You are hanging onto the end of a long rope, the other end of which is attached to a Coast Guard helicopter. Model yourself as a particle of mass
M = 52.8 kg
with a diameter equal to 0.540 m. The density of the air is
ρ = 1.29 kg/m3.
Assume the drag coefficient between you and the air is
C = 0.495.
Now, at time
t = 0,
the helicopter begins to accelerate horizontally with an acceleration
a = 2.80 m/s2.
(Assume an initial velocity of 35.5 m/s.)
(a) If we ignore the effect of the air drag force, what is the angle of the rope with the vertical?
°
(b) Suppose in this case where the helicopter accelerates we also consider the drag force due to the air. Derive an expression for the angle made by the rope with the vertical as a function of time. (Do not include units in your answer.)
tan θ =