Part 1: 1. Select a suitable initial length and mass for the pendulum (for which the
pendulum does not swing too fast or too slow) for example 30 cm and 1.0 kg.
2. Start by displacing the pendulum through a small angle (less than 10°) then
release it.
3. Complete the table below.

Asquare 1m x 1m plate is shown below. all four of its edges are kept at 0 co. at t=0the temperature distribution is given by: y xtsins n75)=.a) using separation of variables determine the temperature distribution t(x,y,t)along the plate at any time t.b) discretize the heat conduction equation +=22222 txtusing a second-order centered difference scheme for the two second derivatives and a first-order forward euler scheme for the first derivative. using von neumann stability analysis, determine the stability criterion for the proposed discretization scheme in terms of , hand t. solve for the maximum allowable time step tmax