3 Answered Questions for the topic Curvature
03/16/20
Finding the equation of a circle with a curvature equal to the curvature of a given curve at a point
"Find an equation for the circle of curvature of the curve r(t)=8t i + sin(5t) j at the point (4pi,1). (the curve parameterizes the graph of y=sin(5/8X) in the xy plane) Ive already found v(t)=8...
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How exactly does curved space-time describe the force of gravity?
I understand that people explain (in layman's terms at least) that the presence of mass "warps" space-time geometry, and this causes gravity. I have also of course heard the analogy of a blanket or...
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11/13/14
Concept of Curvature
i. By means of appropriate examples in two, three and four dimensions, explain the concept of curvature.
ii. What criteria could be used to determine of a space (or spacetime) is flat or curved?
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