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The circle x 2 + y 2 = r 2 . Compute the time required for an object to travel t

ID: 3215974 • Letter: T

Question

The circle x2 + y2= r2. Compute the time required for an object to travel the length of a chord from the top of the circle to another point on the circle at an angle of ?? from the vertical assuming that gravity (acting downward) is the only force. <?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" /?>

Use the facts that 1) an object traveling with a constant acceleration covers a distance d in time ?(2d/a). Show that the component of gravity in the dirction of the chord is a=cos??. If the chord ends at the point (x,y) show that the length of the chord is d = ?(2r2-2ry) Also show that cos?? = (r-y)/d. Compute the time it takes to travel the chord.

I tried to include the picture but was unable to.

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(X,Y)

Explanation / Answer

sorry to say but i am not able to see angle you have mentioned

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