Calculate Upward Force & Tension for Helicopter & Truck

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To solve the problem, first calculate the net upward force on the helicopter blades by considering the total weight of the helicopter and the truck along with the upward acceleration. The tension in the cable can be determined by analyzing the forces acting on the truck, which includes its weight and the force needed for the upward acceleration. The weight of the truck is 44,145 N (4500 kg x 9.81 m/s²), and the force required to accelerate it at 1.4 m/s² is 6,300 N (4500 kg x 1.4 m/s²). By summing these forces, the tension in the cable can be found. This approach effectively relates the forces acting on both the helicopter and the truck.
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Homework Statement


A 15,000 kg helicopter lifts a 4500 kg truck with an upward acceleration of 1.4 m/s2.
Calculate (a) the net upward force on the helicopter blades from the air and (b) the tension in
the cable between helicopter and truck.

Homework Equations



T = mg

The Attempt at a Solution



I was able to calculate the upward force, but I am having difficulty finding out how to calculate the tension. I know that the truck is pulling the heli with the force of gravity, and the helicopter is pulling the truck with the upward force. But how do I relate the two?
 
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Hint: If the truck was sat on the [frictionless] ground, how much force would be required to accelerate it at 1.4m.s-2? What is the weight of the truck? How do you sum forces?
 
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