At the instant shown, the car at A is traveling at (solved)

At the instant shown, the car at A is traveling at 10 m/s around the curve while increasing its speed at 5 m/s^2. The car at B is traveling at 18.5 m/s along the straightaway and increasing its speed at 2 m/s^2. Determine the relative velocity and relative acceleration of A with respect to B at this instant.
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Book used: R. C. Hibbeler and K. B. Yap, Mechanics for engineers - dynamics. Singapore: Pearson Education, 2014.

[@BODYBUILDERS_AGAINST_FEMINISM]

i wish every dynamics problem was as straightforward as this one

[@QuestionSolutions]

They become much easier as you do more questions 👍

[@jhfghrt1918]

Thanks you very much!

[@QuestionSolutions]

You are very welcome!

[@McBobtheruggaman]

Hello. For some reason the direction angle of the relative velocity with respect to B came back incorrect. I'm referring to your number of 31.7. I had different numbers, and did the same process. And the process seems correct to me, so I'm not quite sure what's going on. Any idea?

[@QuestionSolutions]

Hi, so only your angle came back incorrect? What was your v_{a/b} in Cartesian form? Or maybe you can show your steps? It's hard to tell without seeing the process, sorry.

[@McBobtheruggaman]

@@QuestionSolutions It's okay. I think your method is correct because my angle for the acceleration came back as correct. It's possible I ran into a number crunching error. No time to chase negatives tonight though, I have a dynamics test on Wednesday!! I'm just going to move onto other problems. Thank you for your fast, thorough and concise response though! You respond faster than my professor lol

[@QuestionSolutions]

@@McBobtheruggaman I am glad to hear you got it! Best of luck with your test. :)

[@Gomepez]

@@QuestionSolutions Im facing the same issue. Car B has a speed of 21.5 and all other factors are the same. Im getting arctan(-7.07/14.43) and my angle as 26. i think the homework is just wrong at this point.

[@QuestionSolutions]

@@Gomepez Like the person above you, are you saying you're getting correct values except for your angle?

[@REANS]

Me when I see a problem with the angle of 45 degrees: ah yes, another one I can solve 🤣.

[@QuestionSolutions]

😅😅

[@user-fi3ui9uu1z]

it is a great fantastic of your tutor.However i inform you to minimize your speed and cancelling of the workout

[@QuestionSolutions]

Thanks for your feedback.

[@ucansincap6571]

if he said that a is decreasing with the speed of 5, then what should we do what would have changed

[@QuestionSolutions]

At 1:02, (a_A)_t = -5, so it just turns from positive 5 to negative 5. The rest of the steps also follow this negative sign change for (a_A)_t

[@ShiraziOnEverything]

Could you please explain how the angle at the center (45 deg) is applied to the velocity components in Va? Thanks.

[@ShiraziOnEverything]

Nah, I got it, thanks.

[@QuestionSolutions]

Great :)

[@Spiral-ob4pn]

@@QuestionSolutions same question can You plz show it because i don't know how

[@QuestionSolutions]

@@Spiral-ob4pn Hi, please see: bit.ly/3kaMzLw I drew the angles for you. Thanks!

[@Spiral-ob4pn]

@@QuestionSolutions Thanks a lot for your help

[@comeburghgraeve4288]

Génial, super vidéo !

[@QuestionSolutions]

Thank you!