(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A particle moves in a two-dimensional orbit defined by:

x(t)= A(2[tex]\alpha[/tex]t-sin([tex]\alpha[/tex]t)

y(t)= A(1-cos([tex]\alpha[/tex]t)

a) Find the tangential acceleration a_t and normal acceleration a_n as a function of time where the tangential and normal components are taken with respect to the velocity.

2. Relevant equations

x''(t)= A[tex]\alpha[/tex]^2sin([tex]\alpha[/tex]t)

y''(t)= A[tex]\alpha[/tex]^2cos([tex]\alpha[/tex]t)

3. The attempt at a solution

I found both the velocity and acceleration for both x and y vectors given and realize that a(t)= x''(t)i[tex]\widehat{}[/tex]+ y''(t)j[tex]\widehat{}[/tex]

also I know that:

a(t)=a_nr[tex]\widehat{}[/tex]+a_t[tex]\phi[/tex][tex]\widehat{}[/tex]

So I need to find x" and y" in terms of polar to get the answe for a_n and a_t

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# Homework Help: Changing from cartesian to polar

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