Radial & Angular Trajectory: Solving for Force

[engineertech0]

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

 

[tiny-tim]

hi engineertech0!

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 ​