Calculate (p) and (p) for the wavefunction, 2 ¥(x)={( L TT X sin L 0 L

Snapshot: This a snapshot at t = 2s of the wave function: Calculate or read from the graph: y(x,t) = Axsin 2 × sin [2x (1-1)] a) Amplitude A, the wavelength A and the wave number k. b) Determine all possible periods T consis- tent with the graph. For the largest pe- riod T calculate the speed of the propaga- tion v. In which direction does the wave propagate (in +x or -x)? c) What is the maximal speed and accelera- tion of the points along the wave? y(m) 2 1 1 2 3 4 x(m)

Examine the wave function below. Suppose there is a point that goes from y = 2 mm to y = 6 mm. How long does it take for the point to make the move?

Two pendula of length, I and mass, m are connected by a spring with spring constant, k. If k/m g/l then what is the ratio of the highest frequency normal mode to the lowest frequency normal mode?