Force f → = (−8.0 n)iˆ + (6.0 n)jˆ acts on a particle with position vector r → = (3.0 m)iˆ + (4.0 m)jˆ. what are (a) the torque on the particle about the origin, in unit-vector notation, and (b) the angle between the directions of r → and f → ?

The rocket is fired vertically and tracked by the radar station shown. when θ reaches 66°, other corresponding measurements give the values r = 32700 ft, r¨ = 85 ft/sec2, and θ˙ = 0.019 rad/sec. calculate the magnitudes of the velocity and acceleration of the rocket at this position.

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

Aviolently rotating column of air is formed around a region of extremely low air pressure above land. which of these weather conditions is most likely to follow? blizzard cyclone tornado hurricane