Calculating rate of change of momentum for a package

AI Thread Summary
To calculate the rate of change of momentum for the package suspended from the helicopter, first determine the angle between the string and the package using the relationship tan(x) = H/L, leading to x = arctan(H/L). Once the angle is established, resolve the forces acting on the package to find the resultant force. The rate of change of momentum can be calculated by considering the net force and the mass of the package. The package is moving at the same speed as the helicopter, but it may experience acceleration depending on the forces acting on it, such as tension and gravity. Understanding these dynamics is crucial for accurately determining the rate of change of momentum.
EmSeeSquared
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A helicopter is flying to the right (in the +x direction) with a constant speed v, carrying a package of mass M suspended below it using a cable as shown in the figure (you can assume that H and L are not changing with time).

Choose the package as your system. What is its rate of change of momentum?
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So, what I figured out is to calculate the angle between the string and the package using H and L. I draw a triangle and find the angle using tanx = H/L, then x = arctan(H/L)

After I get the angle I can resolve to find the resultant force. But how do I get the rate of change of momentum with that?
 
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What speed is the package doing?
Is the package accelerating?
 

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