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

The problem statement is a) to find expression for the position, velocity, and acceleration vectors, and to describe the path of the object in an xy plot. The coordinates of object moving in the xy plane vary with time according to the equations:

x = - 5.00m sin(wt), w is a constant.

y = 4.00m + 5.00m cos(wt) , w is a constant.

3. The attempt at a solution

For a)

r = xi + yj = (4.00 m)j + (5.00 m)[ -sin(wt)i - cos(wt)j ]

v = (5.00 m)w [ -cos(wt)i + sin(wt)j ]

a = (5.00 m)w^2 [ sin(wt)i + sin(wt)j ]

3. My problem

I have been told that the object moves in a circle of radius 5.00m and its centered at (0, 4.00m).

I really don't get it. I don't understand why.

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# Homework Help: Describe the path of the object in an xy plot.

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