- #1
Trapezoid
- 10
- 0
Homework Statement
Let [itex] \vec{R} = (t + \sin t) \hat{i} + (t + \cos t) \hat{j} [/itex] denotes at time t the position of a moving particle. Determine the radial and circumferential components of acceleration as a function of t.
Homework Equations
[tex] v_r = \dot{r} [/tex]
[tex] v_{\theta} = r\dot{\theta} [/tex]
The Attempt at a Solution
I tried to write r in terms of t using [itex]r = \sqrt{x^2 + y^2} [/itex], but the derivative was complicated. I do not know how to write [itex]\theta[/itex] in terms of t. We were asked to determine the tangential and normal components of acceleration in the previous part of the question, but I do not see how they will avail me. Could anybody point me in the right direction?
Thanks,
Trapezoid