Radial & Angular Trajectory: Solving for Force

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SUMMARY

The discussion focuses on calculating the radial and angular components of force for a particle with a mass of 10 kg, following a trajectory defined by r = 10 - 2t and θ = 0.2t. Participants emphasize using geometric methods to determine acceleration at time t, which is essential for deriving the force components. The conversation highlights the importance of applying Newton's second law to relate acceleration to force in this context.

PREREQUISITES
  • Understanding of polar coordinates and their application in physics
  • Knowledge of Newton's second law of motion
  • Familiarity with kinematic equations for motion in polar coordinates
  • Basic principles of calculus for deriving functions of time
NEXT STEPS
  • Study the derivation of acceleration in polar coordinates
  • Learn how to apply Newton's second law to non-linear motion
  • Explore the relationship between radial and angular components of force
  • Investigate examples of particle motion in polar coordinates
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in dynamics and motion analysis in polar coordinates.

engineertech0
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Homework Statement



A particle with mass 10kg starts from rest at r = 10 and θ=0 radians, following the trajectory given by r=10-2t , θ=0.2t. Find the radial and angular components and of the force, as functions of time, that will cause this motion


Homework Equations



I am unsure what formulas are needed to solve this equation

The Attempt at a Solution

 
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hi engineertech0! :smile:

you are given the path, so you can find the acceleration at time t as a matter of geometry …

then use physics to find the force at time t :wink:
 

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