Streaklines are traced out by neutrally buoyant marker fluid injected into a flow field from a fixed point in space. A particle of the marker fluid that is at a point (x, y) at time t must have passed through the injection point (xo, yo) at some earlier instant t = τ . The initial history of a marker particle may be found by solving the pathline equations for the initial conditions that x = xo, y = yo when t = τ. The present locations of particles on the streakline are obtained by setting equal τ to values in the range 0 <= τ <= t. Consider the flow field V = ax (1 +bt) i^ + cyj^, where a = c = 1s^-1 and b = 0.2 s^-1. Coordinates are measured in meters.
1. Plot the streakline that passes through the initial point (xo. yo) = (1,1), during the interval from t = 0 to t = 3s.

Burgers vector is generally parallel to the dislocation line. a)-true b)-false

Assuming compressible flow of air and that the measurements are done at flagstaff a pitot static tube that gives the difference of total and static pressure measures 0.35 m of mercury. what is the velocity of air? assume the temperature to be 300k. (submit your excel or matlab calculation sheet)

Tom is having a problem with his washing machine. he notices that the machine vibrates violently at a frequency of 1500 rpm due to an unknown rotating unbalance. the machine is mounted on 4 springs each having a stiffness of 10 kn/m. tom wishes to add an undamped vibration absorber attached by a spring under the machine the machine working frequency ranges between 800 rpm to 2000 rpm and its total mass while loaded is assumed to be 80 kg a) what should be the mass of the absorber added to the machine so that the natural frequency falls outside the working range? b) after a first trial of an absorber using a mass of 35 kg, the amplitude of the oscillation was found to be 10 cm. what is the value of the rotating unbalance? c) using me-3.5 kg.m, find the optimal absorber (by minimizing its mass). what would be the amplitude of the oscillation of the absorber?