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The Circular Orbits
The bounded motion of a particle in a central force is in general an ellipse given by
where eccentricity e is related to semi-major and minor axes as,b2 = a2 (1 - e)2Hence, if e = 0, b = a, and the ellipse degenerates into a circular orbit. The radius of the circular orbit is, If the particle m is moving in a gravitational force of a fixed mass M, C = GmM, and we get That is, the radial gravitational force is equal to necessary centripetal force required for the particle in the circular orbit.The planetary data shows that eccentricity e for most of the planets, including earth, is nearly equal to zero. Hence, their orbits are really indistinguishable from circles. However, these circular looking orbits are not concentric with Sun at the center; this is because, these are in fact ellipses, with Sun at the focus.
Expression for normal and shear stress: Derive expression for normal and shear stress on the plane AE inclined at an angle B with AB subjected to the direct stresses of compr
Problem: (a) What is the best paper to use when printing metallic inks? Explain your answer. (b) A multiple page printed document such as a book, brochure or booklet needs f
A cam is required to a lift of 30 mm for a rotation range of 60 o . The follower then dwells at this level for a further 90 o and then falls over the next 60 o . Finally the rest
How a turbine works
Q. What do you mean by extrusion? • Extrusion is a process used to create objects of a fixed cross-sectional profile. A material is pushed or drawn through a die of the desir
Shear Forces and Bending Moments: A beam is a structural member, subjected to a system of external forces (involving inclined load) to generate the bending of the member in
limitations of euler''s theory
Cam: This is an integral part of camshaft. A cam is designed in such a way as to open or close the valves at the correct timing and keep them open for the necessary duration.
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Determine the reaction: The cantilever is shown in the figure given below; determine the reaction when it is loaded. In cantilever at fixed end ( A ) there is three reac
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