Answer:
(a) Tension, T = 28.653 kN
(b) Wind resistance force,
Solution:
As per the question:
Mass of the car, m = 1000 kg
Speed of the helicopter, v = 25 m/s
Angle made by the rope,
Now,
(a) To calculate the tension, T in the car:
Tension along the direction of motion,
Tension along the vertical direction,
Now, let the force due to the wind directed in the opposite direction of the motion be and it balances the horizontal component of the tension, T.
The vertical component is balance by the weight of the car, i.e., mg that acts vertically downwards.
Now,
T = 28653 N = 28.653 kN
(b) The force of the wind resistance:
(c) Now,
- If the angle made by the rope with the vertical is
:
The tension in the rope will be equal to the weight the car.
Wind resistance force,
- If the angle made by the rope with the vertical is
:
T = 0 N
Wind resistance force,
There will be no tension in the rope and wind resistance will be infinite.