The Sierpinski triangle can be implemented in MATLAB by plotting points iteratively according to one of the following three rules that are selected randomly with equal probability. Rule 1: x_n + 1 = 0.5x_n, y_n + 1 = 0.5y_n Rule2: x_n + 1 = 0.5x_n + 0.25, y_n + 1 = 0.5y_n+|( 3)/4 Rule 3: x_n + 1, = 0.5x_n + 0.5, y_n + 1 = 0.5y_n Write a program in a script file that calculates the x and y vectors and then plots y versus x as individual points (use plot (x, y, )). Start with x1 = 0 and y1 = 0. Run the program four times with 10, 100, 1,000, and 10,000 iterations.

On a average work day more than work place firs are reorted

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

Water at 55c flows across a flat plate whose surface temperature is held constant at 95c. if the temperature gradient at the plate's surface for a given value of x is 18 c/mm, find a) local heat transfer coefficient. b) heat flux