$2\mathrm{.}4$ A $60,000lb$ aircraft makes a $2$ wheel landing at $12f\frac{t}{s},$ as shown. When the aircraft hits the ground vertical and horizontal reactions of $270,000$ and $90,000lbs,$ respectively, are experienced.

Find: a$)$ the vertical, horizontal and angular accelerations of the GPS$.$

b$)$ the reaction forces holding on a GPS pod at touch down, as shown

Use: $I_{Gy}=5,000,000$ in $-lb-s^2$ and assume $T=D$ and $L=0.$ Also, $I_{GPS}0$ and $w_{GPS}=1lb$