Calculating rate of change of momentum for a package

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SUMMARY

The discussion centers on calculating the rate of change of momentum for a package suspended from a helicopter flying at a constant speed v in the +x direction. The user determines the angle between the string and the package using the relationship tan(x) = H/L, where H is the height and L is the length of the cable. To find the rate of change of momentum, the user must resolve the forces acting on the package and consider its velocity and potential acceleration. The key to solving the problem lies in understanding the dynamics of the system and applying the principles of momentum.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic trigonometry, specifically the tangent function
  • Knowledge of momentum and its calculation
  • Familiarity with vector resolution of forces
NEXT STEPS
  • Study the principles of momentum in physics
  • Learn about vector resolution techniques in force analysis
  • Explore the concept of acceleration in relation to forces
  • Investigate the dynamics of suspended systems in motion
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Physics students, engineers, and anyone interested in understanding the dynamics of moving systems and the calculation of momentum in suspended objects.

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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?
nRbKWif.png

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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