LL1

B. A student graphs frequency as a function of the inverse of the linear mass density. Will the graph be linear? Explain how you arrived at your answer.

For combining v = f l with v = F (m L) (or referring to such an equation written in part (a)) Indicate how the equation leads to the conclusion that frequency would not be proportional to the inverse of the linear mass density

C. The frequency of the oscillator connected to string D is changed so that the string vibrates in its second harmonic. On the side view of string D below, mark and label the points on the string that have the greatest average vertical speed.

The second harmonic on the string, or a wave drawn such that λ=2 L . The antinodes of the second harmonic, or at the antinodes of any standing wave drawn on the string

A. What is different about the four strings shown above that would result in their having different fundamental frequencies? Explain how you arrived at your answer.

The strings all have the same length, and since the wavelength of the fundamental depends on the length, all four waves have the same wavelength (λ=2L ) Since the wavelengths are all the same, different frequencies correspond to different velocities of the waves on the strings All the string tensions are the same due to the same mass M of each block, and therefore the linear mass densities must be different for different velocities since v = F (m L) (or since the vertical component of T the tension will result in different vertical accelerations for strings with different masses)