Asolid 0.6350 kg ball rolls without slipping down a track toward a vertical loop of radius r=0.8950 m.

what minimum translational speed vmin must the ball have when it is a height h=1.329 m above the bottom of the loop in order to complete the loop without falling off the track?

assume that the radius of the ball itself is much smaller than the loop radius r. use g=9.810 m/s2 for the acceleration due to gravity.

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