one of them is then increased slightly. as a result, six beats per second are heard when both strings vibrate. what is the new frequency of the string that was tightened?

The man of mass m1 and the woman of mass m2 are standing on opposite ends of the platform of mass m0 which moves with negligible friction and is initially at rest with s = 0. the man and woman begin to approach each other. derive an expression for the displacement s of the platform when the two meet in terms of the displacement x1 of the man relative to the platform.