| Problem statement Solution video |
DISCUSSION THREAD
Discussion and hints:
For the polar description to be used here, the radial unit vector eR points from O toward P. The transverse unit vector eθ is perpendicular to eR and points in the direction of increasing angle θ (clockwise from eR).
The solution of this problem comes down to trig – can you do the projections of vP and aP onto the polar unit vectors eR and eθ ? For example, the velocity of P can be written as vP = vP sinθ eR + vP cosθ eθ. And, the acceleration of P can be written as aP = –aP cosβ eR – aP sinβ eθ . No formulas to remember, just look at the figure and do the trig! From these results, you can identify the time derivatives of R and θ.
Any questions??
The wrong image and description are posted here; it seems like H1.E was accidentally reposted as H1.F here on the blog. The problem for H1.F is attached to the link though.
It is now fixed. Thanks for pointing out the error.