you want to measure the mass m of an object but you don\'t have a scale you ther
ID: 1426526 • Letter: Y
Question
you want to measure the mass m of an object but you don't have a scale you therefore decide to attach the object to a string of mass m You want to measure the mass, m, of an object but you don't have a scale. You therefore decide to attach the object to a string of mass, ms (Note m) and length L, as in the figure and to generate standing waves on the string. The wave function which describes the standing wave is given by: where is the wavelength, f is the frequency, and is the phase. a)What value must have to have a node at the origin (x ? b) what is the wavelength, " of the fundamental mode? c) if the fundamental frequency is fo, find the mass of the body.Explanation / Answer
A) phi = (2n+1)*pi/2 where n is an integer. So phi can be pi/2
B) lambda/2 = L => lambda = 2*L Answer
C) V = sqrt(T/mu) = sqrt(mg*L/ms) = lambda*frequency
=> frequency = sqrt(mg/(4ms*L)) Answer
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