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May 25th, 2012, 03:51 AM   #1
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Velocity

Hi

Need some help on this

A model car of mass m moves on a horizontal track so that its desplacement r from a fixed origin at the time t is given by

r(t)=2cos(t)i+1/roots 2 sin(2t)j, Where 0 is equal to and great than t is equal or less than 2pi

I need to determine the velocity and acceleration of the car at time t.

Arron
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May 25th, 2012, 07:26 AM   #2
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Re: Velocity





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May 26th, 2012, 02:17 AM   #3
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Re: Velocity

Thank you so much.

I just need to show that the car passes throught the origin exactly twice in the time interval and determine the two times.

Can anyone help.

Arron
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May 26th, 2012, 04:25 AM   #4
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Re: Velocity

[color=#000000]In [0,2?] cos(t) and sin(2t) are zeroed simultaneously in ?/2 and 3?/2....here is the trajectory that looks like the infinity symbol.

[attachment=0:7blu6bwg]trajectory.gif[/attachment:7blu6bwg][/color]
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File Type: gif trajectory.gif (4.4 KB, 287 views)
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May 26th, 2012, 07:51 AM   #5
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Re: Velocity

Thanks, Finally just need to determine the times at which the velocity of the car is perpendicular to its displacement and the position vector of the car at these times.

Arron
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May 30th, 2012, 11:53 AM   #6
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Re: Velocity

Hi did you ever get anywhere with this?
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May 30th, 2012, 12:34 PM   #7
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Re: Velocity

I know I am not very good with this, but please could someone help me with the last point.
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May 31st, 2012, 05:23 AM   #8
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Re: Velocity

Perhaps one of the reasons you are not very good at this is that you keep asking others to do it for you.

You learn mathematics by doing mathematics, not by watching someone else do it.
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