A rod 2m long, 2cm in diameter and 5kg in mass is fixed at one end and is stricken by a force to produce a 3rd overtone and elongates at 1cm. A string of length L and mass 750 grams is pulled by a tension of 30 N to produce a 3rd harmonic frequency. Determine the force and length that produces the same value of frequencies in the two materials, if the sound wave produced by the rod was heard 0.25 seconds later by a listener 3 meters away. What are the frequencies produced and speeds of propagation of waves?

A rod 2m long, 2cm in diameter and 5kg in mass is fixed at one end and is stricken by a force to produce a 3rd overtone and elongates at 1cm. A string of length L and mass 750 grams is pulled by a tension of 30 N to produce a 3rd harmonic frequency. Determine the force and length that produces the same value of frequencies in the two materials, if the sound wave produced by the rod was heard 0.25 seconds later by a listener 3 meters away. What are the frequencies produced and speeds of propagation of waves?