er ent ey FULL SCREEN PRINTER VERSION BACK NEXT Chapter 16, Problem 058 In the f

Question

er ent ey FULL SCREEN PRINTER VERSION BACK NEXT Chapter 16, Problem 058 In the figure, a string, tied to a sinusoidal oscillator at P and running over a support at Q, is stretched by a block of mass m. Separatio 1.3 m, linear density u - 1.7 /m, and the oscilator freauency 150 Hz. The ampltude of the mot be considered a node. A node also exists at Q. y.pd (a) What mass m allows the oscillator to set up the fourth harmonic on the string? ave mode, if any, can be set up if m 4 kg (Give 0 if the mass cannot set up a standing wave)? OscillatorP itations I. nsion IN2 t2.pdf (a) Number Units t 2.pdf t 3.pdf (b) Number Units rt.pdf

Explanation / Answer

Solution :-

a) mass m = 4 L2 f2 mu / n2 g

= (4 * 1.32 * 1502 * 1.7 * 10-3) / (42 * 9.8)

mass m = 6.596 kg

b)  m = 4 L2 f2 mu / n2 g

2 = (4 * 1.32 * 1502 * 1.7* 10-3) / (n2 * 9.8)

n2 = (4 * 1.32 * 1502 * 1.7* 10-3) / (2 * 9.8)

n = 3.6318

As n is not integer so it cannot form standing waves = 0

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