Questions 1-5 please!

1. Find the frequencies and note names of the first five normal modes of a drumhead (just the drumhead, not mounted on a body) which has the note C2 as its fundamental. 2. If you strike a marimba bar in its center, how strong will the first normal mode be? Explain. 3. If you strike a tympani in its center, which modes will be strong in its sound recipe? Explain. 4. Find the frequencies and note names for the first three normal modes of a regular bar which has the note C2 as its fundamental. This bar has not been shaped. 5. The bar in problem 4 is now shaped by shaving away some material around the center. Will its fundamental still be C2? If not, will the new fundamental be a higher or lower pitch? Explain why. Think about stiffness and restoring force