Question

a. In the figure below, a string is tied to a sinusoidal oscillator at P and runs over a rigid support at Q, and is stretched by a block of mass m. The separation L - 1.77 m, the linear mu = 16 g/m, and the oscillator frequency f = 125 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. If m = 2.000 kg is needed for the fourth harmonic (with four antinodes) as shown, then find the mass m needed to get the seventh harmonic (with seven antinodes). A stretched string has mass per unit length of 5.78 g/cm and a tension of 14.8 N. A sinusoidal wave on this string has an amplitude of 0.113 mm and a frequency of 147 Hz and is traveling in the negative direction of an x axis. If the wave equation is of the form y(x, t) = y_m sin(kx + omega t), what are (i) y_m (in mm), (i) k, and (iii) omega?

Answer 1

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