Chapter 15.6, Problem 15.194P

A radar system is used to track a new experimental space launch vehicle. Early in the vehicle's flight trajectory, the azimuth angle $\beta$ is increasing with the constant rate $d\beta /dt=20º/s$ . The elevation angle $\Upsilon$ is increasing at the rate $dy/dt=40º/s$ , and this rate is increasing at 5°/s². Knowing that the distance between O and P is 2 m and that at this instant $\beta =0º$ and $\Upsilon =30º$ , determine (a) the angular velocity of the radar system, (b) the angular acceleration of the system, and (c) the velocity and acceleration of point P.

Fig. P15.194