Calculate Upward Force & Tension for Helicopter & Truck

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SUMMARY

The discussion centers on calculating the net upward force on a 15,000 kg helicopter lifting a 4,500 kg truck with an upward acceleration of 1.4 m/s². The net upward force on the helicopter blades is determined using Newton's second law, while the tension in the cable connecting the helicopter and truck is derived from the forces acting on the truck. The key equations utilized include T = mg for weight calculations and the summation of forces to find the required tension for the truck's acceleration.

PREREQUISITES
  • Newton's Second Law of Motion
  • Basic concepts of force and tension
  • Understanding of weight calculation (T = mg)
  • Knowledge of acceleration and its effects on mass
NEXT STEPS
  • Calculate net forces using Newton's Second Law in various scenarios
  • Explore tension calculations in systems with multiple objects
  • Learn about frictionless surfaces and their impact on force calculations
  • Investigate real-world applications of tension in aviation and transport
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Students in physics, engineers working on mechanical systems, and anyone interested in understanding the dynamics of forces in lifting scenarios.

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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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