Newton's Laws of Motion on a helicopter

AI Thread Summary
To calculate the force exerted by the air on the helicopter blades while lifting a 4000-kg truck with an upward acceleration of 0.9 m/s², one must consider both the weight of the helicopter and the truck. If the helicopter is hovering, the total force includes the weight of both the helicopter and the truck, factoring in the additional upward acceleration. In this case, the weight of the truck is calculated using its mass and the acceleration due to gravity, then adding the upward acceleration to determine the total force. If the helicopter is also accelerating, the inertial acceleration must be included in the calculations. Understanding these dynamics is essential for solving the problem accurately.
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Homework Statement



A 12000- kg helicopter is lifting a 4000- kg truck with an upward acceleration of 0.9 m/s2. Calculate the force the air exerts on the helicopter blades.

Homework Equations



F = ma

The Attempt at a Solution



I have no idea! Please help!
 
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Well the answer depends on whether the helicopter is hovering (stationary) or is also accelerating with the truck.

Let's assume the helicopter is hovering. It has a weight which is the product of its mass and the acceleration of gravity.

Now looking at the truck, it also has a weight which is the product of its mass and the acceleration due to gravity, but the helicopter is pulling it up with an additional acceleration of 0.9 m/s2, so one has to add that acceleration to the acceleration of gravity to get the combined force.


If the helicopter is also accelerating then one has to add that inertial acceleration to the acceleration of gravity.

g = 9.81 m/s2
 
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