Hint: The square plate rates about axis AB. Therefore, A is a point that the plate rotates about, so you can use the following equation for H: = L. Hint 2: The square plate's inertia tensor is unknown using the xyz coordinates in the orientation shown. You will need to use tilted axes in your analysis. Check your solution: HA maw = 12 (3j+2k), HA ma = 12 (2w + 3+2 k) Problem 1. A thin homogenous square of mass m and side length a is welded to a massless shaft AB with which it forms an angle of 45. Knowing that the shaft rotates with an angular velocity = w and an angular acceleration a = a . Determine: a. The angular momentum about A. i.e., A. (symbolically, in terms of m, a, w). b. The time rate change of angular momentum about A. i.e., A. (Symbolically, in terms of m, a, w, ). In both parts, write down the solution using the xyz coordinate system shown in the problem figure. N 45 B x