Radial & Angular Trajectory: Solving for Force

AI Thread Summary
To solve for the radial and angular components of force for a particle with mass 10kg following the trajectory r=10-2t and θ=0.2t, one must first determine the acceleration as a function of time using geometric principles. The radial component of acceleration can be derived from the change in radius, while the angular component relates to the change in angle over time. Once the acceleration components are established, Newton's second law can be applied to find the corresponding force components. This approach combines kinematics with dynamics to yield the required force functions over time. Understanding the relationship between position, velocity, and acceleration is crucial for accurately solving the problem.
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

 
Physics news on Phys.org
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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Thread 'A cylinder connected to a hanging mass'

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