Problem 2 (20 points) A xylophone is a musical instrument that consists of steel bars nailed to two wooden beams. The nails are positioned at and %of the length of the bar. One of the bars is drawn below. A standing wave is set up in the bar when it is struck in the middle with a hammer a) label the locations of the nodes and antinodes in the drawing above b) Determine how many wavelengths of the fundamental frequency will" on the rod. c) Derive a formula for the length of the rod in terms of the desired frequency and the speed of transverse waves in steel. d) Use this formula to calculate the length of rods that you would need to cut to make a 5 note xylophone with the notes C (264 Hz) D(297 Hz) E(330 Hz) F(352 Hz) and Gl396 Hz) The speed of a transverse wave in steel is 63.3 m/s. Problem 2 (20 points) A xylophone is a musical instrument that consists of steel bars nailed to two wooden beams. The nails are positioned at and %of the length of the bar. One of the bars is drawn below. A standing wave is set up in the bar when it is struck in the middle with a hammer a) label the locations of the nodes and antinodes in the drawing above b) Determine how many wavelengths of the fundamental frequency will" on the rod. c) Derive a formula for the length of the rod in terms of the desired frequency and the speed of transverse waves in steel. d) Use this formula to calculate the length of rods that you would need to cut to make a 5 note xylophone with the notes C (264 Hz) D(297 Hz) E(330 Hz) F(352 Hz) and Gl396 Hz) The speed of a transverse wave in steel is 63.3 m/s