Q3. Assume that m= 5 grams in Q2, and L = 20 m. Both the beam and the mass are made of silicon (E = 190 GPa, density=2.3 g/cm). Find the spring constant for the beam, if the beam is 48 m wide and 1 m thick. (10 points) Suppose now that the mass is pulled down 5 m, and then released. Note that after pulling the mass down, the system reached zero speed at that distance, just before releasing (hint: initial conditions). Find an expression for the amplitude of vibration for this beam (20 points). From that expression, find the maximum amplitude of vibration. (5 points)