3. (10 pts.) A glider of mass m-320kg is towed by an airplane. Both aircraft are

Question

3. (10 pts.) A glider of mass m-320kg is towed by an airplane. Both aircraft are flying horizontally at constant velocity with the airplane slightly higher. The cable connecting them, of negligible mass, makes an angle of -450 with the horizontal. If the drag force on the glider has a magnitude FDG-180N, calculate (a) the tension force in the cable and (b) the lift force generated by the glider's wings. (c) If the drag force on the airplane is FoA 77ON, calculate the thrust force required to maintain constant speed.

Explanation / Answer

3. (A) constant velocity means a = 0

in horizontal,

Fnet = T cos45 - Fdrag = 0

T = 180 / cos45 = 254.6 N

(B) in vertical,

F + Tsin45 - m g = 0

F = (320 x9.8) - (254.6 sin45)

F = 2956 N  

(C) on airplane.

Fth - T cos45 - Fdrag = 0

Fth = 180 + 770

= 950 N

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