Question

1). One end of a horizontal string is attached to a small amplitude mechanical 120 Hz oscillator. The string’s mass per unit length is 3.5x10^-4 kg/m. The string passes over a pulley, a distance 1.50 m away, and a mass of 185 g is hung from this end, figure shown below. Consider that both ends of the string (at the oscillator and at the pulley) are fixed (nearly true). Hint: find the tension force of the string from the mass.

A). A standing wave between the oscillator and the pulley is observed. What is the mode number (the number of antinodes; the higher harmonics) of the standing wave?

B). Draw a neat diagram showing the standing wave.

2). An organ pipe is 116 cm long, and one end of the pipe is closed and open at the other end. A sound wave travels from the open end into the pipe and creates a standing wave in the pipe.

A). Determine the fundamental frequency and the next overtone frequency.

B). Draw standing waves (not air pressure) for each frequency.

Answer 1