1. The problem statement, all variables and given/known data In Fig. below, a string, tied to a sinusoidal oscillator at P and running over a support at Q, is stretched by a block of mass m.The separation L between P and Q is 2.30 m, and the frequency f of the oscillator is fixed at 142 Hz. The amplitude of the motion at P is small enough for that point to be considered a node. A node also exists at Q. A standing wave appears when the mass of the hanging block is 3503.5 g or 2574.0 g, but not for any intermediate mass. What is the linear density (in g/m) of the string? 2. Relevant equations image: http://edugen.wiley.com/edugen/courses/crs1650/art/qb/qu/c16/pict_16_60.gif 3. The attempt at a solution i'm confused because if two masses can make a standing wave, that would suggest two different tensions as well.... and wouldn't this also suggest two different linear desnities?? i have no idea how to go about this problem... if i were to guess, i would use f=v/wavelength to get v....but i don't know if I could assume the wavelength because the way the figure is drawn...because in the figure, the wavelength is obvious, but maybe the figure is just an example and not actually representative of whats happening....but if I do use the figure, then i can solve for v...then with v=(T/u)^.5...where T is tension and u is linear density, then i can solve for desnity, except I have two tensions to pick from.... other than that i'm lost...any help???