An Elementary Treatise On Dynamics, Containing Applications to Thermodynamics, With Numerous Examples

Cover An Elementary Treatise On Dynamics, Containing Applications to Thermodynamics, With Numerous Examples
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In the same case, find the point of its length, at which either half of the bar would strike perpendicularly against a fixed obstacle with the greatest force of percussion.
18. Assuming that the Earth's orbit is circular, show that its motion, both of translation and of rotation, could be destroyed by a sudden impulse applied when the Earth is in a solstice.
19. Assuming the Earth to be a homogeneous sphere, calculate in the pre- ceding Example the distance from the Earth's centre of the line o
...f action of the required impulse. Am. 24 miles, approximately.
244. Stress in Initial Motion. — Stresses are de- termined, as we have seen, by using the dynamical equa- tions for a free body, and introducing unknown reactions instead of the geometrical conditions. In many cases where the general equations of motion cannot be integrated, the initial stresses may be obtained by differentiating the geo- Examples. 293 metrical equations twice, and introducing into the equations thus obtained the initial values of the coordinates and of their differential coefficients with respect to the time, which are supposed to he given.


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