1- CHENG 316 Assignment 1 14/02/2022 Submission deadline: 21/02/2022 Please work in groups. There will be only one submission per group. Excel sheet will not be accepted as an answer sheet The amount of a uniformly distributed radioactive contaminant contained in a closed reactor is measured by its concentration c (becquerelliter or Bq/L). The contaminant decreases at a decay rate proportional to its concentration, that is Decay rate =-kC where k is a constant with units of day! (a) Use Euler's method to find the time required to reduce the concentration from 300 to 150 Bq/L by using a step size of At = 0.2d and k = 0.2d! (b) Plot the solution on a semilog graph (i.e., In c versus t) 2. As depicted in the below figure, the downward deflection, ym), of a cantilever beam with a uniform load, w=10,000 kg/m, can be computed as WC-4Lx' +6232) 24EI where x = distance (m), Ethe modulus of elasticity=2x10' Pa./= moment of inertia = 3.25 * 10*m', and L-length = 4m. This equation can be differentiated to yield the slope of the downward deflection as a function of x. dy dx24EI (4x! - 1212 +121) If y=0 at x = 0, use this equation with Euler's method (Ar=0.125m) to compute the deflection from r=0 to L. Develop a plot of your results along with the analytical solution computed with the first equation x=0 x=1 0