scholarly journals Vorticity, gyroscopic precession, and spin-curvature force

2013 ◽  
Vol 87 (4) ◽  
Author(s):  
Wei Chieh Liang ◽  
Si Chen Lee
Author(s):  
J. L. HERNÁNDEZ-PASTORA ◽  
J. MARTÍN ◽  
E. RUIZ

1964 ◽  
Vol 32 (8) ◽  
pp. 595-596 ◽  
Author(s):  
Lewis Larmore

2021 ◽  
Author(s):  
Martin Ziegler

Abstract In general, the curling stone is subject to mixed lubrication, resulting in the characteristic Stribeck -curve. As velocity increases, the friction force falls quadratically just to rise linearly yet almost flat after the minimum. In the case of a rotating curling stone this results in a torque. Due to isotropy , the lateral force arises as a delta of asymmetric friction forces opposite to the centripetal forces. \par This in turn allows a split friction model that splits up the quadratic curve into two rather constant values for the friction force on the advancing and the retreating side below a critical velocity difference of these sides: the flee force on the advancing side must not exceed the normal force of the retreating side. Only then a curl can happen. This explains why a stone curls towards the end of the throw. \par Following basic static considerations, the stone may theoretically rest on up to three points during a throw. Each single static case is investigated. These results are discussed with additional heuristic calculations that involve Scratch-Theory. Lastly, the influence of gyroscopic precession yields a graph that reflects established experimental observations: A desired flat curve within deviations ranging from 0.80 to 1.02 meter for up to 20 rotations just to rise linearly up to 2 meters for 80 rotations.


1965 ◽  
Vol 33 (10) ◽  
pp. 847-847 ◽  
Author(s):  
J. L. Snider

Author(s):  
Arbab Arbab

A photon inside a gravitational eld dened by the accelerates g is found to have a gravitational mass given by mg = (ћ=2c3)g, where ћ is the reduced Planck's constant, and c is the speed of light in vacuum. This force is equivalent to the curvature force introduced by Einstein's general relativity. These photons behave like the radiation emitted by a black hole. A black hole emitting such a radiation develops an entropy that is found to increase linearly with black hole mass, and inversely with the photon mass. Based on this, the entropy of a solar black hole emitting photons of mass ~10-33eV amounts to ~1077 kB. The created photons could be seen as resulting from quantum fluctuation during an uncertainty time given by Δt = c/g. The gravitational force on the photon is that of an entropic nature, and varies inversely with the square of the entropy. The power of the massive photon radiation is found to be analogous to Larmor power of an accelerating charge.


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