One end of a string with a linear mass density of 6.3 x 10-4 kg/m is connected to an oscillator with a frequency of 65 Hz. The other end is connected to a hanging variable mass, as shown in the figure below. The string passes over a pulley, and the string between the oscillator and the pulley can vibrate freely. The length of the vibrating section of the string is 0.5 m. String vibrator Frictionless dm constant dx pulley Hanging m mass a) What mass must be attached so that the string vibrates with one antinode between the pulley and the oscillator? kg b) What mass must be attached so that the string vibrates with three antinodes between the pulley and the oscillator? kg

One end of a string with a linear mass density of 6.3 x 10-4 kg/m is connected to an oscillator with a frequency of 65 Hz. The other end is connected to a hanging variable mass, as shown in the figure below. The string passes over a pulley, and the string between the oscillator and the pulley can vibrate freely. The length of the vibrating section of the string is 0.5 m. String vibrator Frictionless dm constant dx pulley Hanging m mass a) What mass must be attached so that the string vibrates with one antinode between the pulley and the oscillator? kg b) What mass must be attached so that the string vibrates with three antinodes between the pulley and the oscillator? kg